state unknown | questions unknown |
|---|---|
"Problem Statement:\nA (1/4) in. thick belt operates on a 1 ft. pulley rotating at 800 rpm and delivers 25 hp. Calculate the belt width based on the following data: a) the allowable belt stress is 550 psi. b) the angle of contact is 160 degrees. c) the coefficient of friction is 0.45. d) the specific weight of belt mat... | {
"stem_1347": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.0 in.",
"opt_B": "2.0 in.",
"opt_C": "1.5 in.",
"opt_D": "7.0 in.",
"opt_E": "3.0 in.",
"opt_F": "4.5 in.",
"opt_G": "4.0 in... |
"Problem Statement:\nIn order for a photon of light incident upon metallic potassium to eliminate an electron from it, the photon must have a minimum energy of 4.33eV(photoelectric work function for potassium). What is the wavelength of a photon of this energy? Assume h = 6.626 × 10^-27 erg-sec and c = 2.998 × 10^10 cm... | {
"stem_1348": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2000 Å",
"opt_B": "2500 \\AA",
"opt_C": "2864 \\AA",
"opt_D": "2200 Å",
"opt_E": "4500 Å",
"opt_F": "3400 Å",
"opt_G": "3700 Å... |
"Problem Statement:\n(1/2)CH_4 + O_2 + 3.76N_2 \\rightharpoonup (1/2)CO_2+ H_2O + 3.76N_2 This combustion can happen as a constant pressure or constantvolume process. Calculate the maximum temperaturesof combustion for these two processes. Assume that for the temperature range of interest, the specificheats are constan... | {
"stem_1349": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3554°C for constant volume, 2267°C for constant pressure",
"opt_B": "2954°C for constant volume, 2967°C for constant pressure",
"opt_C": "3654°C for c... |
"Problem Statement:\nDetermine the heat needed to raise 60 g ofPbfrom 20°C to 360°C, given its specific heats are 0.0306 (solid) and 0.0375 (liquid). Its heat of fusion is 5.86 cal/g; its melting point is 327°C." | {
"stem_1350": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "990 cal",
"opt_B": "74 cal",
"opt_C": "352 cal",
"opt_D": "680 cal",
"opt_E": "564 cal",
"opt_F": "1250 cal",
"opt_G": "850 ca... |
"Problem Statement:\nA load of 7.5 tons is to be lifted from a depth of 760 ft. using a wire rope. It is suggested to use a widely applied 6 × 19 IPS rope of diameter 1(1/2) in. and drum of diameter 96 in. Check if these sizes are suitable." | {
"stem_1351": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Both the rope and the drum sizes are not acceptable",
"opt_B": "Both the rope and the drum sizes are acceptable, but the rope material needs to be upgraded"... |
"Problem Statement:\nA vessel which contains gases A and B at 1atmand 40°F is connectedto another vessel with a different concentration of thegases at the same conditions of pressure and temperature. The vessels are connected by a 9 in. long tube ofinside diameter 1.5 in. (I)Determinethe steady state rate of transport ... | {
"stem_1352": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "N_A = 8.0 × 10^-5 lb moles / hr, q = 0.065 Btu / hr",
"opt_B": "N_A = 7.0 × 10^-5 lb moles / hr, q = 0.02 Btu / hr",
"opt_C": "N_A = 5.0 × 10^-5 lb mo... |
"Problem Statement:\nA 220-volt, 60-hertz, 10-hp, single-phase induction motor operates at an efficiency of 86% and a power factor of 90%. What capacity should be placed in parallel with the motor so that the feeder supplying the motor will operate at unity power factor?" | {
"stem_1353": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "239 microfarads",
"opt_B": "210 microfarads",
"opt_C": "250 microfarads",
"opt_D": "209 microfarads",
"opt_E": "270 microfarads",
"o... |
"Problem Statement:\nApreemphasiscircuit of transfer function \\vertHp(f)\\vert^2 = k^2f^2 is used in an FM system, with the modulating signal having spectral density of G(f) = [{G_o} / {1 + (f / f_1)^2}] where f_1 << f_m. Determine a suitable value of k^2 such thatpreemphasisdoes not affect the bandwidth of the channe... | {
"stem_1354": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "k^2 \\geq [{\\pi} / {f_1(2f_m - \\pif_1)}]",
"opt_B": "k^2 \\leq [{\\pi} / {2f_1(2f_m + \\pif_1)}]",
"opt_C": "k^2 \\leq [{2\\pi} / {(f_1 + f_m)(2f_m)... |
"Problem Statement:\nA 3-liter bulb containing oxygen at 195 torr is connected to a 2-liter bulb containing nitrogen at 530 torr by means of a closed valve. The valve is opened and the two gases are allowed to equilibrate at constant temperature, T. Calculate the equilibrium pressure." | {
"stem_1355": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "725 torr",
"opt_B": "485 torr",
"opt_C": "530 torr",
"opt_D": "250 torr",
"opt_E": "329 torr",
"opt_F": "362.5 torr",
"opt_G":... |
"Problem Statement:\nWhat is Newton's Law of cooling as applied to convective heattransfer?" | {
"stem_1356": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "q = hA\\DeltaT",
"opt_B": "q = h^2A\\DeltaT",
"opt_C": "q = hA(T^2 - T_0^2)",
"opt_D": "q = h\\DeltaT / A",
"opt_E": "q = hA/T",
"op... |
"Problem Statement:\nThe annular space between two concentricaluminium spheres is evacuated to provide insulation to the system. The radii of the inner and outer spheres are 0.75 ft and 1.0 ft, respectively. The inner sphere containsliquified oxygen and the outer sphere is maintained at 45°F. The boiling temperature of... | {
"stem_1357": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.07 Btu/hr",
"opt_B": "22.15 Btu/hr",
"opt_C": "17.89 Btu/hr",
"opt_D": "12.48 Btu/hr",
"opt_E": "18.75 Btu/hr",
"opt_F": "15.26 B... |
"Problem Statement:\nA solution made up of 150 grams of benzene and 25.1 grams of a solute has a freezing point of - 1.92°C. The freezing point of pure benzene is 5.50°C and themolal freezing point constant is 5.10. Determine the approximate molar weight of the solute." | {
"stem_1358": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "120 g solute/mole solute",
"opt_B": "95 g solute/mole solute",
"opt_C": "110 g solute/mole solute",
"opt_D": "130 g solute/mole solute",
"... |
"Problem Statement:\nSteel, with an initial carbon concentration of 0.30% by weight, is placed in a carburizing atmosphere for 1.5 hr. The surfaceconcentration of carbon,c_A,s, is 0.75%. The diffusivityof carbon in steel is 1.1 × 10^-11 m^2/sec at the existentconditions of pressure and temperature. Obtain the concentra... | {
"stem_1359": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.58% carbon, 0.49% carbon, 0.37% carbon",
"opt_B": "0.55% carbon, 0.45% carbon, 0.35% carbon",
"opt_C": "0.60% carbon, 0.51% carbon, 0.39% carbon",
... |
"Problem Statement:\nWhat is the electromotive force (emf) of a system when K, the equilibrium constant for the reaction = Q, the concentration quotient?" | {
"stem_1360": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-2",
"opt_B": "1",
"opt_C": "-0.5",
"opt_D": "0.5",
"opt_E": "2",
"opt_F": "The natural logarithm of Q",
"opt_G": "The natural... |
"Problem Statement:\nConsider the following reaction at 25°C C(s) + 2H_2O (g) = CO_2(g) + 2H_2(g) Calculate the heat capacity at constant pressure, C_P , for each of the substances in the reaction. For H_2O(g), assume the contribution to C_P from thevibrationalmode is 20%." | {
"stem_1361": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "C(s): 6.5 cal K^-1mol^-1, H_2O(g): 8.7 cal K^-1mol^-1, CO_2(g): 7.9 cal K^-1mol^-1, H_2(g): 5.4 cal K^-1mol^-1",
"opt_B": "C(s): 6 cal K^-1mol^-1, H_2O(g): ... |
"Problem Statement:\nThe normal boiling point of water is 9720 cal/mole. Calculate the heat of vaporization at 35°C and 1 atm. Use thefollowing C_p values to solve the problem. C_p Values forH_2O(1); C_p = 18.06 cal deg^-1 mole^-1 (independentof temperature) forH_2O(g); C_p = 7.219 + 2.374(10^-3)T + 2.67(10^-7)T^2 cald... | {
"stem_1362": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "650 cal/mole",
"opt_B": "18.06 cal/mole",
"opt_C": "9720 cal/mole",
"opt_D": "9,850 cal/mole",
"opt_E": "9,500 cal/mole",
"opt_F": "... |
"Problem Statement:\nA liquid compressed in a cylinder has a volume of 1 liter (l) (1000 cm^3) at 1 MN/m^2 and a volume of 995 cm^3 at 2MN/m^2. What is the bulk modulus of elasticity?" | {
"stem_1363": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "400 Mpa",
"opt_B": "600 Mpa",
"opt_C": "750 Mpa",
"opt_D": "150 Mpa",
"opt_E": "500 Mpa",
"opt_F": "250 Mpa",
"opt_G": "350 Mp... |
"Problem Statement:\nvoltage = 250J = 1.2 n-m-sec^2 line current = 95 amperes speed = 863 rpm armature resistance = 0.10 ohm field resistance = 225 ohms The d-c machine is to be used as a separately excited generator. It is to deliver a full load current of 95 amperes at a voltage of 250 when driven at a constant speed... | {
"stem_1364": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "gross field circuit resistance and field current: 220 ohms, 1.2 amp; electromagnetic torque and power: 260 newton-meters, 25,000 watts; no-load terminal voltage a... |
"Problem Statement:\nHow many moles of propane (C3H8) are there in 6.2 g of propane?" | {
"stem_1365": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.1 mol",
"opt_B": "7.1 mol",
"opt_C": "71 mol",
"opt_D": "14.1 × 10^-1 mol",
"opt_E": "1.4 × 10^-1 mol",
"opt_F": "1.41 × 10^2 mol... |
"Problem Statement:\nThe magnetisation and applied field in ferromagnetic materials are related" | {
"stem_1366": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "linearly.",
"opt_B": "cubically.",
"opt_C": "parabolically.",
"opt_D": "logarithmically.",
"opt_E": "hyperbolically.",
"opt_F": "inv... |
"Problem Statement:\nCalculate the heat added when one mole of carbon dioxide is heated at constant volume from 540 to 3540 F." | {
"stem_1367": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "28,500 Btu",
"opt_B": "34,650 Btu",
"opt_C": "40,000 Btu",
"opt_D": "25,000 Btu",
"opt_E": "45,000 Btu",
"opt_F": "30,000 Btu",
... |
"Problem Statement:\nWhat is the equilibrium concentration of oxygen gas in fresh water at 25° C when exposed to air at a pressure of 760 torr? The Henry's law constant for oxygen in water at 25°C is 3.30 × 10^7torrs. Express your answer in milligrams of oxygen per liter." | {
"stem_1368": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "65mg/l",
"opt_B": "32mg/l",
"opt_C": "41mg/l",
"opt_D": "20mg/l",
"opt_E": "10mg/l",
"opt_F": "29mg/l",
"opt_G": "75mg/l",
... |
"Problem Statement:\nUsing the following data for cadmium, determine the absoluteis entropy ofCdat 298°K. Assume that T^3 law isvalid below 12°C and also, there is no difference between C_p andC_vat these low temperatures. Data C_p, cal / deg / g-atom C_p, cal / deg / g-atom °^T_K, cadmium °^T_K, cadmium 12 0.392 130 5... | {
"stem_1369": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12.186 cal / deg / g-atom",
"opt_B": "8.186 cal / deg / g-atom",
"opt_C": "20.186 cal / deg / g-atom",
"opt_D": "11.086 cal / deg / g-atom",
... |
"Problem Statement:\nA certain medium has a relative permittivity of 25 and a relative permeability of unity. Evaluate (a) the phase velocity of a wave in this medium; (b) the index of refraction of the medium." | {
"stem_1370": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.0 × 10^8 meters/sec, 10",
"opt_B": "0.7 × 10^8 meters/sec, 7",
"opt_C": "0.5 × 10^8 meters/sec, 5.5",
"opt_D": "0.6 × 10^8 meters/sec, 5",
... |
"Problem Statement:\nH_2S is absorbed from air at 2 atm. total pressure and 30°C in apacked bed. The gas-phase mass transfer coefficient,k_c', hasbeen predicted to be 11 lb \\bullet mole/hr-ft^2 \\bullet (lb \\bullet mole/ft^3). At a given location, the mole fraction of H_2S in the liquid at theinterface is 2 × 10^-5 a... | {
"stem_1371": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.075 lb-moles/hr/ft^2",
"opt_B": "0.049 lb-moles/hr/ft^2",
"opt_C": "0.052 lb-moles/hr/ft^2",
"opt_D": "0.050 lb-moles/hr/ft^2",
"opt_E":... |
"Problem Statement:\nChemical reactions can be classified as either heterogeneous or homogeneous. Which of the following equations below is best classified as a heterogeneous reaction?" | {
"stem_1372": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2C2H2(g) + 5O2(g) → 4CO2(g) + 2H2O(g)",
"opt_B": "C2H2(g) + 5N2O(g) → CO2(g) + H2O(g) + 5N2(g)",
"opt_C": "C2H5OH(aq) + O2(aq) → HC2H3O2(aq) + H2O(aq)... |
"Problem Statement:\nThe photoelectron spectrum of carbon has three equally sized peaks. What peak is at the lowest energy?" | {
"stem_1373": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The 2p peak has the lowest energy.",
"opt_B": "The 3d peak has the lowest energy.",
"opt_C": "The 2d peak has the lowest energy.",
"opt_D": "The... |
"Problem Statement:\nWhat activation energy should a reaction have so that raising the temperature by 10°C at 0°C would triple the reaction rate?" | {
"stem_1374": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.03 × 10^5 J/mole",
"opt_B": "3.14 × 10^1 J/mole",
"opt_C": "1.10 J/mole",
"opt_D": "6.02 × 10^23 J/mole",
"opt_E": "1.38 × 10^-23 J/mole... |
"Problem Statement:\nA 10-kva, 440/110-volt, 60-cps, single-phase transformer has an efficiency of 97.5% at a rated load of unity power factor. The full-load copper loss is 150 watts, and the core loss is 100 watts. Determine the kilovolt-ampere rating as a 550/440-volt autotransformer, and (b) the efficiency when supp... | {
"stem_1375": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50kva and 99.38%",
"opt_B": "55kva and 95.5%",
"opt_C": "58kva and 93.8%",
"opt_D": "65kva and 94%",
"opt_E": "48kva and 96.5%",
"op... |
"Problem Statement:\n750 ml of gas at 300torrpressure and 50°C is heated until the volume of gas is 2000 ml at a pressure of 700torr. What is the final temperature of the gas?" | {
"stem_1376": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "800°C",
"opt_B": "1600°C",
"opt_C": "1737°C",
"opt_D": "1800°C",
"opt_E": "2000°C",
"opt_F": "2250°C",
"opt_G": "1200°C",
... |
"Problem Statement:\nCalculate the electrostatic energy of a system consisting of a point charge q located at the center of a spherical conducting shell of inner radius r_1 and outer radius r_2." | {
"stem_1377": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "{1 / (4\\pi\\epsilon_0)} (q / r^2)",
"opt_B": "{1 / (4\\pi\\epsilon_0)} (1/4) q^2 {(1 / r_1) - (1 / r_2)}",
"opt_C": "{1 / (4\\pi\\epsilon_0)} (q / r_... |
"Problem Statement:\nBefore the advent of pH meters,aurologist collected 1.3 litersof urine from a hospitalized patient over the course of a day. In order to calculate what the pH was a laboratory techniciandetermined the number of equi-valents of acid presentin the sample. A given sample of urine contains 1.3 × 10^-6 ... | {
"stem_1379": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.5",
"opt_B": "6",
"opt_C": "6.8",
"opt_D": "6.5",
"opt_E": "7.5",
"opt_F": "3.5",
"opt_G": "4",
"opt_H": "5",
"o... |
"Problem Statement:\nThe first ionization energy for a neutral atom of chlorine is 1.25 MJ/mol and the first ionization energy for a neutral atom of argon is 1.52 MJ/mol. How would the first ionization energy value for a neutral atom of potassum compare to those values?" | {
"stem_1380": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "It would be greater than both because the size of a potassium atom is smaller than an atom of either chlorine or argon.",
"opt_B": "It would be greater than... |
"Problem Statement:\nUsing the bond energy table below, determine the enthalpy - - ofethane at STP. Assume that the enthalpy of solid carbon andH_2 gas is zero under these conditions. BOND ENERGIES IN KCAL/G MOLE Bond Energy Bond Energy H-H 104.2 H-I 71.4 C-C 83.1 C-N 69.7 Cl-Cl 58.0 C-O 84.0 Br-Br 46.1 C-Cl 78.5 I-I 3... | {
"stem_1381": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "254.1 kcal",
"opt_B": "532.7 kcal",
"opt_C": "656 kcal",
"opt_D": "589.3 kcal",
"opt_E": "420.8 kcal",
"opt_F": "128.2 kcal",
... |
"Problem Statement:\nWhat are the mole fractions of solute and solvent in a solution prepared by dissolving 98 g H_2SO_4 (M.W. 98) in 162 g H_20 (M.W. 18)?" | {
"stem_1382": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Mole fraction of H_2SO_4 = 0.1, Mole fraction of H_2O = 0.9",
"opt_B": "Mole fraction of H_2SO_4 = 0.05, Mole fraction of H_2O = 0.95",
"opt_C": "Mole... |
"Problem Statement:\nWhen potassium perchlorate, KClO4, dissolves in water, the temperature of the resultant solution is lower than the initial temperature of the components. Which of the following conclusions may be related to this?" | {
"stem_1383": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "This process is non-spontaneous and exothermic.",
"opt_B": "This process is spontaneous because it is endothermic.",
"opt_C": "This is a spontaneous p... |
"Problem Statement:\nCalculate the length of a half-wave dipole antenna so as to optimallyradiate a signal of 300 MHz when the velocity factorfor the antenna element is (A) 0.70 (B) 1.0" | {
"stem_1384": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.7 meters, 1 meter",
"opt_B": "0.6 meters, 0.9 meters",
"opt_C": "0.5 meters, 1 meter",
"opt_D": "0.55 meters, 0.85 meters",
"opt_E": "0.... |
"Problem Statement:\n23Na has an NMR frequency of 198.52 MHz in a 750 MHz NMR spectrometer. What is its magnetogyric ratio?" | {
"stem_1385": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20.78 x 10^7 T-1 s-1",
"opt_B": "9.45 x 10^7 T-1 s-1",
"opt_C": "12.61 x 10^7 T-1 s-1",
"opt_D": "0.9377 x 10^7 T-1 s-1",
"opt_E": "101.1 ... |
"Problem Statement:\nConsider the formation ofethylcyclohexane(C_8H_16) C_8H_10(l) + 3H_2(g) = C_8H_16\\DeltaH298°K= - 48.3 kcal and C_8H_8(l) + 4H_2 (g) = C_8H_16\\DeltaH_298°K = - 74.65 kcal . Given that at 298°K, the heats of combustion of C_8H_16 to water vapor and CO_2 is - 1238.23 kcal/mole, and the heats of form... | {
"stem_1386": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 26.4 kcal, 67.6 kcal",
"opt_B": "- 32.6 kcal, 64.1 kcal",
"opt_C": "-30.5 kcal, 70.2 kcal",
"opt_D": "- 24.7 kcal, 66.2 kcal",
"opt_E": ... |
"Problem Statement:\nThe ${ }^7 \\mathrm{Li}^1 \\mathrm{H}$ ground electronic state has $D_0=2.4287 \\mathrm{eV}, \\nu_e / c=1405.65 \\mathrm{~cm}^{-1}$, and $\\nu_e x_e / c=23.20 \\mathrm{~cm}^{-1}$, where $c$ is the speed of light. (These last two quantities are usually designated $\\omega_e$ and $\\omega_e x_e$ in t... | {
"stem_1387": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.4000 eV",
"opt_B": "2.6000 $\\mathrm{eV}$",
"opt_C": "2.5500 eV",
"opt_D": "2.3000 $\\mathrm{eV}$",
"opt_E": "2.4287 $\\mathrm{eV}$",
... |
"Problem Statement:\nConsider a lap-wound armature 4 feet in diameter, having 12 poles. The winding consists of 240 coils of 4 turns each and the length of the pole face is 10 inches. Sixty percent of the conductors lie under the pole face where the flux density is 60,000 lines per square inch, and 15 percent lie in th... | {
"stem_1388": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "175",
"opt_B": "180",
"opt_C": "240",
"opt_D": "250",
"opt_E": "220",
"opt_F": "200",
"opt_G": "230",
"opt_H": "196.5",
... |
"Problem Statement:\nA compressible gas flows over a flat plate. Properties of the gasare closely similar to those of air. The flow is at a temperatureand pressure of 700°F and 30psia, respectively. The plate is 1 in. in length and is assumed to beperfectly insulated. If the gas is moving at a speed of 500 ft/sec, calc... | {
"stem_1389": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "700.5°F",
"opt_B": "700°F",
"opt_C": "780°F",
"opt_D": "772°F",
"opt_E": "735°F",
"opt_F": "800°F",
"opt_G": "750°F",
"o... |
"Problem Statement:\nWater cools the inside of a pipe, with the transfer of heat accomplished by the mechanism of forced convection. The mass flow rate is 200 lbm/hr. The pipe is 10 ft. long and has a 4 in. internal diameter. If the water has an entrance temperature of 40°F and an exit temperature of 100°F, what is the... | {
"stem_1390": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "191.2°F",
"opt_B": "210°F",
"opt_C": "187.3°F",
"opt_D": "185°F",
"opt_E": "200°F",
"opt_F": "175°F",
"opt_G": "195.7°F",
... |
"Problem Statement:\nA chemist dissolves BaSO_4 , in pure water at 25° C. If its K_sp= 1 × 10-^10 , what is the solubility of the barium sulfate in the water?" | {
"stem_1391": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 × 10-^5 M",
"opt_B": "1 × 10-^4 M",
"opt_C": "1.5 × 10^-5 M",
"opt_D": "2.5 × 10^-6 M",
"opt_E": "3 × 10^-4 M",
"opt_F": "5 × 10^-... |
"Problem Statement:\nAn E. coli cell is 1.0\\mu in diameter and 2.0\\mu long and may be assumed to be cylindrical. It contains 80% water. If the intracellular pH is 6.4, calculate the number of H^+ ions in a single cell." | {
"stem_1392": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "75 H^+ ions",
"opt_B": "600 H^+ ions",
"opt_C": "150 H^+ ions",
"opt_D": "450 H^+ ions",
"opt_E": "302 H^+ ions",
"opt_F": "350 H^+ ... |
"Problem Statement:\nConsider a straight wire of radius r_0 oriented along the Z-axis carrying a steady current I. Determine the total power entering a unit length of wire." | {
"stem_1393": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "IR^2/π",
"opt_B": "0.5I/R",
"opt_C": "I^2R^2",
"opt_D": "I/R^2",
"opt_E": "I^2R",
"opt_F": "πI^2r_0^2",
"opt_G": "2πI/r_0",
... |
"Problem Statement:\nCalculate the diameter of a clean iron pipe of length 10,000 ft., through which oil is flowing at 8.93cfs. The head lossin the pipe is 75 ft lb/lb. Assumev = 0.0001 ft^2/s and\\epsilon = 0.00015 ft." | {
"stem_1394": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "17.5 in.",
"opt_B": "20.1 in.",
"opt_C": "13.5 in.",
"opt_D": "18.2 in.",
"opt_E": "21.6 in.",
"opt_F": "16.6 in.",
"opt_G": "... |
"Problem Statement:\nA liquid at 90°F is flowing at a rate of 40 gal/min through a horizontalpipe line of constant diameter 1.61 in. The pipe length is 50 ft. The system con-tains two 90° standard elbows, two valves and a tee joint across the flow. The density and viscosity of the fluid flowing at 90°F are 53lb_m/ft an... | {
"stem_1395": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Pressure loss: - 2.75lb_f/in^2 (gate valve), - 5.00lb_f/in^2 (globe valve)",
"opt_B": "Pressure loss: - 2.54lb_f/in^2 (gate valve), - 5.52lb_f/in^2 (globe v... |
"Problem Statement:\nA silicious rock contains the mineral ZnS. To analyze for Zn, a sample of the rock is pulverized and treated with HCl to dissolve the ZnS (silicious matter is insoluable). Zinc is precipitated from solution by the addition of potassium ferrocyanide K_4 Fe (CN)_6. After filtering, the precipitate is... | {
"stem_1396": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 % Zn",
"opt_B": "22 % Zn",
"opt_C": "20 % Zn",
"opt_D": "19 % Zn",
"opt_E": "15 % Zn",
"opt_F": "18 % Zn",
"opt_G": "16 % Z... |
"Problem Statement:\nDetermine the equilibrium constant for the reaction H_2 +I_2 \\rightleftarrows2HI the equilibrium concentrations are: H_2 , 0.9 moles/liter; I_2 , 0.4 mole/liter; HI, 0.6 mole/liter." | {
"stem_1397": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.9",
"opt_B": "1.0",
"opt_C": "2.5",
"opt_D": "0.3",
"opt_E": "0.5",
"opt_F": "1.5",
"opt_G": "1.8",
"opt_H": "1.2",
... |
"Problem Statement:\nMedium 1 has k_1 = 1.5 and extends to the left of theyz plane. Medium 2 hask_2= 2.5 and extends to the right of the yzplane. E_1 = (x̂2 - \\^{y}3 + ẑ) Vm^-1 FindD_1,E_2, andD_2." | {
"stem_1398": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E_1 = x̂_1 - \\^{y}_2 + ẑ, E_2 = x̂0.6 - \\^{y}2 + ẑ, D_1 =\\epsilon_0(x̂1.5 - \\^{y}3 + ẑ1), D_2 = \\epsilon_0(x̂1.5 - \\^{y}5 + ẑ1.25)",
"opt_B": "E_1 = x... |
"Problem Statement:\n10 cc of battery acid (density 1.21) is diluted to 100 cc. 30 cc of the dilute solution is neutralized by 45 cc of 0.5 N base. What is the normality of the diluted acid? What is its strength in grams per liter? What is the strength of the undiluted 1.21 density acid in g/l?" | {
"stem_1399": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.75 N, 121 g/l, 1210 g/l",
"opt_B": "0.65 N, 117 g/l, 1215 g/l",
"opt_C": "0.55 N, 116 g/l, 1195 g/l",
"opt_D": "0.8 N, 124 g/l, 1225 g/l",
... |
"Problem Statement:\nCompute the surface area required in a heat exchanger to cool the fluid from 177°C to 77°C, carrying heat at the rate of 100W/K. The heat exchanger gains solar energy by irra-diation at the rate of 100W/m^2. Assume the value of trans-fer factor f as 0.9." | {
"stem_1400": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.05m^2",
"opt_B": "6.89m^2",
"opt_C": "14.21m^2",
"opt_D": "9.54m^2",
"opt_E": "10.23m^2",
"opt_F": "5.67m^2",
"opt_G": "8.7... |
"Problem Statement:\nSteam condenses on the outside of a pipe, while cool wa-ter flowsinside it. The bulk mean water temperature is 65°F, andthe water side coefficient of heat transfer is 300 Btu/hr-ft^2-°F.The steam is at a pressure of 3 in. Hg abs., andthe steam side coefficient of heat transfer is 1,500 Btu/hr-ft^2-... | {
"stem_1401": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 lbm/hr-ft",
"opt_B": "3.5 lbm/hr-ft",
"opt_C": "2.11lbm/hr-ft",
"opt_D": "3lbm/hr-ft",
"opt_E": "0.75 lbm/hr-ft",
"opt_F": "1.25 l... |
"Problem Statement:\nFind the pH of a solution in which [H^+] = 6.38 × 10^-6 mole/liter." | {
"stem_1402": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.195",
"opt_B": "5.195",
"opt_C": "5.5",
"opt_D": "6.8",
"opt_E": "1",
"opt_F": "4.8",
"opt_G": "7",
"opt_H": "6.38",
... |
"Problem Statement:\nAn SCR has half cycle surge current rating of 3000 A for 50 Hz supply. One cycle surge current will be" | {
"stem_1403": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2121.32 A.",
"opt_B": "6000 A.",
"opt_C": "2000 A.",
"opt_D": "7000 A.",
"opt_E": "5000 A.",
"opt_F": "3500 A.",
"opt_G": "150... |
"Problem Statement:\nA long cylindrical log of specific gravity (2/3) will float in water with its axis horizontal. As its length gradually is reduced it will float in the same position. If its length is reduced so that it is only a fraction of its diameter, it will float with its axis vertical. What is its diairieter-... | {
"stem_1404": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.5",
"opt_B": "2.5",
"opt_C": "1.33",
"opt_D": "0.8",
"opt_E": "2.0",
"opt_F": "0.5",
"opt_G": "1.1",
"opt_H": "1.75",
... |
"Problem Statement:\nCompute the regulation and efficiency at full load, 80 power factor, lagging current, of the 15-kva, 2,400: 240-volt, 60 - distribution transformer to which the following data apply. (Subscript H means high-voltage, subscript X means low-voltage winding. Short-circuit test Open-circuit test V_H = 7... | {
"stem_1405": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.9801, 5.09%",
"opt_B": "0.9604, 7.12%",
"opt_C": "0.9505, 4.07%",
"opt_D": "0.8899, 5.55%",
"opt_E": "0.9007, 2.05%",
"opt_F": "0.... |
"Problem Statement:\nDetermine those values of s for which the improper integral G(s) = ^\\infty\\int0e^-st dt converges, and find the Laplace transform of f(t) = 1." | {
"stem_1406": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "G(s) diverges for all values of s",
"opt_B": "G(s) converges for all values of s",
"opt_C": "G(s) converges to (1 / s) for Re{s) > 0 and diverges othe... |
"Problem Statement:\nA submarine-launched missile, 1 m diameter by 5 m long, is to be studied in a water tunnel to determine the loads acting on it during its underwater launch. The maximum speed during this initial part of the missile's flight is 10 m s^-1. Calculate the mean water tunnel flow velocity if a 1/20 scale... | {
"stem_1409": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "300 m s^-1",
"opt_B": "60 m s^-1",
"opt_C": "500 m s^-1",
"opt_D": "150 m s^-1",
"opt_E": "200 m s^-1",
"opt_F": "100 m s^-1",
... |
"Problem Statement:\nIn a given chemical compound, there is a bond between \"A\" and \"B\". Theelectronegativitiesofthe involved elements are , respectively, 1.2 and 2.1 What is the probable nature of the bond between \"A\" and \"B\"?" | {
"stem_1410": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Polar bond",
"opt_B": "Dipole-dipole bond",
"opt_C": "Ionic bond",
"opt_D": "Covalent bond",
"opt_E": "Hydrogen bond",
"opt_F": "Met... |
"Problem Statement:\nA line amplifier of bandwidth 22 kHz has an input source resistanceof 750\\Omega at a standard noise temperature of 290°K.If the input and outputimpedencesof the amplifier are750\\Omega each, determine the effective input source noise power, expressed indbm." | {
"stem_1411": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 122.81 dbm",
"opt_B": "- 132.45 dbm",
"opt_C": "- 120.75dbm",
"opt_D": "- 124.53dbm",
"opt_E": "- 118.99 dbm",
"opt_F": "- 130.22d... |
"Problem Statement:\nThe analysis of a sample of soil weighing 0.4210 g yields a mixture ofKClandNaClweighing 0.0699 g. From theKCl, 0.060 gAgClis precipitated out. Calculate the percent of KCl in the soil." | {
"stem_1412": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10.5 %",
"opt_B": "5.3 %",
"opt_C": "7.41 %",
"opt_D": "8.9 %",
"opt_E": "11.2 %",
"opt_F": "6.5 %",
"opt_G": "7.85 %",
... |
"Problem Statement:\nLet $w$ be the variable defined as the number of heads that show when two coins are tossed simultaneously. Find $\\langle w\\rangle$." | {
"stem_1413": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.25",
"opt_B": "1",
"opt_C": "3",
"opt_D": "0",
"opt_E": "2.5",
"opt_F": "2",
"opt_G": "1.25",
"opt_H": "1.5",
"o... |
"Problem Statement:\nEvaluate the inverse Laplace transform of F(s) if F(s) = [(2s + 4) / (s^2 + 2s + 5)]. Write a generalized Laplace transform pair which can be added to a transform table to transform func-tions of this type." | {
"stem_1414": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "f(t) = 2e^-tcos2t + e^-t sin 3t",
"opt_B": "f(t) = e^-tcos2t + 2e^-t sin 2t",
"opt_C": "f(t) = 3e^-tcos2t + 2e^-t sin 2t",
"opt_D": "f(t) = 2e^-... |
"Problem Statement:\nH_2(g) + 2AgCl (s) + 2H_2O \\rightarrow 2Ag(s) + 2H_3O^+(Ag) + 2Cl^-(Ag). It has been determined that at 25°C the standard free energy of forma-tion of AgCl(s) is -109.7 kJ/mole, that of H_2O(l) is -237.2 kJ / mole, and that of (H_3O^+ + Cl^-) (ag) is - 368.4 KJ / mole. Now assuming the reaction is... | {
"stem_1415": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".236v",
"opt_B": "0.500v",
"opt_C": "1.00v",
"opt_D": "0.750v",
"opt_E": ".223v",
"opt_F": ".459v",
"opt_G": "0.125v",
"... |
"Problem Statement:\nA chemist has a piece of foil that is approximately 5 × 10^4 atoms thick. If an alpha particle must come within 10^-12 cm of a nucleus for deflection to occur, what is the probability that an alpha particle will be deflected, assuming the nuclei are not directly behind one another? Assume that the ... | {
"stem_1416": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 in 7500",
"opt_B": "1 in 3000",
"opt_C": "1 in 10,000",
"opt_D": "1 in 1000",
"opt_E": "1 in 5000",
"opt_F": "1 in 1250",
"o... |
"Problem Statement:\nIn the commercial preparation of hydrogen chloride gas, what weight of HCL in grams may be obtained by heating 234 g. of NaCL with excess H_2 SO_4 ? The balanced equation for the reaction is 2NaCL + H_2 SO_4 \\rightarrow Na_2 SO_4 + 2HCL Molecular weights:NaCL = 58.5, HCL = 36.5." | {
"stem_1417": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "76 g HCL",
"opt_B": "156 g HCL",
"opt_C": "106 g HCL",
"opt_D": "146 g HCL",
"opt_E": "96 g HCL",
"opt_F": "166 g HCL",
"opt_G... |
"Problem Statement:\nA container with an air tight piston is at a pressure of 100psiaand a temperature of 70°F. The piston moves up when 100 Btu of heat is transferred and the volume changes from 0.5 ft^3 to 2.0 ft^3. Assuming perfect gas behavior, calculate a) the change in internal energy, b) the final temperature an... | {
"stem_1418": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Change in internal energy: 80 Btu, Final temperature: 2000°F, Heat capacity: 0.20 Btu/°R",
"opt_B": "Change in internal energy: 95 Btu, Final temperature: 1... |
"Problem Statement:\nEvaluate the series\n$$\nS=\\frac{1}{2}+\\frac{1}{4}+\\frac{1}{8}+\\frac{1}{16}+\\cdots\n$$\n" | {
"stem_1419": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.5",
"opt_B": "2.5",
"opt_C": "1.25",
"opt_D": "1.5",
"opt_E": "4",
"opt_F": "0.75",
"opt_G": "3",
"opt_H": "0.25",
... |
"Problem Statement:\nAir flowing through a nozzle encounters a shock. The Mach number upstream of the shock isM_x= 1.8, and the static temperature downstream of the shock is T_y = 800°R. How much has the velocity changed across the shock ? Assume \\gamma = 1.4." | {
"stem_1420": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1300 ft/sec",
"opt_B": "1230 ft/sec",
"opt_C": "950 ft/sec",
"opt_D": "1160 ft/sec",
"opt_E": "1050 ft/sec",
"opt_F": "1200 ft/sec",... |
"Problem Statement:\nA chemist discovered a new compound and wished to determine its molecular weight. He placed 2.00 grams of the unknown compound in 10 grams of water and found that the normal freezing point of the water was depressed to-1.22°C. What is the molecular weight of the new compound?" | {
"stem_1421": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "400 g/mole",
"opt_B": "250 g/mole",
"opt_C": "305 g/mole",
"opt_D": "500 g/mole",
"opt_E": "325 g/mole",
"opt_F": "275 g/mole",
... |
"Problem Statement:\nThe density of a gaseous compound was found to be $1.23 \\mathrm{kg} \\mathrm{m}^{-3}$ at $330 \\mathrm{K}$ and $20 \\mathrm{kPa}$. What is the molar mass of the compound?" | {
"stem_1422": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "169 $\\mathrm{g} \\mathrm{mol}^{-1}$",
"opt_B": "123 $\\mathrm{g} \\mathrm{mol}^{-1}$",
"opt_C": "200 $\\mathrm{g} \\mathrm{mol}^{-1}$",
"opt_D"... |
"Problem Statement:\nA 6 in. I.D. and 6.5 O.D. stainless steel (k = 26 Btu/hr-ft-°F) pipe is insulated with a 3.5 in. thick layer of an insulating material (k = 0.04 Btu/hr-ft °F). If the inner surface of the pipe is at 500°F and the outer surface of insulation is at 150°F, determine the rate of heat loss per foot leng... | {
"stem_1423": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "130.28 Btu/hr- (ft. length of pipe), 497.88°F",
"opt_B": "100.28 Btu/hr- (ft. length of pipe), 500.88°F",
"opt_C": "140.28 Btu/hr- (ft. length of pipe... |
"Problem Statement:\nThe metal beaker of a dew-point apparatus is gradually cooled from room temperature, 75°F. When the beaker temperature reaches 60°F, the moisture of the room air starts condensing on it. Assuming the room air to be at 14.7 psia, determine (a) the partial pressure of vapor, and (b) the parts by mass... | {
"stem_1424": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.1987psia, 0.01489",
"opt_B": "0.2563psia, 0.01089",
"opt_C": "0.2890psia, 0.01123",
"opt_D": "0.2756psia, 0.00987",
"opt_E": "0.3125psia... |
"Problem Statement:\nSuggest a reason for the fact that ultraviolet light causes Cl_2 (gas) to cleavehomolytically, to produce two chlorine radicals, rather thanheterolytically, to produceCl^+ andCl^-." | {
"stem_1425": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The Cl-Cl bond is nonpolar, making heterolysis less favorable",
"opt_B": "Ultraviolet light induces a change in the chlorine molecule's geometric structure,... |
"Problem Statement:\nA sample of a gas exhibiting ideal behavior occupies a volume of 350 ml at 25.0°C and 600 torr. Determine its volume at 600°C and 25.0 torr." | {
"stem_1426": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "600 l",
"opt_B": "873.15 ml",
"opt_C": "14.6 l",
"opt_D": "8.7315 l",
"opt_E": "350 ml",
"opt_F": "700 ml",
"opt_G": "2.46 l",... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. The standard enthalpy of decomposition of the yellow complex $\\mathrm{H}_3 \\mathrm{NSO}_2$ into $\\mathrm{NH}_3$ and $\\mathrm{SO}_2$ is $+40 \\mathrm{~kJ} \\mathrm{~mol}^{-1}$. Cal... | {
"stem_1427": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$-350$$\\mathrm{kJ} \\mathrm{~mol}^{-1}$",
"opt_B": "$-420$$\\mathrm{kJ} \\mathrm{~mol}^{-1}$",
"opt_C": "$-400$$\\mathrm{kJ} \\mathrm{~mol}^{-1}$",
... |
"Problem Statement:\nThe discovery of the element argon by Lord Rayleigh and Sir William Ramsay had its origins in Rayleigh's measurements of the density of nitrogen with an eye toward accurate determination of its molar mass. Rayleigh prepared some samples of nitrogen by chemical reaction of nitrogencontaining compoun... | {
"stem_1428": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.022",
"opt_B": "0.011",
"opt_C": "0.003",
"opt_D": "0.030",
"opt_E": "0.008",
"opt_F": "0.025",
"opt_G": "0.040",
"opt... |
"Problem Statement:\nCalculate ∆H for the reaction at 25°C. CO(g) + (1/2)O_2 (g) \\rightarrow CO_2 (g)∆E = - 67.4Kcal." | {
"stem_1429": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 0.3 Kcal",
"opt_B": "0 Kcal",
"opt_C": "- 67.7 Kcal",
"opt_D": "67.7 Kcal",
"opt_E": "- 33.7 Kcal",
"opt_F": "67.4 Kcal",
"o... |
"Problem Statement:\n\"Hard\" water contains small amounts of the salts calcium bicarbonate (Ca(HCO_3)_2) and calcium sulfate (CaSO_4, molecular weight = 136 g/mole). These react with soap before it has a chance to lather, which is responsible for its cleansing ability. Ca(HCO_3)_2 is removed by boiling to form insolub... | {
"stem_1430": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8 tons",
"opt_B": "35 tons",
"opt_C": "25 tons",
"opt_D": "12 tons",
"opt_E": "50 tons",
"opt_F": "30 tons",
"opt_G": "15 tons... |
"Problem Statement:\nA coil that has a resistance of 0.05 ohms is connected to a cellthat develops anemfof 1.5 volts. Find the current flowingif the internal resistance of the cell is (a) 0.1ohm,and (b) 0.01 ohm." | {
"stem_1431": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 7.5 amp, (b) 50 amp",
"opt_B": "(a) 14 amp, (b) 28 amp",
"opt_C": "(a) 12 amp, (b) 24 amp",
"opt_D": "(a) 20 amp, (b) 5 amp",
"opt_E":... |
"Problem Statement:\nA steel cylinder contains liquid at a mean bulk temperature of80°F. Steam condensing at 212°F on the outside surface isused for heating the liquid. The coefficient of heat transfer onthe steam side is 1,000 Btu/hr-ft^2-°F. The liquid is agitatedby the stirring action of a turbine impeller. Its diam... | {
"stem_1432": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.75 hr",
"opt_B": "2.25 hr",
"opt_C": "2.35 hr",
"opt_D": "2.50 hr",
"opt_E": "1.67 hr",
"opt_F": "1.92 hr",
"opt_G": "2.05 h... |
"Problem Statement:\nA certain load to be driven at 1750 r/min requires a torque of 60 lb. ft. What horsepower will be required to drive the load ?" | {
"stem_1433": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15 hp",
"opt_B": "20 hp",
"opt_C": "10 hp",
"opt_D": "35 hp",
"opt_E": "5 hp",
"opt_F": "50 hp",
"opt_G": "30 hp",
"opt_... |
"Problem Statement:\nDetermine the molar weight of 3.85 grams of a protein dissolved in 250 ml solvent whose Osmotic pressure is 10.4 mm Hg at 30°C." | {
"stem_1434": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "27900 g/mol",
"opt_B": "15200 g/mol",
"opt_C": "22000 g/mol",
"opt_D": "36000 g/mol",
"opt_E": "40000 g/mol",
"opt_F": "21000 g/mol"... |
"Problem Statement:\nA model of an airplane built scale is to be tested in a wind tunnel which operates at a pressure of 20 atmospheres. The airplane is expected to fly at a speed of 500 km/h. At what speed should the wind tunnel operate to give dynamic similarity between model and prototype. The drag measured on the m... | {
"stem_1435": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "220 km/hr and 1000 kW",
"opt_B": "240 km/hr and 950 kW",
"opt_C": "275 km/hr and 975 kW",
"opt_D": "260 km/hr and 900 kW",
"opt_E": "310 k... |
"Problem Statement:\nIn an industrial process, nitrogen is heated to $500 \\mathrm{~K}$ at a constant volume of $1.000 \\mathrm{~m}^3$. The gas enters the container at $300 \\mathrm{~K}$ and $100 \\mathrm{~atm}$. The mass of the gas is $92.4 \\mathrm{~kg}$. Use the van der Waals equation to determine the approximate pr... | {
"stem_1436": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "200 atm",
"opt_B": "100 atm",
"opt_C": "80 atm",
"opt_D": "180 $\\mathrm{~atm}$",
"opt_E": "220 atm",
"opt_F": "140 $\\mathrm{~atm}$... |
"Problem Statement:\nLet F= kr^nr̂ Evaluate \\int\\int_sF\\bullet n̂dsand \\int\\int_sF× n̂ds wheres is a sphere of radius a centered at the origin." | {
"stem_1437": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2\\pi k a^n+3, -1",
"opt_B": "4\\pi k a^n+2, 0",
"opt_C": "2\\pi k a^n+2, 0",
"opt_D": "6\\pi k a^n+2, \\pi",
"opt_E": "3\\pi k a^n+1, \\p... |
"Problem Statement:\nWhat is the name of the fluorescent material that gives red colour fluorescence?" | {
"stem_1438": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Zinc silicate.",
"opt_B": "Calcium sulphide.",
"opt_C": "Zinc oxide.",
"opt_D": "Zinc sulphide.",
"opt_E": "Calcium silicate.",
"opt... |
"Problem Statement:\nFor the reaction Cd(Hg) + Hg_2SO_4(s) + (8/3)H_2O \\rightleftarrows CdSO_4 \\bullet (8/3)H_2O(s) + 3Hg(l) the voltage as a function of temperature is given by \\epsilon = 1.01845 - (4.1 × 10^-5)(\\texttheta - 20) - (9.5 × 10^-7)(\\texttheta - 20)^2 where \\texttheta is the temperature in °C. Calcul... | {
"stem_1440": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 2.05J / K",
"opt_B": "- 7.91J / K",
"opt_C": "0.48J / K",
"opt_D": "- 13.87J / K",
"opt_E": "- 9.74J / K",
"opt_F": "5.87J / K",
... |
"Problem Statement:\nIf 40 liters of N_2 gas are collected at 22°C over water at a pressure of .957 atm, what is the volume of dry nitrogen at STP (Standard temperature and pressure)?" | {
"stem_1441": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "32.8 liters",
"opt_B": "34.4 liters",
"opt_C": "42.1 liters",
"opt_D": "40 liters",
"opt_E": "35.7 liters",
"opt_F": "30.5 liters",
... |
"Problem Statement:\nA certain submerged body is to move horizontally through oil (\\gamma = 52 lb/ft^3, \\mu = 0.0006lb\\bullets/ft^2) at a velocity of 45 fps. To studythe characteristics of this motion, an enlarged model of thebody is tested in 60°F water. The model ratio \\lambda is8 :1. Determine the velocity at wh... | {
"stem_1442": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.322 fps, 380 lb",
"opt_B": "0.161 fps, 580 lb",
"opt_C": "0.322 fps, 465 lb",
"opt_D": "0.213 fps, 580 lb",
"opt_E": "0.565 fps, 380 lb"... |
"Problem Statement:\nIn a dc machine 6 pole wave winding is used. The number of parallel paths are?" | {
"stem_1443": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2",
"opt_B": "8",
"opt_C": "7",
"opt_D": "12",
"opt_E": "3",
"opt_F": "6",
"opt_G": "5",
"opt_H": "10",
"opt_I": "... |
"Problem Statement:\nA two-winding transformer is rated 2.2 kva, 220/110 volts, 60 cycles per second. Winding A is the 220-volt winding and has an impedance of 0.24 + j0.40 ohms. Winding B is the 110-volt winding and has an impedance of 0.05 + j0.09 ohms. The core loss is 28 watts for rated voltage and frequency. The t... | {
"stem_1444": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 0.019, (b) 0.987",
"opt_B": "(a) 0.009, (b) 0.981",
"opt_C": "(a) 0.020, (b) 0.985",
"opt_D": "(a) 0.015, (b) 0.982",
"opt_E": "(a) 0.... |
"Problem Statement:\nThe mean ionic activity coefficient of an electrolyte in a dilute solution is given approximately by ln \\gamma_\\pm = - A\\surd(m) where m is the molality and A is a constant. Using the Gibbs-Duhem equation find the activity coefficient \\gamma_1 of the solvent in this dilute solution in terms of ... | {
"stem_1445": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\gamma_1 = e[{(Av^2) / (3n_1)} m^3/2]",
"opt_B": "\\gamma_1 = e[{(Av^2) / (2n_1)} m^3/2]",
"opt_C": "\\gamma_1 = e[{(Av) / (3n_1)} m^3/2]",
"op... |
"Problem Statement:\nFor the first order decomposition of azomethane at 600°K, it takes30 minutes for the original concentration to decrease tohalf its value. After 60.0 minutes have elapsed, what percentageof the azomethane originally present remains?" | {
"stem_1446": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1/8",
"opt_B": "7/8",
"opt_C": "3/4",
"opt_D": "5/8",
"opt_E": "1/4",
"opt_F": "1/2",
"opt_G": "2/3",
"opt_H": "1/10",
... |
"Problem Statement:\nFor a single year, the motor vehicles in a large city produced a total of 9.1 × 10^6 kg of the poisonous gas carbon monoxide (CO) .How many moles of CO does this correspond to?" | {
"stem_1447": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.1 × 10^6 moles",
"opt_B": "5.0 × 10^7 moles",
"opt_C": "8.3 × 10^8 moles",
"opt_D": "4.5 × 10^8 moles",
"opt_E": "7.2 × 10^7 moles",
... |
"Problem Statement:\nIn a hydrogen bomb, deuterium nuclei fuse to produce a helium nucleus. In the process, 5MeV of energy is re-leased per deuterium. If, 1/7000 of natural H is D, how many liters of gasoline (C_8H_18) are needed to be burned to produce the same amount of energy as derived from 1 liter of water. Assume... | {
"stem_1448": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50 liters of gasoline",
"opt_B": "500 liters of gasoline",
"opt_C": "400 liters of gasoline",
"opt_D": "150 liters of gasoline",
"opt_E": ... |
"Problem Statement:\nIf you mix 50ml of 5.0 × 10-^4 M Ca(NO_3)_2 and 50ml of 2.0 × 10-^4 M NaF to give 100ml of solution, will precipitation occur? The K_sp of CaF_2 is 1.7 × 10-^10 ." | {
"stem_1449": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The mixture is saturated",
"opt_B": "Precipitation will occur only under high-pressure conditions",
"opt_C": "Precipitation will occur",
"opt_D"... |
"Problem Statement:\n10.0 grams of urea, CO(NH_2)_2, is dissolved in 200 grams of water. What are the boiling and freezing points of the resulting solution?" | {
"stem_1450": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Boiling point is 101.00°C, Freezing point is 1.55°C",
"opt_B": "Boiling point is 101.00°C, Freezing point is -2.00°C",
"opt_C": "Boiling point is 99.5... |
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