state unknown | questions unknown |
|---|---|
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Consider a system consisting of $2.0 \\mathrm{~mol} \\mathrm{CO}_2(\\mathrm{~g})$, initially at $25^{\\circ} \\mathrm{C}$ and $10 \\mathrm{~atm}$ and confined to a cylinder of cross-section $10.0 \\mathrm{~cm... | {
"stem_1451": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-30$\\text{J}$",
"opt_B": "-60 J",
"opt_C": "10 J",
"opt_D": "-40$\\text{J}$",
"opt_E": "0 J",
"opt_F": "-20$\\text{J}$ ",
"op... |
"Problem Statement:\nAir is flowing perpendicularly to a pipe, transferring heat by forced convection. The pipe has a diameter 4 in. and a surface temperature of 90°F. The cooling air with flow velocity of 15 ft/sec, has a bulk temperature of 75°F. Calculate the rate of heat transfer per unit length of pipe." | {
"stem_1452": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "78 Btu/hr-ft",
"opt_B": "80 Btu/hr-ft",
"opt_C": "71 Btu/hr-ft",
"opt_D": "65 Btu/hr-ft",
"opt_E": "60 Btu/hr-ft",
"opt_F": "92 Btu/... |
"Problem Statement:\nOn the basis of valence, predict the formulas of the compounds formed between the following pairs of elements: (a)Snand F. (b) P and H. (c) Si and O." | {
"stem_1453": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "SnF_4, PH_3, Si_2O_5",
"opt_B": "SnF_5, PH_3, SiO_3",
"opt_C": "SnF, PH_4, SiO",
"opt_D": "SnF_2, PH_2, SiO",
"opt_E": "SnF_6, PH_3, SiO_2... |
"Problem Statement:\nCalculate the absolute pressure for a system, given a gauge pressure of 1.5MPaand a barometric pressure (atmospheric pressure) of 104kPa." | {
"stem_1454": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1504kPa",
"opt_B": "1.5MPa",
"opt_C": "1.604MPa",
"opt_D": "1.4MPa",
"opt_E": "604kPa",
"opt_F": "2.104MPa",
"opt_G": "104kPa"... |
"Problem Statement:\nThe van der Waal equation is a modification of the ideal gas equation. It reads [P + (an^2 / V^2)] (V - nb) = nRT where P = pressure, V = volume, n = number of moles, R = gas constant, T = absolute temperature, and (a) and (b) are constants for a particular gas. The term an^2 /V^2 corrects the pres... | {
"stem_1455": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "more ideal, less ideal, more ideal",
"opt_B": "less ideal, more ideal, less ideal",
"opt_C": "more ideal, less ideal, less ideal",
"opt_D": "clo... |
"Problem Statement:\nMost transition metals share a common oxidation state of +2. Which of the following best explains why?" | {
"stem_1456": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Transition metals will gain their outermost s-block electrons when forming bonds.",
"opt_B": "Transition metals tend to gain electrons when reacting with ot... |
"Problem Statement:\nUse partial fraction expansion to find the inverse z-transform of F (z) = [{2z^2 - 2z} / {(z - 3) (z - 5)^2}]." | {
"stem_1457": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "f [n] = 4nu[n] + [(5/6)n - 1] 6^n u[n]",
"opt_B": "f [n] = 6nu[n] + [(2/3)n - 1] 3^n u[n]",
"opt_C": "f [n] = 3^(n+1)u[n] - 5^n u[n]",
"opt_D": ... |
"Problem Statement:\nA 50 V pulse is incident on a 30 ohm load in a line with characteristic resistance of 50 ohms. Find the following a) Incident Current Pulse, b) Reflection Coefficient, c) Reflected Voltage Pulse, d) Reflected Current Pulse, e) Net voltage and current at the load." | {
"stem_1458": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Incident Current Pulse: 1 Ampere, Reflection Coefficient: 0, Reflected Voltage Pulse: 0V, Reflected Current Pulse: 0 Amperes, Net voltage at the load: 50V, Net cu... |
"Problem Statement:\nThe number average and weight average molecular-weights are defined as M_n= [(\\sumN_i M_i) / (\\sumN_i)] = [1 / {\\sum(w_i/ M_i)}] and M_w = [(\\sumW_iM_i) / (\\sumW_i)] = [(\\sumN_i M^2_i) / (\\sumN_i M_i)] = \\sumw_iM_i respectively, where M_i = molecular weight of theithspecies N_i = moles of m... | {
"stem_1459": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "X_n= [(\\sumN_i X_i) / (\\sumN_i)], X_w= [(\\sumN_i X^2_i) / (\\sumN_i X_i)]",
"opt_B": "X_n= [(\\sumW_i X_i) / (\\sumW_i)], X_w= [(\\sumN_i X_i^3) / (\\sum... |
"Problem Statement:\nCalculate the mean free path for oxygen at 25°C at (a) 1atm pressure and (b) 10^-3torr." | {
"stem_1460": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.02 × 10^-8 m, 4.3 cm",
"opt_B": "6.02 × 10^-8 m, 6.3 cm",
"opt_C": "7.02 × 10^-7 m, 53 cm",
"opt_D": "7.02 × 10^-8 m, 5.3 cm",
"opt_E": ... |
"Problem Statement:\nA test charge q C, moving with a velocityv= (i_x +i_y) m/sec, experiences no force in a region of electric and magnetic fields. If the magnetic flux density B= (i_x - 2i_z)Wb/m^2, findE." | {
"stem_1461": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(i_z - 2i_y) volts/m",
"opt_B": "(-i_x + i_y) volts/m",
"opt_C": "(3i_x - i_y - 2i_z) volts/m",
"opt_D": "(2ix - 2i_y +i_z) volts/m",
"opt... |
"Problem Statement:\nA vessel with a frictionless piston contains 1 ft^3 of a gas at 200psia.The piston is held in position by applying an externalforce. Calculate the amount of work done if: a) This external force is released gradually until the volume isdoubled in such a way that PV is always a constant. b) If the ex... | {
"stem_1462": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "19,930(ft-lb_f), 14,400(ft-lb_f)",
"opt_B": "10,000(ft-lb_f), 7,000(ft-lb_f)",
"opt_C": "17,500(ft-lb_f), 12,250(ft-lb_f)",
"opt_D": "18,000(ft-... |
"Problem Statement:\nIn an experiment to study heat transfer, a metal box 35 in. long, 10 in. wide, and 3 in. deep, is propelled at a velocity of 73.3 ft/sec. The box has a surface tempera-ture of T_s = 145°F while the ambient air temperature is T_\\infty = 35°F. Assume a turbulent boundary layer, and employ the same c... | {
"stem_1463": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6000 Btu/hr",
"opt_B": "5353 Btu/hr",
"opt_C": "5000 Btu/hr",
"opt_D": "4100 Btu/hr",
"opt_E": "3200 Btu/hr",
"opt_F": "2900 Btu/hr"... |
"Problem Statement:\nThe density of a gas is measured as 0.222 g/l at 20.0°C and 800 torr. What volume will 10.0 g of this gas occupy under standard conditions?" | {
"stem_1464": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100.10 l",
"opt_B": "22.08 l",
"opt_C": "55.20 l",
"opt_D": "88.3 l",
"opt_E": "66.22 l",
"opt_F": "60.00 l",
"opt_G": "50.05 ... |
"Problem Statement:\nElectrical analogous quantity for dash-pot in force-current analogy is" | {
"stem_1465": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "reactance.",
"opt_B": "admittance.",
"opt_C": "reluctance.",
"opt_D": "transconductance.",
"opt_E": "susceptance.",
"opt_F": "capaci... |
"Problem Statement:\nA pulley 8 in. in diameter rotates at 500 rpm and drives a 15 in. diameter pulley.Determine the speed of the driver pulleyfor a condition of no slip between the pulley and the beltand then for a total loss (slip and creep) of 2%." | {
"stem_1466": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "280 rpm",
"opt_B": "261.4 rpm",
"opt_C": "250 rpm",
"opt_D": "275 rpm",
"opt_E": "265 rpm",
"opt_F": "225 rpm",
"opt_G": "240 ... |
"Problem Statement:\nCheck these flows for continuity and determine thevorticity ofeach: (a)v_t= 6r,v_r= 0; (b)v_t= 0,v_r= - 5/r." | {
"stem_1467": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Flow (a) is rotational with a vorticity of 6, Flow (b) is rotational with a vorticity of -10",
"opt_B": "Both flows are rotational with vorticities of 6 and... |
"Problem Statement:\nThe conductivity of silver is g = 3 × 10^7 mhos/m at microwave frequencies. Find the skin depth at 10^10Hz. Also calculate the frequency at which skin depth in sea water is one meter." | {
"stem_1468": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Skin depth in silver = 11.2 × 10^-5 cm, Frequency in sea water = 98.6 × 10^3 Hz",
"opt_B": "Skin depth in silver = 8.2 × 10^-5 cm, Frequency in sea water = ... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. 3.1(a) Calculate the change in entropy when $25 \\mathrm{~kJ}$ of energy is transferred reversibly and isothermally as heat to a large block of iron at $100^{\\circ} \\mathrm{C}$." | {
"stem_1469": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "55 $\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_B": "72 $\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_C": "45 $\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_D": "62 $\\... |
"Problem Statement:\nThe molar heat of vaporization of water is +43.9 kJ. What is the entropy change for the vaporization of water?" | {
"stem_1470": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "16.2 J mol-1 K-1",
"opt_B": "2.78 J mol-1 K-1",
"opt_C": "22.1 J mol-1 K-1",
"opt_D": "35.0 J mol-1 K-1",
"opt_E": "8.49 J mol-1 K-1",
... |
"Problem Statement:\nWhat weight of sulfur must combine with aluminum to form 600 lbs of aluminum sulfide?" | {
"stem_1471": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "350 lbs. sulfur",
"opt_B": "320 lbs. sulfur",
"opt_C": "425 lbs. sulfur",
"opt_D": "400 lbs. sulfur",
"opt_E": "300 lbs. sulfur",
"o... |
"Problem Statement:\n$$\n\\text { If we locate an electron to within } 20 \\mathrm{pm} \\text {, then what is the uncertainty in its speed? }\n$$" | {
"stem_1472": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.1$10^6 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$",
"opt_B": "9.4$10^7 \\mathrm{~m} \\cdot \\mathrm{s}^{-1}$",
"opt_C": "6.2$10^7 \\mathrm{~m} \\cdot \\m... |
"Problem Statement:\nA solution of hydrogen peroxide is 30% by weight H_2O_2. Assuming a density of 1.11 g/cm^3 and a dissociation constant of 1.0 × 10^-12 for H_2O_2, what is the pH of the solution?" | {
"stem_1473": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.27",
"opt_B": "2.07",
"opt_C": "5.5",
"opt_D": "1.0 × 10^-12",
"opt_E": "9.79",
"opt_F": "3.13",
"opt_G": "7.45",
"opt... |
"Problem Statement:\nThe standard enthalpy of the hydrogenation ofpropenein the reaction CH_2: CH.CH_3 + H_2 \\rightarrow CH_3.CH_2.CH_3 is - 124 kJ mol^-1. The standard enthalpy of the oxidation of propane in the reaction CH_3.CH_2.CH_3 + 5O_2 \\rightarrow 3CO_2 + 4H_2O is - 2222 kJmol^-1. Find the standard enthalpy o... | {
"stem_1474": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 124 kJ mol^-1",
"opt_B": "+ 286 kJ mol^-1",
"opt_C": "- 2200 kJ mol^-1",
"opt_D": "- 2348 kJ mol^-1",
"opt_E": "- 2222 kJ mol^-1",
... |
"Problem Statement:\nIt is given that masses of a proton and an electron are equal to 1.00728 and 0.000549 u, respectively. A fluorine atom contains 9 protons and 9 electrons. What mass frac-tion of the fluorine atom is contained in the nucleus? De-termine the fraction of the atomic volume, where r = 0.64°A occupied by... | {
"stem_1475": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.994553, 2.9 ×10^-13",
"opt_B": "0.975321, 6.7 × 10^-13",
"opt_C": "1.007654, 3.2 × 10^-13",
"opt_D": "0.9994553, 2.4 ×10^-13",
"opt_E": ... |
"Problem Statement:\nThe daily protein intake of a typical American diet consists of meat, dairy products and eggs. Its average net protein utilization (NPU) is 70. If the daily protein requirement of the body is 0.3 g per pound of body weight, what is the actual protein requirement for an average American?" | {
"stem_1476": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 g of protein per day",
"opt_B": "70 g of protein per day",
"opt_C": "64.5 g of protein per day",
"opt_D": "0.43 g of protein per day",
... |
"Problem Statement:\nA chemist dropped a 200 g object into a tank of water. It displaced 60 ml. of the water when it sunk to the bottom of the tank. In a similar experiment, it displaced only 50 g of an oil into which it was dropped. Calculate the density of the object and the oil." | {
"stem_1477": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Density of the object is 3.33 g/ml and the oil is 0.83 g/ml",
"opt_B": "Density of the object is 4 g/ml and the oil is 0.9 g/ml",
"opt_C": "Density of... |
"Problem Statement:\nA sample of an ideal gas at 27°C and 380torroccupied a volume of 492 cm^3. What was the number of moles of gas in this sample? (R = 0.082 literatmmole^-1 deg^-1)." | {
"stem_1478": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".0150 moles",
"opt_B": ".0125 moles",
"opt_C": ".0300 moles",
"opt_D": ".0200 moles",
"opt_E": ".0075 moles",
"opt_F": ".0350 moles"... |
"Problem Statement:\n(a) You desire to plate 5g of Ag from a solution of Ag^+ . Determine the number of amperes required over a period of 1000 seconds. (b) With a current of 0.5 ampere, how much time is required to plate out 10g of gold from an Au^3+ solution?" | {
"stem_1479": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.50 amps and 32,000 seconds",
"opt_B": "4.45 amps and 29,400 seconds",
"opt_C": "4.75 amps and 28,500 seconds",
"opt_D": "2.95 amps and 33,000 ... |
"Problem Statement:\nOil is to be pumped at a rate of 1) 10 lb/sec, 2) 50 lb/sec through a horizontal pipe of 4 in.diaand 5280 ft length. Calculate the drop in pressure and the theoretical horse-power developed, if the oil density is 59.3 lb/ft^3 and the viscosity is 50 cp. For the case of turbulent flow, assume the Da... | {
"stem_1480": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "19.4 psi and 1.15 hp for 10 lb/sec, 370.2 psi and 82.1 hp for 50 lb/sec",
"opt_B": "18.5 psi and 1.1 hp for 10 lb/sec, 360.5 psi and 75.5 hp for 50 lb/sec",... |
"Problem Statement:\nA silver dollar weighs about 0.943 ounces. Express this weightin grams, in kilograms, and in milligrams." | {
"stem_1481": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "32.73 g, .03273 kg, 32,730 mg",
"opt_B": "31.73 g, .03173 kg, 31,730 mg",
"opt_C": "26.73 g, .02673 kg, 26,730 mg",
"opt_D": "24.73 g, .02473 kg... |
"Problem Statement:\nWhat is the pressure of carbon dioxide (CO_2) at 200°F and a specific volume of 0.20 ft^3/lbm?" | {
"stem_1482": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "750psia",
"opt_B": "850psia",
"opt_C": "900psia",
"opt_D": "650psia",
"opt_E": "500psia",
"opt_F": "700psia",
"opt_G": "800psi... |
"Problem Statement:\nCalculate the volume of O_2 necessary to burn 50 liters of CO completely. The balanced reaction is: 2CO + O_2 \\rightarrow 2CO_2 Also, calculate the volume of CO_2 formed." | {
"stem_1483": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "O_2 volume is 75 liters and CO_2 volume is 150 liters",
"opt_B": "O_2 volume is 50 liters and CO_2 volume is 75 liters",
"opt_C": "O_2 volume is 25 li... |
"Problem Statement:\nUse Laplace's equation to find the electric field between two concentricspherical shells of radius 0.5 m and 2.0 m. The innersphere is at a potential of 0 volts while the outer sphere isat a potential of 100 volts." | {
"stem_1484": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E = [(- 100) / r] r̂",
"opt_B": "E = [(- 100) / (3r^2)] r̂",
"opt_C": "E = [(- 200) / (2r^2)] r̂",
"opt_D": "E = [(- 200) / (3r^2)] r̂",
"... |
"Problem Statement:\nThe net ionic equation expected when solutions of NH4Br and AgNO3 are mixed together is" | {
"stem_1485": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Br-(aq) + NO3-(aq) → NO3Br(aq)",
"opt_B": "NH4+(aq) + NO3-(aq) → NH4NO3(aq)",
"opt_C": "NH4+(aq) + Br-(aq) → NH4Br(aq)",
"opt_D": "NH4Br(aq) + N... |
"Problem Statement:\nA potato peeling solution was found to be 2.56 M inNaOH (formula weight = 40.0 g/mole) at the end of the day. To operate, the solution must be at least 10 %NaOHby weight (100 gNaOHper 1000 g of solution) . What weight percent corresponds to 2.56 M? The density of a 2.56 M solution of NaOHis about 1... | {
"stem_1486": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "13.8 % by weight",
"opt_B": "11.2 % by weight",
"opt_C": "5.0 % by weight",
"opt_D": "6.5 % by weight",
"opt_E": "8.5 % by weight",
... |
"Problem Statement:\nA perfect gas undergoes isothermal compression, which reduces its volume by $2.20 \\mathrm{dm}^3$. The final pressure and volume of the gas are $5.04 \\mathrm{bar}$ and $4.65 \\mathrm{dm}^3$, respectively. Calculate the original pressure of the gas in bar." | {
"stem_1487": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.10 $\\mathrm{bar}$",
"opt_B": "3.85 $\\mathrm{bar}$",
"opt_C": "2.85 $\\mathrm{bar}$",
"opt_D": "3.42$ \\mathrm{bar}$",
"opt_E": "6.05 $... |
"Problem Statement:\nPower dissipation in ideal inductor is" | {
"stem_1488": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Negative",
"opt_B": "Maximum",
"opt_C": "Infinite",
"opt_D": "Minimum",
"opt_E": "Half of the total power",
"opt_F": "Dependent on t... |
"Problem Statement:\nThe vapor pressures of pure benzene and toluene at 60°C are 385 and 139Torr, respectively. Calculate (a) the partial pressures of benzene and toluene, (b) the total vapor pressure of the solution, and (c) the mole fraction of toluene in the vapor above a solution with 0.60 mole fraction toluene." | {
"stem_1491": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "P_benzene= 148.0Torr, P_toluene= 89.4Torr, P_total= 237.4Torr, X_toluene,vap= 0.377",
"opt_B": "P_benzene= 151.0Torr, P_toluene= 88.4Torr, P_total= 239.4Tor... |
"Problem Statement:\nWater at 340°K and a rate of 4 Kg/hr is required for a certain process. Water, available at 300°K, is to be heated as it passes through a 7mm ID pipe which provides 125 W per meter length of pipe. Determine the length of piping required and the maximum temperature at the exit." | {
"stem_1492": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Length of piping required is 2m and the maximum temperature at the exit is 360K",
"opt_B": "Length of piping required is 1.48m and the maximum temperature a... |
"Problem Statement:\nTo 1.0 liter of a 1.0M solution of glycine at the iso-electric pH is added 0.3 mole of HCl. What will be the pH of the resultant solution? What would be the pH if 0.3 mole of NaOH were added instead?" | {
"stem_1493": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.3 and 10.1",
"opt_B": "1.6 and 8.7",
"opt_C": "1.8 and 9.0",
"opt_D": "3.2 and 8.9",
"opt_E": "3.5 and 9.2",
"opt_F": "2.71 and 9.... |
"Problem Statement:\n0.1 moles of Cu(NO_3)_2 are added to 1.0molesof NH_3 and then diluted to 1000ml. Find the concentration of Cu^2+ formed. K_eq= 8.5 × 10^-13 ." | {
"stem_1494": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.5 × 10^-2 M",
"opt_B": "5.0 × 10^-2 M",
"opt_C": "1.0 M",
"opt_D": "8.5 × 10^-13 M",
"opt_E": "1.7 × 10^-13 M",
"opt_F": "0.05 M",... |
"Problem Statement:\nFor the cell Pt/Ag(s)/Ag Br(s)/Br^-(a = .34)/Br_2(1atm)/Pt solve for the value of E° and determine the spontaneity of the reaction. It is given that the half-cell elec-trode potentials are 0.071 forAgBr/Ag and 1.065 for B_2/Br^-" | {
"stem_1495": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.071, spontaneous",
"opt_B": "-0.994, spontaneous",
"opt_C": "-0.994, non-spontaneous",
"opt_D": "1.136, spontaneous",
"opt_E": "1.065, n... |
"Problem Statement:\nConsider the water dissociation reaction H_2O \\rightleftarrows H^+ + 0H^- in which the equilibrium is disturbed. It is found that the relaxation time for the return to equilibrium at 25°C is 37 \\mus. Calculate the rate coefficients for the forward and backward reactions." | {
"stem_1496": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "k_1 = 1.4 × 10^11 M^-1s^-1, k_2 = 2.5 × 10^-5 s^-1",
"opt_B": "k_1 = 1.5 × 10^-4 s^-1, k_2 = 8.5 × 10^10 M^-1s^-1",
"opt_C": "k_1 = 6.3 × 10^-5 s^-1, ... |
"Problem Statement:\nA bare steel wire (k = 13 Btu/hr ft°F) is carrying a current of 1000 amp. The diameter of the wire is 0.75 in. The air temperature is 70°F and the surface heat transfer coefficient is 5.0 Btu/hr ft^2 °F. The electrical resistance of the wire per foot length is 0.0001 ohm. Find the centerline temper... | {
"stem_1497": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "600°F",
"opt_B": "560°F",
"opt_C": "500°F",
"opt_D": "480°F",
"opt_E": "420°F",
"opt_F": "418°F",
"opt_G": "390°F",
"opt... |
"Problem Statement:\nTwo atoms of scandium are to combine with three atoms of oxygen. If you start with 1 gram of scandium, how much oxygen is required? Scandium has an atomic weight of 44.96 g/mole. The at. wt. of oxygen is 15.999 g/mole." | {
"stem_1498": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.400 g of oxygen",
"opt_B": "0.800 g of oxygen",
"opt_C": ".444 g of oxygen",
"opt_D": ".623 g of oxygen",
"opt_E": "0.711 g of oxygen",
... |
"Problem Statement:\nCalculate the volume of a cylinder which contains 60lbmof carbon dioxide at 230°F and 23 psig pressure. Assume atmospheric pressure to be 14.7psia." | {
"stem_1499": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "250 ft^3",
"opt_B": "290 ft^3",
"opt_C": "275 ft^3",
"opt_D": "238 ft^3",
"opt_E": "300 ft^3",
"opt_F": "268 ft^3",
"opt_G": "... |
"Problem Statement:\nA linear time-invariant resistor of 4\\Omega has a current through it given byi(t) = sin\\pit. If E(0) = 0, find the energy dissipated in the resistor at t = 1, 2, 3, 4, 5, 6 sec." | {
"stem_1501": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E(1) = 2.5J, E(2) = 5J, E(3) = 7.5J, E(4) = 10J, E(5) = 12.5J, E(6) = 15J",
"opt_B": "E(1) = 1.5J, E(2) = 3J, E(3) = 4.5J, E(4) = 6J, E(5) = 7.5J, E(6) = 9J... |
"Problem Statement:\nIf one increases the angle away from the Z axis, how does the wave function for a 2P_Z electron change?" | {
"stem_1502": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The wave function increases.",
"opt_B": "The wave function inverts in phase.",
"opt_C": "The wave function and the electron density for a 2P_Z electro... |
"Problem Statement:\nOil is flowing at an average velocity of 1.2 ft/s, through a pipe of(1/2) in. inside diameter and 100 ft long. Determine the pressuredrop over the length of tube if the inlet and exit lossesare neglected. Determine the pressure drop, if the tubeis of 1 in. inside diameter. For oil assume \\rho = 56... | {
"stem_1503": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1925lbf/ft^2 for 1/2 in. diameter, 481.3lbf/ft^2 for 1 in. diameter",
"opt_B": "1850lbf/ft^2 for 1/2 in. diameter, 462.5lbf/ft^2 for 1 in. diameter",
... |
"Problem Statement:\n(a) A 4-pole machine has lap winding with 36 winding elements. What are the back and front pitches of this winding, expressed in commutator bars? (b) A 4-pole machine has wave winding with 37 winding elements. What are the three pitches of this winding expressed in commutator bars?" | {
"stem_1504": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Back pitch for lap winding is 12, front pitch is 13. Back pitch for wave winding is 7, front pitch is 6 or 7.",
"opt_B": "Back pitch for lap winding is 9, f... |
"Problem Statement:\nUse the van der Waals parameters for chlorine to calculate approximate values of the radius of a $\\mathrm{Cl}_2$ molecule regarded as a sphere." | {
"stem_1505": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.185 $\\mathrm{nm}$",
"opt_B": "0.110 $\\mathrm{nm}$",
"opt_C": "0.125 $\\mathrm{nm}$",
"opt_D": "0.200 $\\mathrm{nm}$",
"opt_E": "0.095 ... |
"Problem Statement:\nNitrogen reacts with hydrogen to form ammonia (NH_3). The weight-percent of nitrogen in ammonia is 82.25. The atomic weight of hydrogen is 1.008. Calculate the atomic weight of nitrogen." | {
"stem_1506": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.01",
"opt_B": "12.01",
"opt_C": "20.01",
"opt_D": "17.01",
"opt_E": "16.01",
"opt_F": "13.01",
"opt_G": "15.01",
"opt... |
"Problem Statement:\nA turn of \\alpha-helix (3.6 residues) is 5,41 \\AA in length measured parallel to the helix axis. If your hair grows 6 in. per year, how many amino acid residues must be added to each \\alpha-helix in the keratin fiber per second?" | {
"stem_1507": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "42 res/sec",
"opt_B": "36 res/sec",
"opt_C": "26 res/sec",
"opt_D": "28 res/sec",
"opt_E": "24 res/sec",
"opt_F": "38 res/sec",
... |
"Problem Statement:\nWhat mass of calcium bromide CaBr_2, is needed to prepare 150 ml of a 3.5 M solution? (M.W. of CaBr_2 = 200.618 g/mole)" | {
"stem_1508": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "200.618 g of CaBr_2",
"opt_B": "175.54 g of CaBr_2",
"opt_C": "105.32 g of CaBr_2",
"opt_D": "50.154 g of CaBr_2",
"opt_E": "150 g of CaBr... |
"Problem Statement:\nAt 20 °C \\DeltaH for the reaction of one mole ofNaClwith suffi-cient water to give a solution containing 12%NaClby weight is 774.6 cal. At 25°C \\DeltaH for the same reaction is 700.8 cal. Calculate the heat capacity of the solution in cal/deg-g given the following: C_P of solidNaCl= 12 cal/deg-mo... | {
"stem_1509": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.10 cal/deg-g",
"opt_B": "1.48 cal/deg-g",
"opt_C": "0.92 cal/deg-g",
"opt_D": "0.66 cal/deg-g",
"opt_E": "0.87 cal/deg-g",
"opt_F"... |
"Problem Statement:\nDetermine the drag force acting on a 10 ft × 100 ft smooth flatplate when it is pulled lengthwise on a still water surface witha velocity of 20 ft/s. Also calculate the drag force on the first10 ft length of the plate. For water \\rho = 62.4 lb/ft^3 ;ѵ = 1.08 × 10^-5 ft^2/s." | {
"stem_1510": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "880lb_f for the whole plate and 124lb_f for the first 10 ft",
"opt_B": "680lb_f for the whole plate and 96lb_f for the first 10 ft",
"opt_C": "720lb_f... |
"Problem Statement:\nA sinusoidal voltage having a frequency of 1 MHz and a peak value of 10 volts is applied to the plates of a parallel plate capacitor which are 2 cm. apart. If an electron is released from one plate at an instant when the applied voltage is zero, find the position of the electron at any subsequent t... | {
"stem_1511": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.40 × 10^7t + 2.23 cos (2π × 10^6t) m",
"opt_B": "1.50 × 10^6t - 2.23 sin (2\\pi × 10^6t) m",
"opt_C": "1.40 × 10^7t - 2.23 sin (2\\pi × 10^6t) m",
... |
"Problem Statement:\nThe received signal at the end of a communication network is given by h(t) = 10 cos(10^6t + 200 sin500t). Determine a) the bandwidth (BW) of h(t); b) the modulating signal m(t) if h(t) is an FM signal c) m(t) if h(t) is a phase-modulated wave" | {
"stem_1512": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Bandwidth is approximately 10 kHz, modulating signal for FM is 2sin 500t, and for PM is 2cos 500t",
"opt_B": "Bandwidth is approximately 32 MHz, modulating ... |
"Problem Statement:\nEvaluate f(t) if F(s) = [(2s^2 + 13s + 17) / {(s + 1)(s + 3)}]" | {
"stem_1513": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2\\delta(t) + (3e^-t + e^-3t)u(t)",
"opt_B": "2\\delta(t) + (3e^-t + 2e^-3t)u(t)",
"opt_C": "3\\delta(t) + (3e^-t + 2e^-3t)u(t)",
"opt_D": "2 + ... |
"Problem Statement:\nSuppose a nanostructure is modelled by an electron confined to a rectangular region with sides of lengths $L_1=1.0 \\mathrm{~nm}$ and $L_2=2.0 \\mathrm{~nm}$ and is subjected to thermal motion with a typical energy equal to $k T$, where $k$ is Boltzmann's constant. How low should the temperature be... | {
"stem_1514": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.0 $10^2 \\mathrm{~K}$",
"opt_B": "5.5 $10^3 \\mathrm{~K}$",
"opt_C": "2.5 $10^3 \\mathrm{~K}$",
"opt_D": "7.0 $10^3 \\mathrm{~K}$",
"opt... |
"Problem Statement:\nCalculate the width of a silent chain of 1 in. pitch, which delivers 25 hp. The driving sprocket, having 25 teeth, rotates at 400 rpm. Chain Pitch, in. Allowable Tension lb/in. 3/8 75 1/2 100 5/8 125 3/4 150 1 205 1(1/4) 265 1(1/2) 335 2 600 Table 1 Load handling capacities of silent chains" | {
"stem_1515": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.0 in",
"opt_B": "3.25 in",
"opt_C": "5.75 in",
"opt_D": "5.2 in",
"opt_E": "6.0 in",
"opt_F": "3.75 in",
"opt_G": "2.5 in",
... |
"Problem Statement:\nAir is introduced through a nozzle into a tank of water to form astream of bubbles. If the bubbles are intended to have a diameterof 2 mm, calculate by how much the pressure of theair at the nozzle must exceed that of the surrounding water. Assume that \\sigma = 72.7 × 10^-3 N m^-1." | {
"stem_1516": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50 N m^-1",
"opt_B": "143.4 N m^-1",
"opt_C": "125.6 N m^-1",
"opt_D": "180 N m^-1",
"opt_E": "215.1 N m^-1",
"opt_F": "72.7 N m^-1"... |
"Problem Statement:\nAn angle-modulated signal v(t) is given as v(t) = A cos [\\omega_c t + 2cos60\\pit + 5cos40\\pit.] with carrier frequency f_c = (\\omega_c / 2\\pi) Hertz. (A) Find the maximum phase deviation in radians. (B) Att = (1 / 30) second, find the instantaneous frequency deviation in Hertz." | {
"stem_1517": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Maximum phase deviation is 3 radians and instantaneous frequency deviation is 120 Hertz",
"opt_B": "Maximum phase deviation is 5 radians and instantaneous f... |
"Problem Statement:\nA flat plate 1.5 ft long and 5 ft wide is placed in a stream of water flowing at a velocity of 45 ft/s, such that the flow of water is parallel to the 1.5 ft. side of the plate. Calculate: a) the boundary layer thickness at the trailing edge. b) the drag force acting on the plate if the laminar bou... | {
"stem_1518": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) 0.022 ft, b) 84 lb_f, c) 93 lb_f, d) 165 lb_f",
"opt_B": "a) 0.0257 ft, b) 89.56 lb_f, c) 97.1 lb_f, d) 173.7 lb_f",
"opt_C": "a) 0.028 ft, b) 92 l... |
"Problem Statement:\nUsing fundamental trends in electronegativity and bond strength, which of the following should be the strongest acid?" | {
"stem_1519": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H2Se",
"opt_B": "H2CO3",
"opt_C": "H2S",
"opt_D": "HBr",
"opt_E": "H2O",
"opt_F": "HF",
"opt_G": "HI",
"opt_H": "HCl",
... |
"Problem Statement:\nHow many electrons, neutrons, and protons are in an atom of 52Cr?" | {
"stem_1520": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "28 electrons, 27 protons, 24 neutrons",
"opt_B": "24 electrons, 24 protons, 27 neutrons",
"opt_C": "24 electrons, 24 protons, 24 neutrons",
"opt... |
"Problem Statement:\nHeating of NaNO_3 decomposed it to NaNO_2 and O_2. How much NaNO_3 would you have to decompose to produce 1.50 g of O_2 ?" | {
"stem_1521": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.45 g",
"opt_B": "10.34 g",
"opt_C": "5.00 g",
"opt_D": "11.67 g",
"opt_E": "6.58 g",
"opt_F": "14.29 g",
"opt_G": "9.21 g",
... |
"Problem Statement:\nExactly one mole of gaseous methane is oxidized at fixed volume and at 25°C according to the reaction CH_4(g) + 2O_2 (g) \\rightarrow CO_2(g) + 2H_2O(l). If 212 Kcal is liberated, what is the change in enthalpy, ∆H?" | {
"stem_1522": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 213 Kcal",
"opt_B": "298 K",
"opt_C": "- 1180 cal",
"opt_D": "+ 1180 cal",
"opt_E": "+ 212 Kcal",
"opt_F": "- 50 Kcal",
"opt... |
"Problem Statement:\nA PO3- radical produces a pair of lines separated by 280 MHz with giso = 2.005. Calculate the expected resonant field positions of both lines in the X-band EPR spectrum (ν = 9.5 GHz)." | {
"stem_1523": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Bres for mI = -½ = 325.0 mT; Bres for mI = +½ = 335.0 mT",
"opt_B": "Bres for mI = -½ = 400.0 mT; Bres for mI = +½ = 410.0 mT",
"opt_C": "Bres for mI ... |
"Problem Statement:\nGiven Zn \\rightarrow Zn^+2 + 2e^- with E° = + .763, calculate E for a Zn electrode in which Zn^+2 = .025M." | {
"stem_1524": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".765 V",
"opt_B": ".725 V",
"opt_C": ".790 V",
"opt_D": ".800 V",
"opt_E": ".770 V",
"opt_F": ".850 V",
"opt_G": ".810 V",
... |
"Problem Statement:\nAt 25°C, sucrose and water form an ideal solution and the solu-bility of sucrose in the water is 6.2molal. Calculate the heat of fusion of sucrose given that its molecular weight is 342, melting point is 200°C and the heat of fusion of water is 1400 cal/mole." | {
"stem_1525": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3650 cal = 3.65 kcal",
"opt_B": "3750 cal = 3.75 kcal",
"opt_C": "4000 cal = 4.0 kcal",
"opt_D": "4100 cal = 4.1 kcal",
"opt_E": "3200 cal... |
"Problem Statement:\nA sugar solution was prepared by dissolving 9.0 g of sugar in 500 g of water. At 27°C, the osmotic pressure was measured as 2.46 atm. Determine the molecular weight of the sugar." | {
"stem_1526": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "180 g/mole",
"opt_B": "342 g/mole",
"opt_C": "150 g/mole",
"opt_D": "210 g/mole",
"opt_E": "250 g/mole",
"opt_F": "300 g/mole",
... |
"Problem Statement:\nA mixture of water and ethanol is prepared with a mole fraction of water of 0.60 . If a small change in the mixture composition results in an increase in the chemical potential of water by $0.25 \\mathrm{~J} \\mathrm{~mol}^{-1}$, by how much will the chemical potential of ethanol change?" | {
"stem_1527": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.15 $\\mathrm{~J} \\mathrm{~mol}^{-1}$",
"opt_B": "-0.15 $\\mathrm{~J} \\mathrm{~mol}^{-1}$",
"opt_C": "0.60 $\\mathrm{~J} \\mathrm{~mol}^{-1}$",
... |
"Problem Statement:\nThe amplitude of a free induction decay drops to 25% of its initial intensity after 1.0 s. Assuming exponential relaxation and Ω = 0, determine the value of T2." | {
"stem_1528": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.000 s",
"opt_B": "2.000 s",
"opt_C": "1.386 s",
"opt_D": "0.721 s",
"opt_E": "1.250 s",
"opt_F": "1.900 s",
"opt_G": "1.500 ... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. The standard enthalpy of combustion of solid phenol $\\left(\\mathrm{C}_6 \\mathrm{H}_5 \\mathrm{OH}\\right)$ is $-3054 \\mathrm{~kJ} \\mathrm{~mol}^{-1}$ at $298 \\mathrm{~K}_{\\text {and }}$ its standard mo... | {
"stem_1529": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-42 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "-60 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "-50$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_... |
"Problem Statement:\nAn 11-liter flask contains 20 g of neon and an unknown weight of hydrogen. The gas density is found to be 0.002 g/cc at 0°C . Calculate the average molecular weight and the number of grams of hydrogen present, and also the pressure. The atomic weight of neon is 20 g/mole." | {
"stem_1530": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 gm of hydrogen, 12.5 gm/mole, 4.6 atm",
"opt_B": "1.2 gm of hydrogen, 9.8 gm/mole, 3.2 atm",
"opt_C": "1.5 gm of hydrogen, 10.2 gm/mole, 3.9 atm",
... |
"Problem Statement:\nWhen alkali metals dissolve in liquid ammonia, their atoms each lose an electron and give rise to a deep-blue solution that contains unpaired electrons occupying cavities in the solvent. These 'metal-ammonia solutions' have a maximum absorption at $1500 \\mathrm{~nm}$. Supposing that the absorption... | {
"stem_1531": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.45 nm",
"opt_B": "0.89 $\\mathrm{~nm}$",
"opt_C": "0.75 $\\mathrm{~nm}$",
"opt_D": "0.69 $\\mathrm{~nm}$",
"opt_E": "0.99 nm",
"op... |
"Problem Statement:\nOxygen initially at 13.8MPa, 15.5°C is throttled in a steady- flow process to a final pressure of 1.38MPa. Assuming the process to be adiabatic, determine the final temperature of oxygen." | {
"stem_1532": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-20°C",
"opt_B": "-18°C",
"opt_C": "-30°C",
"opt_D": "-25°C",
"opt_E": "-13.71°C",
"opt_F": "0°C",
"opt_G": "-8.5°C",
"o... |
"Problem Statement:\nThe equation for cream of tartar and baking powder, in action with hot water is: NaHCO_3 + KHC_4H_6O_6\\ding{217} NaKC_4H_4O_6 + H_2O + CO_2 (g) From the use of 4.2 g of NaHCO_3 (baking powder), what volume of CO_2 should be liberated through the dough at 273°C?" | {
"stem_1533": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.2 l",
"opt_B": "0.05 moles",
"opt_C": "22.4 l",
"opt_D": "1.12 l",
"opt_E": "2.24 l",
"opt_F": "4.48 l",
"opt_G": "0.112 l"... |
"Problem Statement:\nAn electromagnetic wave of40KHzis radiated by an antennato reach a point 60 Km away from it. Find the time takenby this wave to reach the point." | {
"stem_1534": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.7 msec",
"opt_B": "0.8 msec",
"opt_C": "1.5 msec",
"opt_D": "2.0 msec",
"opt_E": "0.05 msec",
"opt_F": "0.3 msec",
"opt_G": ... |
"Problem Statement:\nIf a body is cooled below ambient temperature by a system, it can then be used to freeze water. Calculate the maximum air temperature for which freezing takes place." | {
"stem_1536": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "190°F",
"opt_B": "200°F",
"opt_C": "170°F",
"opt_D": "180°F",
"opt_E": "120°F",
"opt_F": "130°F",
"opt_G": "150°F",
"opt... |
"Problem Statement:\nAssume that one cubic foot of air near a thermonuclear explosion is heated from 0°C to 546,000°C. To what volume does the air expand?" | {
"stem_1537": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3000 ft^3",
"opt_B": "7500 ft^3",
"opt_C": "1000 ft^3",
"opt_D": "2730 ft^3",
"opt_E": "500 ft^3",
"opt_F": "4000 ft^3",
"opt_... |
"Problem Statement:\nOf the many compounds present in cigarette smoke, such as the carcinogen 3,4-benzo [a]pyrene, some of the more abundant are listed in the following table along with their mole fractions: ComponentMole Fraction H_20.016 O_20.12 CO0.036 CO_20.079 What is the mass of carbon monoxide in a 35.0 ml puff ... | {
"stem_1538": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.8 × 10^-3 g",
"opt_B": "1.6 × 10^-3 g",
"opt_C": "2.0 × 10^-3 g",
"opt_D": "5.6 × 10^-3 g",
"opt_E": "3.2 × 10^-3 g",
"opt_F": "4.... |
"Problem Statement:\nA 19 ft. long tube with a (3/4) in. diameter is designed to heat air from 65°F to 210°F. The air flows at 3.0lbm/hr. Determine the constant heat fluxq_wwhich must be supplied to the air, and also the wall temperature at the end of the tube." | {
"stem_1539": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25.0 Btu/hr-ft^2 and 225°F",
"opt_B": "31.0 Btu/hr-ft^2 and 242°F",
"opt_C": "32.2 Btu/hr-ft^2 and 245°F",
"opt_D": "28.1 Btu/hr-ft^2 and 234°F"... |
"Problem Statement:\nAt 393.7°C, the second-rate constant for the decomposition of gaseous hydrogen iodide in a second order reaction is 2.6 × 10^-4M^-1s^-1. Given that the Arrhenius activation energy for the reaction is 45.6 kcal mol^-1 calculate the second order rate constant for this reaction from collision theory. ... | {
"stem_1540": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.0 × 10^-4M^-1s^-1",
"opt_B": "1.3 × 10^-4M^-1s^-1",
"opt_C": "3.0 × 10^-4M^-1s^-1",
"opt_D": "1.8 × 10^-4M^-1s^-1",
"opt_E": "1.2 × 10^-... |
"Problem Statement:\nUse the $D_0$ value of $\\mathrm{H}_2(4.478 \\mathrm{eV})$ and the $D_0$ value of $\\mathrm{H}_2^{+}(2.651 \\mathrm{eV})$ to calculate the first ionization energy of $\\mathrm{H}_2$ (that is, the energy needed to remove an electron from $\\mathrm{H}_2$ )." | {
"stem_1541": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.876 $\\mathrm{eV}$",
"opt_B": "16.500 $\\mathrm{eV}$",
"opt_C": "14.789 $\\mathrm{eV}$",
"opt_D": "17.128 $\\mathrm{eV}$",
"opt_E": "19... |
"Problem Statement:\nChromic oxide (Cr_2 O_3) may be reduced with hydrogen according to the equation Cr_2 O_3 + 3H_2 \\rightarrow 2Cr + 3H_2 O (a) What weight of hydrogen would be required to reduce 7.6 g of Cr_2 O_3? (b) For each mole of metallic chromium prepared, how many moles of hydrogen will be required? (c) What... | {
"stem_1542": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.50 g, 2.5 moles, 1500 lbs",
"opt_B": "0.60 g, 3.0 moles, 1600 lbs",
"opt_C": "0.30 g, 1.5 moles, 1333 lbs",
"opt_D": "0.45 g, 2.25 moles, 1550... |
"Problem Statement:\nConsider the evaporation of liquid ammonia into air at 80°F and 1 atm. Given the heat transfer coefficient in the same apparatus and at the same liquid and gas flow rates as 810 Btu/hr. ft^2. °F, estimate the mass transfer coefficient of liquid ammonia vaporizing into air." | {
"stem_1543": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "110 lb moles/hr-ft^2-atm",
"opt_B": "200 lb moles/hr-ft^2-atm",
"opt_C": "100 lb moles/hr-ft^2-atm",
"opt_D": "180 lb moles/hr-ft^2-atm",
... |
"Problem Statement:\nFind Antilog_10 0.8762 - 2." | {
"stem_1544": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.762",
"opt_B": "0.8762",
"opt_C": "0.0752",
"opt_D": "0.8752",
"opt_E": "1.752",
"opt_F": "0.00752",
"opt_G": "752",
"... |
"Problem Statement:\nA nozzle has air flowing through it at a rate of 0.25 lb/sec. The inlet conditions are; P_i = 35 psia, T_i = 650°R and specific volume = 6.0 ft^3/lb. The air enters with a velocity of 550 fps and leaves with a pressure of 18 psia. Compute the nozzle outlet cross-sectional area. Assume that the air ... | {
"stem_1545": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0019 ft^2",
"opt_B": "0.0025 ft^2",
"opt_C": "0.0009 ft^2",
"opt_D": "0.0012 ft^2",
"opt_E": "0.0030 ft^2",
"opt_F": "0.0017 ft^2"... |
"Problem Statement:\nThe vapor pressure of benzene at 75°C is 640 torr. A solution of 3.68 g of a solute in 53.0 g benzene has a vapor pressure of 615 torr. Calculate the molecular weight of the solute. (MW of benzene = 78.0.)" | {
"stem_1546": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "120.5 g/mole",
"opt_B": "98.6 g/mole",
"opt_C": "88.9 g/mole",
"opt_D": "125.6 g/mole",
"opt_E": "160.7 g/mole",
"opt_F": "145.2 g/m... |
"Problem Statement:\nWithout referring to a table, place the following hydro-carbons in order of increasing boiling points. (a) methane(d)neopentane (b) n-hexane(e) 2,3-dimethylbutane (c) n-undecane" | {
"stem_1547": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2,3-dimethylbutane < neopentane < n-hexane < n-undecane < methane",
"opt_B": "methane < 2,3-dimethylbutane < neopentane < n-hexane < n-undecane",
"opt... |
"Problem Statement:\nWhat would be the final partial pressure of oxygen in the following experiment? A collapsed polyethylene bag of 30 liters capacity is partially blown up by the addition of 10 liters of nitrogen gas measured at 0.965atmand 298°K. Subsequently, enough oxygen is pumped into the bag so that, at 298°K a... | {
"stem_1548": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.955 atm",
"opt_B": ".990 atm",
"opt_C": "1.335 atm",
"opt_D": "2.50 moles",
"opt_E": "1.22 moles",
"opt_F": ".669 atm",
"opt... |
"Problem Statement:\nAssuming a basis of one standard cubic foot of CO burned, determinethe adiabatic flame temperature for the perfect combustionof CO with astoichiometricamount of air, when thereactant gases are @ 60°F and 1atmpressure. Also correctfor CO_2 dissociation." | {
"stem_1549": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3820°F",
"opt_B": "3400°F",
"opt_C": "4200°F",
"opt_D": "3700°F",
"opt_E": "3100°F",
"opt_F": "3900°F",
"opt_G": "2900°F",
... |
"Problem Statement:\n200mlof oxygen is collected over water at 25°C and 750 torr. If the oxygen thus obtained is dried at a constant temperature of 25°C and 750torr, what volume will it occupy? What volume will be occupied by the water vapor removed from the oxygen if it is maintained at 25°C and 750 torr? (The equilib... | {
"stem_1550": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "200ml and 0ml",
"opt_B": "185ml and 15ml",
"opt_C": "205ml and 2.5ml",
"opt_D": "195ml and 10ml",
"opt_E": "180ml and 20ml",
"opt_F"... |
"Problem Statement:\nThe atomic weight of element X is 58.7. 7.34 g of X displaces 0.25 g of hydrogen from hydrochloric acid (HCl). What is the valence of element X?" | {
"stem_1551": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-2",
"opt_B": "+4",
"opt_C": "+6",
"opt_D": "+3",
"opt_E": "0 (zero valence)",
"opt_F": "-1",
"opt_G": "+5",
"opt_H": "+... |
"Problem Statement:\nThe rate, r, of a zero-order chemical reaction A → B can be expressed as which of the following?" | {
"stem_1552": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "r = k [B]",
"opt_B": "r = k [A]^2",
"opt_C": "r = k [A]",
"opt_D": "r = k √[A]",
"opt_E": "r = k [A]^-1",
"opt_F": "r = k",
"o... |
"Problem Statement:\nTwo 60-cycle motors are connected in concatenation to drive a load. If machine 1 has six poles and machine has eight poles, (a) calculate the speed of the combination if the slip is 0.075. (b) At what other speeds can the load be driven if each motor is operated separately, assuming the same value ... | {
"stem_1553": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "450, 1130, 840",
"opt_B": "485, 1105, 845",
"opt_C": "480, 1100, 820",
"opt_D": "470, 1125, 815",
"opt_E": "520, 1140, 860",
"opt_F"... |
"Problem Statement:\nCalculate the vapor pressure of a solution of 20.0 grams of sucrose, C_12H_22O_11, in 40.0 grams of water at 34°C. The vapor pressure of water is 40.00 mm at 34°C." | {
"stem_1554": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "38.5 mm",
"opt_B": "35.0 mm",
"opt_C": "37.0 mm",
"opt_D": "40.0 mm",
"opt_E": "38.0 mm",
"opt_F": "41.0 mm",
"opt_G": "37.5 m... |
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