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PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_gibbs_energy_change(volume_m3, delta_p_pa): '''Compute the change in Gibbs energy in kJ. Inputs: volume_m3: volume in m^3, float delta_p_pa: change in pressure in Pa, float Outputs: delta_g_kj: change in Gibbs energy in kJ, float ''' delta_g_kj = (volume_m3 * delta_p_pa) / 10...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def estimate_gibbs_change_benzene(volume_dm3, p1_atm, p2_atm): '''Estimate the change in Gibbs energy of benzene. Inputs: volume_dm3: initial volume of benzene in dm^3, float p1_atm: initial pressure in atm, float p2_atm: final pressure in atm, float Outputs: delta_g_kj: change in Gibbs ener...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def calculate_volume(mass_g, density_g_cm3): '''Calculate the volume of the substance in cubic meters. Inputs: mass_g: mass of the substance in grams, float density_g_cm3: mass density in g/cm^3, float Output: volume in m^3, float ''' if mass_g == 0: return 0.0 volume_cm3 = mass_...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def calculate_pressure_change(p1_atm, p2_atm): '''Calculate the change in pressure in Pascals. Inputs: p1_atm: initial pressure in atm, float p2_atm: final pressure in atm, float Output: pressure change in Pa, float ''' delta_p_pa = (p2_atm - p1_atm) * 101325.0 return delta_p_pa
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def calculate_gibbs_energy_change(volume_m3, delta_p_pa): '''Calculate the change in Gibbs energy in kJ. Inputs: volume_m3: volume of the substance in m^3, float delta_p_pa: change in pressure in Pa, float Output: change in Gibbs energy in kJ, float ''' if volume_m3 == 0 or delta_p_pa == 0: ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def solve_problem(mass_g, density_g_cm3, p1_atm, p2_atm): '''Calculate the change in Gibbs energy of ethanol when pressure is increased isothermally. Inputs: mass_g: mass of ethanol in grams, float density_g_cm3: mass density of ethanol in g/cm^3, float p1_atm: initial pressure in atm, float p2_...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def calculate_initial_volume(final_volume, volume_reduction): '''Calculate the initial volume of the gas before compression. Inputs: final_volume: final volume of the gas, float volume_reduction: reduction in volume during compression, float Output: initial_volume: initial volume of the gas, flo...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def calculate_initial_pressure(final_pressure, final_volume, initial_volume): '''Calculate the initial pressure of the gas using Boyle's Law. Inputs: final_pressure: final pressure of the gas, float final_volume: final volume of the gas, float initial_volume: initial volume of the gas, float Out...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def solve_original_pressure(final_pressure, final_volume, volume_reduction): '''Solve for the original pressure of the gas undergoing isothermal compression. Inputs: final_pressure: final pressure of the gas in bar, float final_volume: final volume of the gas in dm^3, float volume_reduction: reducti...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def convert_temperature(temp_celsius): '''Convert temperature from Celsius to Kelvin. Inputs: temp_celsius: temperature in degrees Celsius, float Output: temp_kelvin: temperature in Kelvin, float ''' temp_kelvin = temp_celsius + 273.15 return temp_kelvin
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_molar_volume(volume_dm3, n_moles): '''Compute the molar volume of the gas. Inputs: volume_dm3: total volume in dm^3, float n_moles: amount of substance in moles, float Output: molar_volume: molar volume in dm^3/mol, float ''' if n_moles == 0: if volume_dm3 == 0: ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_vdw_pressure(molar_volume, temp_kelvin, a, b, R): '''Compute the pressure using the van der Waals equation. Inputs: molar_volume: molar volume in dm^3/mol, float temp_kelvin: absolute temperature in Kelvin, float a: van der Waals constant a, float b: van der Waals constant b, float ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def solve_problem(n_moles, volume_dm3, temp_celsius, a, b, R): '''Calculate the pressure of Xenon gas using the van der Waals equation. Inputs: n_moles: amount of Xenon in moles, float volume_dm3: volume of the container in dm^3, float temp_celsius: temperature in degrees Celsius, float a: van d...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def calculate_initial_volume(final_volume, volume_reduction): '''Calculate the initial volume of the gas before compression. Inputs: final_volume: final volume of the gas, float volume_reduction: amount by which the volume was reduced, float Output: initial_volume: initial volume of the gas, flo...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def apply_boyles_law(final_pressure, final_volume, initial_volume): '''Calculate the initial pressure using Boyle's Law. Inputs: final_pressure: final pressure of the gas, float final_volume: final volume of the gas, float initial_volume: initial volume of the gas, float Output: initial_pres...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def convert_pressure_bar_to_atm(pressure_bar): '''Convert pressure from bar to atm. Inputs: pressure_bar: pressure in bar, float Output: pressure_atm: pressure in atm, float ''' pressure_atm = pressure_bar / 1.01325 return pressure_atm
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def solve_original_pressure(final_pressure_bar, final_volume_dm3, volume_reduction_dm3): '''Calculate the original pressure of the gas in atm. Inputs: final_pressure_bar: final pressure of the gas in bar, float final_volume_dm3: final volume of the gas in dm^3, float volume_reduction_dm3: amount by ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def convert_pressure_to_pa(pressure_MPa): '''Convert pressure from MPa to Pa. Inputs: pressure_MPa : float Pressure in Megapascals. Outputs: pressure_Pa : float Pressure in Pascals. ''' pressure_Pa = float(pressure_MPa) * 1e6 return pressure_Pa
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def calculate_vdw_b(a, molar_volume, temperature, pressure_Pa): '''Calculate the van der Waals constant b. Inputs: a : float The van der Waals constant a in m^6 Pa mol^-2. molar_volume : float The molar volume in m^3 mol^-1. temperature : float The temperature in K. press...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def calculate_compression_factor(pressure_Pa, molar_volume, temperature): '''Calculate the compression factor Z. Inputs: pressure_Pa : float The pressure in Pa. molar_volume : float The molar volume in m^3 mol^-1. temperature : float The temperature in K. Outputs: Z :...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def solve_vdw_gas_properties(a, molar_volume, temperature, pressure_MPa): '''Calculate the van der Waals constant b and the compression factor Z. Inputs: a : float The van der Waals constant a in m^6 Pa mol^-2. molar_volume : float The molar volume in m^3 mol^-1. temperature : float ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def compute_specific_volumes(densities): '''Compute the specific volumes from densities. Inputs: densities: array of gas densities, list or numpy array of floats Outputs: specific_volumes: array of specific volumes, numpy array of floats ''' densities_arr = np.array(densities, dtype=float) ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def fit_charles_law_line(temperatures, specific_volumes): '''Perform a linear fit of specific volume vs temperature. Inputs: temperatures: array of temperatures in Celsius, list or numpy array of floats specific_volumes: array of specific volumes, list or numpy array of floats Outputs: slope: sl...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def calculate_absolute_zero(slope, intercept): '''Calculate absolute zero from the linear fit parameters. Inputs: slope: slope of the volume-temperature line, float intercept: intercept of the volume-temperature line, float Outputs: absolute_zero: absolute zero temperature in Celsius, float ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def solve_absolute_zero(temperatures, densities): '''Determine absolute zero from temperature and density data. Inputs: temperatures: array of temperatures in Celsius, list or numpy array of floats densities: array of gas densities, list or numpy array of floats Outputs: absolute_zero: absolute ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def compute_moles(mass, molar_mass): '''Calculate the number of moles of a substance. Inputs: mass: mass of the sample in grams, float molar_mass: molar mass of the substance in g/mol, float Output: moles: number of moles, float ''' moles = mass / molar_mass return moles
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def compute_system_entropy_change(moles, volume_ratio, R): '''Compute the entropy change of the system for an isothermal expansion. Inputs: moles: number of moles of the gas, float volume_ratio: ratio of final volume to initial volume, float R: ideal gas constant in J/(mol K), float Output: ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def compute_surroundings_entropy_change(delta_S_sys): '''Compute the entropy change of the surroundings for a reversible process. Inputs: delta_S_sys: entropy change of the system in J/K, float Output: delta_S_surr: entropy change of the surroundings in J/K, float ''' delta_S_surr = -delta_S...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def total_entropy_change(mass, molar_mass, volume_ratio, R): '''Compute the total entropy change for an isothermal reversible expansion. Inputs: mass: mass of the gas sample in grams, float molar_mass: molar mass of the gas in g/mol, float volume_ratio: ratio of final volume to initial volume, float...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def compute_Cp_m(Cv_m): '''Calculate the molar constant-pressure heat capacity. Inputs: Cv_m: molar constant-volume heat capacity in J/(K*mol), float Outputs: Cp_m: molar constant-pressure heat capacity in J/(K*mol), float ''' R = 8.314 Cp_m = Cv_m + R return Cp_m
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def compute_delta_H_Joules(n_moles, Cp_m, T_initial, T_final): '''Calculate the change in enthalpy in Joules. Inputs: n_moles: amount of substance in moles, float Cp_m: molar constant-pressure heat capacity in J/(K*mol), float T_initial: initial temperature in Kelvin, float T_final: final temper...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def adiabatic_compression_enthalpy(n_moles, T_initial, T_final, Cv_m): '''Calculate the change in enthalpy in kJ for the adiabatic compression. Inputs: n_moles: amount of substance in moles, float T_initial: initial temperature in Kelvin, float T_final: final temperature in Kelvin, float Cv_m: m...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def calculate_gibbs_change_j_mol(p_initial, p_final, temperature, r_const): '''Calculate the change in molar Gibbs energy in J/mol. Inputs: p_initial: initial pressure, float p_final: final pressure, float temperature: temperature in Kelvin, float r_const: universal gas constant in J/(K*mol), fl...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def convert_to_kj_mol(energy_j): '''Convert energy from J/mol to kJ/mol. Inputs: energy_j: energy in J/mol, float Output: energy_kj: energy in kJ/mol, float ''' energy_kj = energy_j / 1000.0 return energy_kj
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def molar_gibbs_energy_change(p_initial, p_final, temperature): '''Calculate the change in molar Gibbs energy in kJ/mol for an isothermal process. Inputs: p_initial: initial pressure in atm, float p_final: final pressure in atm, float temperature: absolute temperature in Kelvin, float Output: ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def compute_volume_change_and_work(cross_section_cm2, distance_cm, p_ex_atm): '''Compute the volume change and work done on the gas. Inputs: cross_section_cm2: cross-sectional area in cm^2, float distance_cm: distance moved in cm, float p_ex_atm: external pressure in atm, float Outputs: delt...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_final_temperature(work_j, n_mol, cv_m, t1_c): '''Compute the final temperature of the gas after adiabatic expansion. Inputs: work_j: work done on the gas in Joules, float n_mol: amount of gas in moles, float cv_m: molar heat capacity at constant volume in J/(K mol), float t1_c: initi...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_volumes(n_mol, t1_c, p1_atm, delta_v_m3): '''Compute the initial and final volumes of the gas. Inputs: n_mol: amount of gas in moles, float t1_c: initial temperature in Celsius, float p1_atm: initial pressure in atm, float delta_v_m3: volume change in m^3, float Outputs: v1_m...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_entropy_change(n_mol, cv_m, t1_c, t2_k, v1_m3, v2_m3): '''Compute the entropy change of the perfect gas. Inputs: n_mol: amount of gas in moles, float cv_m: molar heat capacity at constant volume in J/(K mol), float t1_c: initial temperature in Celsius, float t2_k: final temperature i...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def adiabatic_expansion_entropy(n_mol, t1_c, p1_atm, cross_section_cm2, p_ex_atm, distance_cm, cv_m): '''Calculate the entropy change of a perfect gas undergoing adiabatic expansion. Inputs: n_mol: amount of gas in moles, float t1_c: initial temperature in Celsius, float p1_atm: initial pressure in ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def convert_units(mass_kg, t1_c, t2_c): '''Convert mass to grams and temperatures to Kelvin. Inputs: mass_kg: mass in kilograms, float t1_c: temperature 1 in Celsius, float t2_c: temperature 2 in Celsius, float Outputs: mass_g: mass in grams, float t1_k: temperature 1 in Kelvin, float ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_final_temperature(mass1_g, mass2_g, cs, t1_k, t2_k): '''Calculate the final equilibrium temperature of the two blocks. Inputs: mass1_g: mass of block 1 in grams, float mass2_g: mass of block 2 in grams, float cs: specific heat capacity in J/(K*g), float t1_k: initial temperature of b...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_total_enthalpy_change(mass1_g, mass2_g, cs, t1_k, t2_k, t_final_k): '''Calculate the total enthalpy change of the system. Inputs: mass1_g: mass of block 1 in grams, float mass2_g: mass of block 2 in grams, float cs: specific heat capacity in J/(K*g), float t1_k: initial temperature o...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def solve_enthalpy_change(mass_kg, t1_c, t2_c, cs): '''Calculate the total enthalpy change when two copper blocks are placed in contact. Inputs: mass_kg: mass of each block in kilograms, float t1_c: initial temperature of block 1 in Celsius, float t2_c: initial temperature of block 2 in Celsius, flo...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def calculate_moles(mass_mg, molar_mass_g_mol): '''Calculate the amount of substance in moles. Inputs: mass_mg: mass of the sample in milligrams, float molar_mass_g_mol: molar mass of the substance in grams per mole, float Output: n_moles: amount of substance in moles, float ''' n_moles ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def calculate_ideal_gas_pressure(n_moles, volume_dm3, temperature_k, R): '''Calculate the pressure of an ideal gas. Inputs: n_moles: amount of substance in moles, float volume_dm3: volume of the gas in cubic decimeters, float temperature_k: temperature of the gas in Kelvin, float R: ideal gas co...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to ca...
def solve_neon_pressure(mass_mg, volume_dm3, temperature_k, molar_mass_g_mol, R): '''Calculate the pressure of the neon gas sample. Inputs: mass_mg: mass of the neon sample in milligrams, float volume_dm3: volume occupied by the gas in cubic decimeters, float temperature_k: temperature of the gas in...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def convert_entropy_units(delta_S_J): '''Convert entropy from J/(K*mol) to kJ/(K*mol). Inputs: delta_S_J: standard reaction entropy in J/(K*mol), float Outputs: delta_S_kJ: standard reaction entropy in kJ/(K*mol), float ''' delta_S_kJ = float(delta_S_J) / 1000.0 return delta_S_kJ
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_gibbs_energy(T2, delta_H_ref, delta_S_kJ): '''Compute the standard reaction Gibbs energy at T2. Inputs: T2: target temperature in Kelvin, float delta_H_ref: standard reaction enthalpy in kJ/mol, float delta_S_kJ: standard reaction entropy in kJ/(K*mol), float Outputs: delta_G_T2:...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def estimate_gibbs_energy_at_T(T1, T2, delta_H_ref, delta_S_ref): '''Estimate the standard reaction Gibbs energy at T2. Inputs: T1: reference temperature in Kelvin, float T2: target temperature in Kelvin, float delta_H_ref: standard reaction enthalpy at T1 in kJ/mol, float delta_S_ref: standard ...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: NEXT STEP - PROBLEM ...
def convert_units(pressure_atm, B_cm3_mol, C_cm6_mol2): '''Convert pressure and virial coefficients to SI units. Inputs: pressure_atm: pressure in atm, float B_cm3_mol: second virial coefficient in cm^3/mol, float C_cm6_mol2: third virial coefficient in cm^6/mol^2, float Outputs: pressure_pa...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_molar_volume(pressure_pa, temperature, B_m3_mol, C_m6_mol2): '''Compute the molar volume of the gas by solving the cubic equation of state. Inputs: pressure_pa: pressure in Pa, float temperature: temperature in K, float B_m3_mol: second virial coefficient in m^3/mol, float C_m6_mol2:...
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def compute_fugacity_coefficient(pressure_pa, temperature, V_m, B_m3_mol, C_m6_mol2): '''Compute the fugacity coefficient of the gas. Inputs: pressure_pa: pressure in Pa, float temperature: temperature in K, float V_m: molar volume in m^3/mol, float B_m3_mol: second virial coefficient in m^3/mol...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def solve_problem(pressure_atm, temperature, B_cm3_mol, C_cm6_mol2): '''Estimate the fugacity of the gas in atm. Inputs: pressure_atm: pressure of the gas in atm, float temperature: temperature of the gas in K, float B_cm3_mol: second virial coefficient in cm^3/mol, float C_cm6_mol2: third viria...
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def convert_temperature(T1_C, T2_C): '''Convert temperatures from Celsius to Kelvin. Inputs: T1_C : float Initial temperature in degrees Celsius. T2_C : float Final temperature in degrees Celsius. Outputs: T1_K, T2_K : tuple of floats Initial and final temperatures in Kel...
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def entropy_change_temperature(n, cp_m, T1_K, T2_K): '''Calculate the entropy change due to temperature change at constant pressure. Inputs: n : float Amount of substance in moles. cp_m : float Molar heat capacity at constant pressure in J/(K*mol). T1_K : float Initial temper...
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def entropy_change_pressure(n, p1, p2): '''Calculate the entropy change due to pressure change at constant temperature. Inputs: n : float Amount of substance in moles. p1 : float Initial pressure. p2 : float Final pressure. Outputs: delta_S_p : float Entropy c...
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def total_entropy_change(n, cp_m, T1_C, p1_atm, T2_C, p2_atm): '''Calculate the total entropy change of the perfect gas. Inputs: n : float Amount of substance in moles. cp_m : float Molar heat capacity at constant pressure in J/(K*mol). T1_C : float Initial temperature in deg...
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def convert_vdw_parameters(a_atm, b_L): '''Convert van der Waals parameters to SI units. Inputs: a_atm: parameter a in L^2 atm mol^-2, float b_L: parameter b in L mol^-1, float Outputs: a_si: parameter a in Pa m^6 mol^-2, float b_si: parameter b in m^3 mol^-1, float ''' a_si = float(...
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def compute_boyle_temperature(a_si, b_si): '''Compute the Boyle temperature from SI van der Waals parameters. Inputs: a_si: parameter a in Pa m^6 mol^-2, float b_si: parameter b in m^3 mol^-1, float Outputs: T_B: Boyle temperature in Kelvin, float ''' R = 8.31446 if b_si == 0.0: ...
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def boyle_temperature_of_chlorine(a_atm, b_L): '''Calculate the Boyle temperature of chlorine. Inputs: a_atm: parameter a in L^2 atm mol^-2, float b_L: parameter b in L mol^-1, float Outputs: T_B: Boyle temperature in Kelvin, float ''' a_si, b_si = convert_vdw_parameters(a_atm, b_L) ...
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def compute_volume_change(area_cm2, distance_cm): '''Compute the change in volume in cubic meters. Inputs: area_cm2: cross-sectional area in square centimeters, float distance_cm: distance the piston is pushed in centimeters, float Output: volume_change_m3: change in volume in cubic meters, floa...
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def convert_pressure(pressure_atm, atm_to_pa): '''Convert pressure from atmospheres to Pascals. Inputs: pressure_atm: external pressure in atmospheres, float atm_to_pa: conversion factor from atm to Pa, float Output: pressure_pa: external pressure in Pascals, float ''' pressure_pa = floa...
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def compute_work(pressure_pa, volume_change_m3): '''Calculate the expansion work done by the system. Inputs: pressure_pa: external pressure in Pascals, float volume_change_m3: change in volume in cubic meters, float Output: work_joules: work done by the system in Joules, float ''' work_j...
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def calculate_total_work(area_cm2, distance_cm, pressure_atm, atm_to_pa): '''Calculate the total work done by the system during expansion. Inputs: area_cm2: cross-sectional area in square centimeters, float distance_cm: distance the piston is pushed in centimeters, float pressure_atm: external press...
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def prepare_thermodynamic_state(mass_g, molar_mass, temp_celsius): '''Prepare the thermodynamic state variables by calculating moles and absolute temperature. Inputs: mass_g: mass of the gas in grams, float molar_mass: molar mass of the gas in grams per mole, float temp_celsius: temperature in degre...
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def calculate_ideal_gas_pressure(n_moles, volume_dm3, temp_kelvin, R): '''Compute the pressure of an ideal gas. Inputs: n_moles: amount of substance in moles, float volume_dm3: volume of the vessel in cubic decimeters, float temp_kelvin: absolute temperature in Kelvin, float R: ideal gas constan...
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def solve_xenon_pressure(mass_g, volume_dm3, temp_celsius, molar_mass, R): '''Solve for the pressure exerted by the Xenon gas. Inputs: mass_g: mass of the xenon gas in grams, float volume_dm3: volume of the vessel in cubic decimeters, float temp_celsius: temperature of the gas in degrees Celsius, fl...
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def compute_proportionality_constant(pressure_ref, temperature_ref): '''Compute the proportionality constant for a constant-volume gas thermometer. Inputs: pressure_ref: pressure at the reference state, float temperature_ref: temperature at the reference state, float Output: proportionality constant...
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def compute_pressure_change(prop_constant, delta_temperature): '''Compute the change in pressure for a given temperature change. Inputs: prop_constant: proportionality constant of the thermometer, float delta_temperature: change in temperature, float Output: change in pressure, float ''' if ...
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def solve_pressure_change(pressure_ref, temperature_ref, delta_temperature): '''Solve for the pressure change given a temperature change and reference conditions. Inputs: pressure_ref: pressure at the reference state, float temperature_ref: temperature at the reference state, float delta_temperature...
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def compute_volume_conversion_factor(length_factor): '''Compute the volume conversion factor from a linear length conversion factor. Inputs: length_factor: conversion factor from the given length unit to meters, float Output: volume_factor: conversion factor for volume to cubic meters, float '''...
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def convert_van_der_waals_b(b_value, volume_factor): '''Convert the van der Waals parameter b to SI units using the volume conversion factor. Inputs: b_value: van der Waals parameter b in original units, float volume_factor: conversion factor for volume, float Output: b_value_si: van der Waals p...
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def express_vdw_b_in_si(b_value, length_factor): '''Express the van der Waals parameter b in SI base units. Inputs: b_value: van der Waals parameter b in dm^3/mol, float length_factor: conversion factor from dm to m, float Output: b_value_si: van der Waals parameter b in m^3/mol, float ''' ...
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def compute_total_heat_capacity(heat_supplied, delta_T): '''Compute the total heat capacity at constant pressure. Inputs: heat_supplied: energy supplied as heat in Joules, float delta_T: increase in temperature in Kelvin, float Outputs: total_heat_capacity: total heat capacity in J/K, float ...
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def compute_molar_heat_capacity(total_heat_capacity, n_moles): '''Compute the molar heat capacity from total heat capacity and moles. Inputs: total_heat_capacity: total heat capacity in J/K, float n_moles: amount of substance in moles, float Outputs: molar_heat_capacity: molar heat capacity in J...
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def molar_heat_capacity_argon(heat_supplied, n_moles, delta_T): '''Calculate the molar heat capacity of Argon gas given heat, moles, and temperature change. Inputs: heat_supplied: energy supplied as heat in Joules, float n_moles: amount of substance in moles, float delta_T: increase in temperature i...
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def calculate_moles(mass, molar_mass): '''Calculate the number of moles of a substance. Inputs: mass: mass of the sample in grams, float molar_mass: molar mass of the substance in g/mol, float Output: n_moles: amount of substance in moles, float ''' n_moles = float(mass) / float(molar_ma...
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def entropy_change_system(n_moles, volume_ratio, R): '''Calculate the entropy change of the system for an isothermal expansion. Inputs: n_moles: amount of substance in moles, float volume_ratio: ratio of final volume to initial volume (V_f / V_i), float R: ideal gas constant in J/(K*mol), float ...
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def entropy_change_surroundings(n_moles, temperature, p_initial, volume_ratio, p_ex, R): '''Calculate the entropy change of the surroundings for an expansion against constant external pressure. Inputs: n_moles: amount of substance in moles, float temperature: absolute temperature in Kelvin, float p_...
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def total_entropy_change(mass, molar_mass, temperature, p_initial, volume_ratio, p_ex, R): '''Calculate the total entropy change for the isothermal expansion of a perfect gas. Inputs: mass: mass of the gas sample in grams, float molar_mass: molar mass of the gas in g/mol, float temperature: absolute...
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def convert_energy_to_joules(heat_production_mj): '''Convert heat energy from Megajoules to Joules. Inputs: heat_production_mj: heat energy in Megajoules, float Output: heat_production_j: heat energy in Joules, float ''' heat_production_j = heat_production_mj * 1e6 return heat_production...
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def compute_moles_water(heat_production_j, enthalpy_vap_j_mol): '''Compute the number of moles of water evaporated to dissipate the given heat. Inputs: heat_production_j: total heat energy to dissipate in Joules, float enthalpy_vap_j_mol: enthalpy of vaporization of water in J/mol, float Output: ...
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def compute_mass_water(moles_water, molar_mass_g_mol): '''Compute the mass of water in kilograms given the number of moles. Inputs: moles_water: amount of water in moles, float molar_mass_g_mol: molar mass of water in g/mol, float Output: mass_kg: mass of water in kilograms, float ''' ma...
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def solve_evaporation_mass(heat_production_mj, enthalpy_vap_j_mol, molar_mass_g_mol): '''Calculate the mass of water that must be evaporated to maintain constant temperature. Inputs: heat_production_mj: daily metabolic heat production in MJ, float enthalpy_vap_j_mol: standard enthalpy of vaporization of...
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def compute_gibbs_energy_change(T, a, b): '''Compute the change in Gibbs energy at a given temperature. Inputs: T: absolute temperature in Kelvin, float a: constant term in the Gibbs energy expression in Joules, float b: temperature coefficient in the Gibbs energy expression in J/K, float Output...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_entropy_change(a, b): '''Compute the entropy change of the process using the temperature dependence of Gibbs energy. Inputs: a: constant term in the Gibbs energy expression in Joules, float b: temperature coefficient in the Gibbs energy expression in J/K, float Output: delta_S: entro...
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def solve_entropy_change(a, b): '''Calculate the value of delta S for the process. Inputs: a: constant term in the Gibbs energy expression in Joules, float b: temperature coefficient in the Gibbs energy expression in J/K, float Output: delta_S: entropy change of the process in J/K, float '''...
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def calculate_volume_change(area_cm2, distance_cm): '''Calculate the change in volume in cubic meters. Inputs: area_cm2: cross-sectional area in cm^2, float distance_cm: distance moved by the piston in cm, float Output: delta_v_m3: change in volume in m^3, float ''' delta_v_m3 = float(ar...
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def calculate_work_done(p_ex_atm, delta_v_m3): '''Calculate the work done on the gas in Joules. Inputs: p_ex_atm: external pressure in atm, float delta_v_m3: change in volume in m^3, float Output: work_j: work done in Joules, float ''' p_ex_pa = p_ex_atm * 101325 work_j = -p_ex_pa * ...
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def calculate_temperature_change(work_j, n_mol, cv_m): '''Calculate the change in temperature of the gas. Inputs: work_j: work done on the gas in Joules, float n_mol: amount of gas in moles, float cv_m: molar heat capacity at constant volume in J/(K mol), float Output: delta_t: change in tem...
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def solve_adiabatic_expansion(n_mol, area_cm2, distance_cm, p_ex_atm, cv_m): '''Calculate the temperature change for the adiabatic expansion of a perfect gas. Inputs: n_mol: amount of gas in moles, float area_cm2: cross-sectional area of the cylinder in cm^2, float distance_cm: distance the piston m...
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def convert_celsius_to_kelvin(temp_c): '''Convert temperature from Celsius to Kelvin. Inputs: temp_c: temperature in degrees Celsius, float Output: temp_k: temperature in Kelvin, float ''' temp_k = temp_c + 273.15 return temp_k
PROBLEM DESCRIPTION: You will be provided with the main description of the problem, previous steps, and the next step. Your task will be to generate the disciplinary knowledge necessary for solving the next step and then develop a Python solution focused on this step. PREVIOUS STEPS DESCRIPTION: Write a function to co...
def compute_isochoric_constant(pressure, temp_k): '''Compute the ratio of pressure to temperature for a constant-volume process. Inputs: pressure: pressure of the gas, float temp_k: absolute temperature of the gas in Kelvin, float Output: k_constant: the ratio of pressure to temperature, float ...
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def compute_target_pressure(k_constant, target_temp_k): '''Calculate the pressure at a target temperature given the isochoric constant. Inputs: k_constant: the ratio of pressure to temperature (P/T), float target_temp_k: target absolute temperature in Kelvin, float Output: target_pressure: press...
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def thermometer_pressure(p_triple, t_triple_k, t_target_c): '''Determine the pressure of a constant-volume gas thermometer at a target Celsius temperature. Inputs: p_triple: pressure at the triple point of water in kPa, float t_triple_k: absolute temperature of the triple point of water in Kelvin, float...
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def sum_enthalpies_of_products(delta_H_f_NH3, delta_H_f_SO2): '''Calculate the total standard enthalpy of formation of the products. Inputs: delta_H_f_NH3: standard enthalpy of formation of NH3 in kJ/mol, float delta_H_f_SO2: standard enthalpy of formation of SO2 in kJ/mol, float Output: total_H...
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def calculate_enthalpy_of_formation_complex(delta_H_decomp, total_H_f_products): '''Calculate the standard enthalpy of formation of the complex. Inputs: delta_H_decomp: standard enthalpy of decomposition of the complex in kJ/mol, float total_H_f_products: total standard enthalpy of formation of the prod...
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def solve_problem(delta_H_decomp, delta_H_f_NH3, delta_H_f_SO2): '''Calculate the standard enthalpy of formation of H3NSO2. Inputs: delta_H_decomp: standard enthalpy of decomposition of the complex in kJ/mol, float delta_H_f_NH3: standard enthalpy of formation of NH3 in kJ/mol, float delta_H_f_SO2: ...
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def convert_density(density_g_cm3): '''Convert density from g/cm^3 to kg/m^3. Inputs: density_g_cm3: density of the fluid in g/cm^3, float Output: density_kg_m3: density of the fluid in kg/m^3, float ''' density_kg_m3 = density_g_cm3 * 1000.0 return density_kg_m3