Use the Maxwell relations to show that a || V2 for 1.000 mole of any gas that obeys the van de Waals equation of state. What is the change in internal energy ( J) of 1 mole of a van der Waals gas that has a = 4.137 atm L? mol2 as it expands from 1.0 L to 10.0 L at 298 K? ANSWER FORMAT: Answer in 3 significant figures. Use the conversion: 1.00 Li-atm = 101.325 J. Do not include units in the answer. Do not forget the + or - sign.

Use the Maxwell relations to show that a || V2 for 1.000 mole of any gas that obeys the van de Waals equation of state. What is the change in internal energy ( J) of 1 mole of a van der Waals gas that has a = 4.137 atm L? mol2 as it expands from 1.0 L to 10.0 L at 298 K? ANSWER FORMAT: Answer in 3 significant figures. Use the conversion: 1.00 Li-atm = 101.325 J. Do not include units in the answer. Do not forget the + or - sign.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter1: Gases And The Zeroth Law Of Thermodynamics

Section: Chapter Questions

Problem 1.51E: Numerically evaluate for one mole of methane acting as a van der Waals gas at a T = 298 K and V =...

See similar textbooks

Similar questions

In the equation w = P V, why is there a negative sign?
Numerically evaluate for one mole of methane acting as a van der Waals gas at a T = 298 K and V = 25.0 L and b T = 1000 K and V = 250.0 L. Comment on which set of conditions yields a number closer to that predicted by the ideal gas law. pVT,n
Calculate ΔStotal (for the system) when the state of 0.8 mol diatomic perfect gas molecules, for which Cp,m = 7/2R, is changed from 25°C and 1.50 atm to 135°C and 7.00 atm.Express answer in J/K.
A fuel has the following volumetric analysis: CH4 = 68% C2H6 = 32% Assume complete combustion with 15% excess aur at 101.325 kPa and 27 degrees dry bulb temperature. What is the total moles in the products of combustion?
The equation of state of a certain gas is given by p = RT/Vm + (a + bT)/Vm2, where a and b are constants. Find (∂Vm/∂T)p.
The virial equation of state may also be written as an expansion in terms of pressure: Z = 1 + B'p + ... The critical constants for water, H2O, are 218.3 atm. 55.3 cm3 mol-1 and 647.4 K. Assuming that the expansion may be truncated after the second term, calculate the value of the second virial coefficientB' at the critical temperature.
What is the ∆rxnG° (in KJ/mole) for a mole of an ideal gas as pressure changes from 0.1 Pa to 1×10^5 Pa?
If the initial temperature of an ideal gas at 2.250 bar2.250 bar is 62.00 ∘C62.00⁢ ∘C , what final temperature would cause the pressure to be reduced to 1.550 bar1.550 bar ?
What are the following partial derivatives for an ideal gas when P, V, n, and T are variables? a) (მP / მn) V,T b) (მV / მn) P,T c) (მT / მn) P,V
1. A perfect gas undergoes compression at constant temperature, which reduces its volumeby 3.08 dm3. The final pressure and volume of the gas are 6.42 bar and 5.38 dm3, respectively. Calculate the original pressure of the gas in (a) bar, (b) atm. 2. Consider an isothermal column of an ideal gas at 25oC. What must be the molar mass ofthis gas be if the pressure is 0.80 of its ground level value at (a) 10km and (b) 1km ? Please show complete solutions
‼️Illustrate the problem ONLY: A rubberized, cubic chamber was filled with butane gas and was expanded from 3.0L to 4.5L at a pressure of 2.7atm and it absorbed 230J of heat from the surroundings. What is the change in the energy of the system? Express your answer in L atm. Assuming that the internal energy of this system is all kinetic energy and that the cube contains one mole of butane gas, what is the velocity of a single butane molecule covering a distance between the opposite corners of the expanded cube (express in m)? How long would it take to cover that distance (express in sec, use SI prefixes instead of scientific notation)? How much power can be generated by all the molecules in this cube after 1 hour? Express your answer in W. (Use the v obtained from 2b then recompute total KE) ‼️Illustrate the problem ONLY
The typical kinetic energy of molecular motion in gases at room temperature can be better represented by Group of answer choices 400 J/mol 40 J/mol 4 J/mol 4 kJ/mol 40 kJ/mol