As shown in Example Problem 3 5, (U m V) T a V 2 m for a van der Waals gas In this problem, you will compare the change in energy with temperature and volume for N 2 , treating it as a van der Waals gas a Calculate U per mole of N 2 (g) at 1 bar pressure and 298 K if the volume is increased by 1 00...

a From Example Problem 35 b U V C Vm T C Pm RT 2912 J m ...

As shown in Example Problem 3.5, (U m /V) T a/V 2 m for a van der

Question:

As shown in Example Problem 3.5, (∂U_m/∂V)_T a/V²_m for a van der Waals gas. In this problem, you will compare the change in energy with temperature and volume for N₂, treating it as a van der Waals gas.

a. Calculate ΔU per mole of N₂(g) at 1 bar pressure and 298 K if the volume is increased by 1.00% at constant T.

b. Calculate ΔU per mole of N₂(g) at 1 bar pressure and 298 K if the temperature is increased by 1.00% at constant V.

c. Calculate the ratio of your results in part (a) to the result in part (b). What can you conclude about the relative importance of changes in temperature and volume on ΔU?

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