DeltaG and DeltaA calculation for heating a gas at constant volume

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The discussion focuses on calculating the change in Gibbs Energy (DeltaG) and Helmholtz Energy (DeltaA) for 0.1 mol of an ideal gas heated from 20°C to 120°C at constant volume. The user is struggling with the second term in the differential equations for both energies, as typical textbook examples involve constant temperature. The conversation shifts to clarifying whether the problem is homework-related, but the user confirms it's self-study from an old thermodynamics textbook. Participants suggest using the equations Delta G = Delta H - Delta (TS) and Delta A = Delta U - Delta (TS) to approach the problem. The thread emphasizes the need for a clear understanding of thermodynamic principles in non-constant temperature scenarios.
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Summary:: Gibbs and Helmholtz energies calculations for heating an ideal gas at constant volume

I am solving a problem involving an ideal gas that undergoes several chained changes of state. One of the steps asks to calculate the change in Gibbs Energy (DeltaG) and Helmholtz energy (Delta A) for 0.1 mol of the gas being heated from 20 oC to 120 oC at constant volume. The initial volume is 4.0 L. I am stuck here.

In natural variables dG is given by dG=VdP-SdT. The first term is easily calculated by replacing V by nRT/P and integrating.The second term is what I don't know what to do with it. Every textbook that I have checked so far have examples where T is constant so the second term is not an issue but not in this problem. The same problem is also found with Helmholtz energy: dA=-PdV - SdT. The first term is zero because dV=0 but then I am stuck again with the second term.

Any help is greatly appreciated!
 
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Is this a homework problem?
 
Hello. Not really. It is a problem that I am solving on my own from an old textbook in Thermodynamics.
 
zacc said:
Hello. Not really. It is a problem that I am solving on my own from an old textbook in Thermodynamics.
Well, anyway, homework-like problems are considered homework problems, so I am moving it to a homework forum.

Can you please provide an exact word-for-word statement of the problem?

Is the gas mono-atomic, diatomic, or something else?

You should be using ##\Delta G=\Delta H-\Delta (TS)## and ##\Delta A=\Delta U-\Delta (TS)##
 
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