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Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium

Chapter 18, Problem 30

An ideal gas is compressed at constant temperature. What are the signs ( + , - , or 0) of ∆H, ∆S, and ∆G for the process? Explain.

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Hello everyone today. We have the following problem at constant temperature and ideal gas undergoes expansion, determine the science positive negative or zero of the change in entropy entropy and the gibbs free energy for this process. So for ideal gasses in philippi is a function of temperature. And so since our temperature is constant, are change and are in full P is going to equal zero. Furthermore, this states that the ideal gas is going to undergo expansion and so this is going to indicate that our change in entropy is going to be greater than zero or have a positive sign. So lastly, the expansion of an ideal gas is going to increase the volume. So we're gonna have an increase in volume and thus you're going to increase the disorder. And so in this process the expansion of the ideal gas is going to be a spontaneous process, meaning our gifts for energy is going to be less than zero or have a negative sign. And so with that we have our final answers. I hope this helped. And until next time.