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# HW4 - Problem Set 4 Due by Oct 30 before class Problem 1...

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Problem Set 4: Due by Oct. 30 before class Problem 1. One mole of ideal gas is compressed isothermally from 1 to 5 bar at 100 C. (a) What is the Gibbs energy change, G ? (b) What would have been the Gibbs energy change if the compression had been carried out at 0 C? Problem 2. In class, we derive one of the Maxwell relations. Derive all the four Maxwell relations. (a) P T T V P S (b) V S S P V T (c) P S S V P T (d) V T T P V S Problem 3. The Gibbs free energy of a gas is given by 2 T c T b a T G where a , b and c are constants. Derive expressions for U , H , S and A of this gas. Problem 4. Derive an expression for the entropy change ( S ) of isothermal expansion of 1 mole of van der Waals gas. The volume of this gas changes from V

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