In this question, we derive the entropy of an Ideal Gas. a) By considering a constant volume process, show that the First Law, dE = dQ - dW can be written as nCvdT = dQ - dW. b) Using the Ideal Gas Law, show that this expression can be written as nCv dT = dQ - nRT dV c) By dividing by T, and defining dS = as usual, show that the change in entropy, AS, can be written as: AS - SE T = nCv In T. If + nRIn Vi