Derive expressions for the largest mass that can be lifted through a height h in the surroundings in these processes.

CHEM 301 Physical Chemistry I Homework 1- Chapters 1-2 1. Calculate the value of CP at 298 K and 1 atm pressure predicted for CH4(g) and C2H4(g) by the classical equipartition theorem. Compare the predicted results with the experimental results and calculate the percent of the measured value that arises from vibrational motions. Repeat the calculations at 800 K and 1 atm using the relation below: Cp, m ( J mol.K) =A(1)+A(2) T K +A(3) T 2 K 2 +A(4) T 3 K 3 You may get the values of A’s from Table 5 in Chapter 2. 2. An ideal gas undergoes an expansion from the initial state described by Pi, Vi, T to a final state described by Pf, Vf, T in (a) a process at the constant external pressure Pf, and (b) in a reversible process. Derive expressions for the largest mass that can be lifted through a height h in the surroundings in these processes.

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