Derive an expression for (∂S/∂P)T of an ideal gas. Then determine (∂S/∂P)T o for a sample containing 2.00 mol Ne (ideal gas) at 1.50 atm and 298 K. (answers: (∂S/∂P)T = -nR/P; -11.1 J/atmK)

F 8. A 3.50 mole sample of an ideal gas with Cv= 3R/2 undergoes reversible expansion. The initial temperature and pressure are T1 = 310 K and P1 = 15.2 bar. The final pressure is P2 = 1.45 bar. Calculate ΔU in kJ for this process. (First calculate T2) Please show all steps.

For each of the following processes would AS° be expected to be negative or positive? Why? 0:(g) + 2H:(g) 2H;0(g) H;O() H;0(s) NH:(g) + HCI3) NHCI(g) 2NH,NO:(s) 2N2(g) + 0:(g) + 4H;0(g) N204(g) → 2NO:(g)

Calculate q, w, AE, and AH for the process in which 89.8 g of nitrous oxide gas (N₂O) is cooled from 166°C to 49°C at constant pressure of 5.03 atm. (See the table of Molar Heat Capacities for relevant data.) 9 W ΔΕ ΔΗ KJ E KJ KJ