a. For a reversible process involving ideal gases in a closed system, Illustrate that
ΔS = C_{v} ln(T_{2}/T_{1}) for a constant volume process
ΔS = C_{p} ln(T_{2}/T_{1}) for a constant pressure process
ΔS = R ln(V_{2}/V_{1}) = R ln(P_{1}/P_{2}) for an isothermal process
b. Determine the change in entropy when 2 kg of a gas at 277 K is heated in a closed vessel to a temperature of 368 K. Taking specific heat at constant volume to be 1.42 KJ/Kg.K
c. Compute the entropy change when 1 kmol of an ideal gas at 300 K and 10 bar expands to a pressure of 1 bar if the temperature remains constant.
d. What is the change in entropy when 1 kmol of an ideal gas at 335 K and 10 bar is expanded irreversibly to 300 K and 1 bar? C_{p} = 29.3 KJ/(kmol K)