Chapter 6, Problem 6.5P

i) Use the thermodynamic identity for a P-V-T system and the equation of state to show that the entropy change of one mole of an ideal gas of vibrating diatomic molecules, as volume and temperature are changed, is given by; 7 AS = S(V;,T;) – S(V;, T;) = ;Rln + Rln T ii) The gas undergoes an isobaric compression from V; to V;/2. Evaluate the change in the number of microstates of the system that occurs as a result. ii) Using the equation derived in i), demonstrate that for an ideal gas undergoing an adiabatic expansion from initial volume V; to final volume V; the change in entropy is zero.

Topic: Ideal gas process Instructions: Answer the following review questions and show complete solutions. *please write legibly. Thank you

Q.1 A insulated container is divided into two parts ,one containing the oxygen and other nitrogen at same temperature and pressure. The number of kilo moles of each is 2 and 4 respectively. The partition is removed and the gas is allowed to mix. What is the entropy generated in the process? A 31.751 kJ/K В -37.751 kJ/K C C 24.751 kJ/K D -24.751 kJ/K

4. Choose the correct statement/s with respect to entropy change during a process a. Entropy increases with increase in pressure at constant temperatureb. Entropy increases with increase in temperature at constant pressurec. Entropy can be kept constant by systematically increase both pressure and temperatured. Entropy can not be changed

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Question #2 For the following processes, find the changes in h  as appropriate. The initial state pressure is p1 = 0.5 MPa. the final state is 2.   a.  constant volume :                   v1 = 0.3 m3/kg,            p2 = 0.3 MPa; b. constant entropy :                    s1 = 6.3 kJ/kg K,        p2 = 0.15 MPa; c. constant volume :                    h1 = 2500 kJ/kg,          p2 = 0.2 MPa; d. constant enthalpy :                 s1 = 6.4 kJ/kg K,        p2 = 0.2 MPa;

C6 2.

5) A fluid fits the following equation of state.   a= 10-3 m3K/(bar*mol) ve b = 8*10-5 m3/molFor this fluid, the average Cp value between 0-300 0C at 1 bar is 33.5 J / mol.K.a) Calculate the average Cp value in the 0-300 0C temperature range for 12 barpressure.b) Calculate the enthalpy and entropy change when the fluid is brought from 4 bar and300 K to 12 bar and 400 K.

Step by step question please I only have 1 attempt thank you.