Change in entropy-enthalpy and internal energy

Question

Question 1: Derive an expression to arrive at a relation C_p - C_v = R.

Question 2: Define with a layout the given:

a) Refrigerator.
b) Heat Engine.
c) Heat pump.

Question 3: Derive an expression to find out the equation for the Change in enthalpy.

Question 4: Derive an expression to arrive at an expression for the change in internal energy.

Question 5: Define the term entropy? Derive an expression for the change in entropy in terms of different parameters like Pressure, Volume and Temperature.

Question 6: Derive an expression to find out:

a) Work done.
b) Heat transfer.
c) Change in Internal energy.
d) Change in Enthalpy.
e) Change in Entropy and pVT relations in an Isochoric process.

Question 7: Derive an expression to find out the heat transfer, work done and change in entropy in a polytropic process.

Question 8: Define with a layout the given:

a) Refrigerator.
b) Heat Engine.
c) Heat pump.

Question 9: Derive an expression to find out the equation for the Change in enthalpy.

Question 10: Derive an expression to arrive at an expression for change in internal energy.

Question 11: Air occupies a space of 0.3 m³ at a pressure of 2 bar and a temperature of 80^o C. It is heated at constant volume, until pressure is 8 bar. Find out:

a) Temperature at the end of process.
b) Mass of air.
c) Change in internal energy change in enthalpy.
d) Change in entropy throughout the process.

Question 12: 1 kg of gas with initial volume 2.5 m³ is heated at constant pressure from 25 ^oC to 220 ^oC. Estimate heat added, work done, change in internal energy, change in enthalpy, change in entropy. As well compute the final pressure and final volume. Take C_p = 0.984 kJ/kg K; C_v = 0.728 kJ/kg K.