All pressures quoted are absolute pressures. Assume air has the following\ thermodynamic properties:

c_(p)=1005.2(J)/(k)gK,c_(v)=718(J)/(k)gK

\ Question 1\ a) Define the following processes, and sketch a p-V diagram for each: Isochoric,\ Isentropic and Isothermal\ [6 marks]\ b) A thermally insulated rigid container is divided into two equally sized\ compartments. Each compartment contains air which behaves as an ideal\ gas. One compartment is at 2 bar and

27\\\\deg C

, the other is at 5 bar and

127\\\\deg C

.\ The partition between the compartments is then ruptured. Calculate the final\ temperature and pressure of the air in the container.\ [12 marks]\ c) A closed system, consisting of a cylinder and frictionless piston, contains

1kg

\ of a perfect gas having a molecular weight of

26(g)/(m)ol

. The piston is loaded\ so that the pressure in the system is constant at

200kPa

. The system\ undergoes a process such that the volume changes from

0.5m^(3)

to

1.0m^(3)

.\ (i) Find the heat transferred in this process assuming that\

Cp=1.08k(J)/(k)gK

\ (ii) Sketch a pressure- volume graph of the process

All pressures quoted are absolute pressures. Assume air has the following thermodynamic properties: cp=1005.2J/kgK,cv=718J/kgK Question 1 a) Define the following processes, and sketch a p-V diagram for each: Isochoric, Isentropic and Isothermal [6 marks] b) A thermally insulated rigid container is divided into two equally sized compartments. Each compartment contains air which behaves as an ideal gas. One compartment is at 2 bar and 27C, the other is at 5 bar and 127C. The partition between the compartments is then ruptured. Calculate the final temperature and pressure of the air in the container. [12 marks] c) A closed system, consisting of a cylinder and frictionless piston, contains 1kg of a perfect gas having a molecular weight of 26g/mol. The piston is loaded so that the pressure in the system is constant at 200kPa. The system undergoes a process such that the volume changes from 0.5m3 to 1.0m3. (i) Find the heat transferred in this process assuming that Cp=1.08kJ/kgK [5 marks] (ii) Sketch a pressure- volume graph of the process [2 marks]