Five lbm of air is placed in a closed, frictionless piston and cylinder arrangement. It expands alon

Five lbm of air is placed in a closed, frictionless piston and cylinder arrangement. It expands along a polytropic path for which the polytropic exponent is 1.8. The initial state state of the air is given by P1=160 psia, T1= 1400 degrees F. After the expansion process the pressure has dropped to 20 psia. For this process calculate the following information:

a) the initial volume of the air

b) the final volume of the air

c) the work performed by the air during the process

d) Sketch the path of the process on a P-v diagram.