Question

0.05 kg of carbon dioxide (molecular weight 44), occupying a volume of 0.03m3 at

1.025bar , is compressed reversibly until the pressure is 6.15bar. calculate the final

temperature the work done on the CO2 and the heat flow to or from the cylinder walls ,

1- when the process is according to the law p.ν1.4 = constant , 2- when the process is

isothermal , assume carbon dioxide to be a perfect gas , and take γ = 1.3

Answer 1

1.

$A=\frac{p_1V}{\gamma-1}(1-(\frac{p_1}{p_2})^{1-\frac 1{\gamma}})=3.1~kJ,$

2.

$A=p_1V_1\ln\frac {p_1 }{p_2}=5.5~kJ.$