The ratio of heat absorbed and work done by the gas in the process, as shown is 5/2. Find the parameters representing x and y axes.
Find the value of : \(\gamma = \frac{C_p}{C_v}\)
Answer & explanation
Correct answer: option 4
Straight line represents the constant pressure :
W12 = 0
\(dQ = n C_p dT \Rightarrow dU = n C_v dT\)
\(dW = n(C_P-C_V)dT\)
\(\frac{dQ}{dW} = \frac{5}{2} = \frac{nC_P dT}{n(C_P-C_V)dT}\)
\(\frac{dQ}{dW} = \frac{1}{1 - \frac{C_V}{C_P}} = \frac{\gamma}{\gamma - 1}\)
\(\gamma = \frac{5}{3} = 1.66\)