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 : \(\gamma = \frac{C_p}{C_v}\) |
1.4 1.5 1.60 1.66 |
1.66 |
Straight line represents the constant pressure : W12 = 0 \(dQ = n C_p dT \Rightarrow dU = n C_v dT\) \(dW = n(C_P-C_V)dT\) \(\frac{dQ}{dW} = \frac{5}{2} = \frac{nC_P dT}{n(C_P-C_V)dT}\) \(\frac{dQ}{dW} = \frac{1}{1 - \frac{C_V}{C_P}} = \frac{\gamma}{\gamma - 1}\) \(\gamma = \frac{5}{3} = 1.66\) |