Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Thermodynamics

Question:

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 : \(\gamma = \frac{C_p}{C_v}\)

Options:

1.4

1.5

1.60

1.66

Correct Answer:

1.66

Explanation:

Straight line represents the constant pressure :

W12 = 0

\(dQ = n C_p dT \Rightarrow dU = n C_v dT\)

\(dW = n(C_P-C_V)dT\)

\(\frac{dQ}{dW} = \frac{5}{2} = \frac{nC_P dT}{n(C_P-C_V)dT}\)

\(\frac{dQ}{dW} = \frac{1}{1 - \frac{C_V}{C_P}} = \frac{\gamma}{\gamma - 1}\)

\(\gamma = \frac{5}{3} = 1.66\)