Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Kinetic Theory

Question:

The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is : 

Options:

\(\frac{2}{5}\)

\(\frac{2}{3}\)

\(\frac{2}{7}\)

\(\frac{1}{3}\)

Correct Answer:

\(\frac{2}{5}\)

Explanation:

The process is isobaric :

dQ = n Cp dT = n \(\frac{5}{2}R\) dT

dW = P dV = n R dT

\(\frac{dW}{dQ}\) = \(\frac{n R dT}{n (\frac{5}{2} R) dT}\) = \(\frac{2}{5}\)