Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Kinetic Theory

Question:

During an adiabatic process, the pressure of a gas found to be proportional to the cube of its temperature. The ratio of \(\frac{C_P}{C_V}\) for the gas is : 

Options:

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

\(\frac{4}{3}\)

2

\(\frac{5}{3}\)

Correct Answer:

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

Explanation:

P ∝ $T^3$

PV=nRT and P∝ (PV)3

P2V3 = constant ⇒ PV3/2 = constant

thus, \(\gamma = \frac{3}{2}= \frac{C_P}{C_V}\)