Q. During an adiabatic process, the cube of the pressure is found to be inversely proportional to the fourth power of the volume. Then the ratio of specific heats is
A) 1
B) 1.33
C) 1.67
D) 1.4
Explanation
(b) Equation of an adiabatic process is
$pV^{\gamma} = constant$ ---(i)
Given, $P^{3} = \frac{k}{V^{4}}$
$p^{3}V^{4} = k\ \ \ \ \ \ \ \ \ \ \ \ \ \ (constant)$
$\Rightarrow \ \ \ pV^{4/3} = k$ ----(ii)
Comparing Eqs. (i) and (ii), we get
$\gamma = \frac{4}{3} = 1.33$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.