1. Tardigrade
  2. Question
  3. Physics
  4. A P-V graph for an ideal gas undergoing polytropic process P Vm= Constant is shown below. Find the value of m.

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A $P-V$ graph for an ideal gas undergoing polytropic process $P V^{m}=$ Constant is shown below. Find the value of $m$.Physics Question Image

Kinetic Theory

Solution:

Slope $=-\frac{\gamma P}{V}=-\tan 37^{\circ}$
$ \Rightarrow \frac{m P}{V}=\tan 37^{\circ}$
$\Rightarrow m=\left(\frac{V}{P}\right)\left(\frac{3}{4}\right)$
$=\left(\frac{4 \times 10^{5}}{2 \times 10^{5}}\right)\left(\frac{3}{4}\right)$
$=\frac{3}{2}=1.5$