In the cyclic process shown in P-V diagram, the magnitude of... | CHEMISTRY - APPLICATIONS | SolveeIt | Solveeit

Today, August 24

Question

In the cyclic process shown in P-V diagram, the magnitude of the work done is :

A

$\pi\left( \frac{P_{2} - P_{1}}{2} \right)^{2}$

B

$\pi\left( \frac{V_{2} - V_{1}}{2} \right)^{2}$

C

$\frac{\pi}{4}$ (P2 – P1) (V2 – V1)

D

$\pi$ (V2 – V1)2

Answer

$\frac{\pi}{4}$ (P2 – P1) (V2 – V1)

Explanation

Solution

Process direction in V–P diagram is clockwise so, process direction in P–V diagram is anti-clockwise.

Net work done on the system = Area of the ellipse = p ×