Solveeit Logo

Question

Question: An experiment is carried on a fixed amount of gas at different temperatures and at high pressure suc...

An experiment is carried on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of PVRT\frac{PV}{RT} with P is shown in the diagram. The correct variation will correspond to

A

(a) Curve A

B

Curve B

C

Curve C

D

Curve D

Answer

Curve B

Explanation

Solution

(DQ)V = const. = m Cv dT

= 2 × 3R2\frac{3R}{2} × (– 150) ...(1)

(DQ)P = const. = 2 × 5R2\frac{5R}{2}× 150 ...(2)

Total heat absorbed

Q = (DQ)P= const. + (DQ)V = const.

= (750 – 450) 8.3 = 300 × 8.3 = 830 × 3

= 2490 J = 2500 J