First slide

Work done by gas

Question

A monoatomic ideal gas is supplied the heat Q very slowly keeping the pressure constant. Then work done by the gas will be

Moderate

A

$\frac{3 Q}{5}$
B

$\frac{2 Q}{5}$
C

$\frac{Q}{3}$
D

$\frac{5 Q}{7}$

Solution

$\begin{array}{l} C_{P} = \frac{5 R}{2} and C_{V} = \frac{3 R}{2} \\ ∴ \frac{Δ U}{Q} = \frac{n . C_{V} . ΔT}{n . C_{P} . ΔT} = \frac{3}{5} \Rightarrow Δ U = \frac{3 Q}{5} \\ ∴ W = Q - Δ U = Q - \frac{3 Q}{5} = \frac{2 Q}{5} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App