Question

One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature T. If the temperature is increased by 1 K keeping pressure constant, the increase in volume is

• A. $\frac{2V}{273}$
• B. $\frac{V}{91}$
• C. $\frac{V}{273}$
• D. V

Answer 1

Answer: (C)

$\frac{V}{273}$

Answer 2

For isobaric process

$\frac{V_{2}}{V_{1}} = \frac{T_{2}}{T_{1}} \Rightarrow V_{2} = V \times \frac{274}{273}$

Increase $= \frac{274\mspace{6mu} V}{273} - V = \frac{V}{273}$