Question

The gas in a vessel is subjected to a pressure of 20 atmosphere at a temperature 27⁰C. The pressure of the gas in the vessel after one half of the gas is released from the vessel and the temperature of the remainder is raised by 50⁰C, is –

• A. 8.5 atm
• B. 10.8 atm
• C. 11.7 atm
• D. 17 atm

Answer 1

Answer: (C)

11.7 atm

Answer 2

From Ideal gas equation PV ∝ mT or

P µ mT as V = const

$\frac{P_{1}}{P_{2}} = \frac{\mu_{1}}{\mu_{2}} \times \frac{T_{1}}{T_{2}}$

$\frac{20}{P_{2}} = \frac{\mu_{1}}{0.5\mu_{1}} \times \frac{300}{350}$

P₂ = $\frac{3500}{300} = 11.67$ atm