Question

The gas in vessel is subjected to a pressure of 20 atmosphere at a temperature 27°C. The pressure of the gas in a vessel after one half of the gas is released from the vessel and the temperature of the remainder is raised by 50°C 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

$PV = \mu RT = \frac{m}{M}RT$Ž $P \propto mT$

Ž $\frac{P_{2}}{P_{1}} = \frac{m_{2}}{m_{1}}\frac{T_{2}}{T_{1}} = \frac{1}{2} \times \frac{(273 + 27 + 50)}{(273 + 27)} = \frac{7}{12}$

Ž $P_{2} = \frac{7}{12}P_{1} = \frac{7}{12} \times 20 = 11.67atm. \approx 11.7atm$