Q 11-12-011NEETJEE MainEAMCET 2011 (Medical)Easy
The gas in a vessel is subjected to a pressure of $20$ atm at a temperature of $27°$C. 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 $50°$C is
Answer: (B) $11.7$ atm
Concept. At constant volume, $P \propto nT$.
Step 1. Substitute. Half the gas, $T$ from $300$ K to $350$ K:
$$P_2 = 20 \times \frac12 \times \frac{350}{300} \approx 11.7\ \text{atm}$$
Answer. $11.7$ atm (Option B).
Solution by Sreeraj P, M.Sc Physics