The gas in a vessel is subjected to a pressure of 20 atm 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

Question

The gas in a vessel is subjected to a pressure of 20 atm 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

Tardigrade Admin · Accepted Answer

Apply pV = μ RT = (m/M) RT 20 × V = (m/M) × R × 300 ...(i) p' × V = Bigg( ( (m/2)/M) Bigg) R × 350 ...(ii) From Eqs. (i) and (ii), we get p' = (140/12) ≈ 11.7 atm

Q. The gas in a vessel is subjected to a pressure of 20 atm at a temperature 27 $^{\circ}$ 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 $^{\circ}$ C is

8.5 atm

10.8 atm

11.7 atm

17 atm

Apply pV = $μ RT = \frac{m}{M} RT$
$20 \times V = \frac{m}{M} \times R \times 300 ... (i)$
$p^{'} \times V = (\frac{\frac{m}{2}}{M}) R \times 350 ... (ii)$
From Eqs. (i) and (ii), we get
$p^{'} = \frac{140}{12} \approx 11.7 a t m$

Q. The gas in a vessel is subjected to a pressure of 20 atm 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