Question

A cylinder contains 10 kg of gas at a pressure of 107 N m–2. The quantity of gas taken out of the cylinder, if final pressure is 2.5 × 106 N m–2 is

• A. 9.5 kg
• B. 7.5 kg
• C. 14.2 kg
• D. Zero

Answer 1

Answer: (B)

7.5 kg

Answer 2

$\frac{P_{1}}{P_{2}} = \frac{\rho_{1}}{\rho_{2}} = \frac{m_{1}}{m_{2}}$

$m_{2} = \frac{P_{2}}{P_{1}} \times m_{1} = \frac{2.5 \times 10^{6}}{10^{7}} \times 10 = 2.5kg$

Mass of gas taken out $= 10 - 2.5 = 7.5kg$