Topic: Thermodynamics
A well insulated vessel containing air is heated to double the pressure and temperature 150% in excess of initial. The amount of air that leaked is
- A. 20%
- B. 22.5%
- C. 25%
- D. 0%
Answer: C. 25%
Explanation: For an ideal gas P1*V1/T1 = P2*V2/T2. Given P2 = 2*P1 and T2 = 1.5*T1. P1*V1/T1 = 2*P1*V2 / 1.5*T1. This gives V1 = (4/3)V2. The amount of air leaked is (V1 - V2)/V1 % = (V1 - 0.75V1)/V1 = 25%.