Question

In the adjacent figure one mole of a monoatomic gas is enclosed in an adiabatic vessel by means of a tightly fitted cork. Heat is supplied to the gas at a constant rate Q = 4.5 × 10^–2 J/s, by an electric heater. At time t = 0, temperature of the gas is 27⁰C and its pressure is equal to atmospheric pressure P₀ = 10⁵ Pa. If maximum frictional force offered to the cork by the walls of the vessel is 50 N, the time when cork will come out of the vessel is. (The cross-sectional area of the vessel A = 10^–2 m². Take R = 8.3 J/mol K) –

• A. (a) 41.5 × 10² s
• B. 67.3 × 10² s
• C. 3.73 × 10² s
• D. 37.3 × 10² s

Answer 1

Answer: (C)

3.73 × 10² s

Answer 2

P = $\frac{\rho RT}{M}$ = constant