A vessel has 6 g of oxygen at pressure P and temperature 400 K . A small hole is made in it so that oxygen leaks out. How much oxygen leaks out if the final pressure is P 2 and temperature is 300 K ?

Step-by-step solution

From ideal gas equation, P V = n R T ⇒ P V = m M R T ⇒ P ∝ m T ⇒ m ∝ P T ⇒ m 2 m 1 = P 2 P 1 × T 1 T 2 ⇒ m 2 m 1 = P 2 P × 400 300 ⇒ m 2 m 1 = 2 3 Final mass, ⇒ m 2 = 2 3 × m 1 = 2 3 × 6 ⇒ m 2 = 4   g Leaked out mass = 6 - 4 = 2   g