A vessel contains 1 g of oxygen at a pressure of 10 atm and a temperature of 47 ° C . It is found that because of a leak, the pressure drops to 5 8 t h of its original value and the temperature falls to 27 ° C . Find the mass of oxygen that is leaked out.

Question

A vessel contains 1 g of oxygen at a pressure of 10 atm and a temperature of 47 ° C . It is found that because of a leak, the pressure drops to 5 8 t h of its original value and the temperature falls to 27 ° C . Find the mass of oxygen that is leaked out., 1 3 g, 1 48 g, 1 g, 2 3 g

MARKS App · Accepted Answer

The pressure, temperature and the number of moles of oxygen in the vessel change due to leak, while the volume remains fixed. Hence using P V = n R T , we have P 1 n 1 T 1 = P 2 n 2 T 2 ⇒ n 2 = 320 300 × 5 8 × 1 32 = 1 48 moles Mass leaking out = 1 - n 2 32 = 1 - 2 / 3 = 1 3 g

Search any question & find its solution

Looking for more such questions to practice?