A vessel contains two non-reactive gases neon (monatomic) and oxygen (diatomic). The ratio of their partial pressures is 3 : 2 . the ratio of number of molecules is

Step-by-step solution

As partial pressure of a gas in a mixture is the pressure it would exert for the same volume and temperature, if it alone occupied the vessel, therefore, for common V and T , P 1 and P 2 are partial pressures P 1 V = μ 1 RT and P 2 V = μ 2 RT Here, 1 and 2 refer to neon gas and oxygen gas respectively Now, P 1 P 2 = μ 1 μ 2 ⇒ μ 1 μ 2 = 3 2 ( given P 1 P 2 = 3 2 ) If N 1 and N 2 are number of molecules of two gases, then ∴ N 1 N 2 = μ 1 μ 2 = 3 2 , where μ 1 = N 1 N A and μ 2 = N 2 N A