One litre of oxygen at a pressure of 1 ~atm and two litres of nitrogen at a pressure of 0.5 ~atm , are introduced into a vessel of volume 1 ~L . If there is no change in temperature, the final pressure of the mixture of gas (in atm) is

Step-by-step solution

Ideal gas equation is given by p V=n R T For oxygen, p=1 ~atm , V=1 ~L , n=n_ O Therefore Eq. (i) becomes aligned & & 1 1 & =n_ O ₂ R T & & n_ O ₂ & = 1 R T aligned For nitrogen p=0.5 ~atm , V=2 ~L , n=n_ N array rlrl & & 0.5 2 & =n_ N ₂ R T & n_ N ₂ & = 1 R T array For mixture of gas array rlrl & & p_ mix V_ mix & =n_ mix R T Here, & n_ mix & =n_ O +n_ N ₂ & & p_ mix V_ mix R T & = 1 R T + 1 R T & & p_ mix V_ mix & =2 array Here,