At T ( K ) , a gaseous mixture containing H ₂, He and O ₂ exerted a pressure of 1 bar. The weight percentage of H ₂ and He is 20 and 16 respectively. The partial pressure (in bar) of H ₂, He and O ₂ is respectively

Step-by-step solution

P_ total =1 bar , Let total mass =100 ~g aligned & W ( H ₂ )=20 ~g , ~W ( He )=16 ~g , ~W ( O ₂ )=64 ~g & n ( H ₂ )= 20 2 =10 ~mol & n ( He )= 16 4 =4 ~mol & n ( O ₂ )= 64 32 =2 ~mol & x ( H ₂ )= 10 10+4+2 = 10 16 =0.625 & x ( He )= 4 16 =0.250 aligned aligned & x ( O ₂ )= 2 16 =0.125 & P ( H ₂ )= x _ H ₂ P _ total =0.625 1=0.625 & P ( He )=0.25 and P ( O ₂ )=0.125 aligned