A vessel contains two non - reactive gases : neon (atomic mass = 20.2u) and oxygen (atomic mass = 32,0u). The ratio of their partial pressures is 3 : 2 Estimate the ratio of (a) number of molecule and (b) mass density of neon and oxygen in the vessel.

Explanation

Let `mu_(1) and mu_(2)` be the number of moles of Ne and `O_(2)` gases.
From the combined gas equation.
`P_(1)V_(1)=mu_(1)RT_(1) andP_(2)V_(2)=mu_(2)RT_(2) but V_(1)=V_(2),T_(1)=T_(2)`
`therefore((P_(1))/(P_(2)))=((mu_(1))/(mu_(2)))=(3)/(2)` (given)
`and((N_(1))/(N_(2)))=((mu_(1))/(mu_(2)))=(3)/(2)`
(b) `(p_(1))/(p_(2))=(m_(1)//V_(1))/(m_(1)//V_(2))=(m_(1))/(m_(2))"where"(m_(1))/(M_(1))=mu_(1)and(m_(2))/(M_(2))=mu_(2)`
`(p_(1))/(p_(2))=((mu_(1))/(mu_(2)))((M_(1))/(M_(2))) " " i.e.(p_(1))/(p_(2))=((3)/(2))((20.2))/(32.0))`
`i.e.((p_(1))/(p_(2)))=0.947`