An ideal gas exerts a pressure of `1.52 MP`a when its temperature is `298.15 K` and its volume is `10^-2m^3`. (a) How many moles of gas are there ? (b) What is the mass dencity if the gas is molecular hydrogen ? ( c) What is the mass density if the gas is oxygen ?

Answer

A, B, C, D

Explanation

(a) `n = (p V)/(R T)= ((1.52 xx 10^6)(10^-2))/((8.31)(298.15)`
= `6.135`
(b) `rho = (PM)/(RT) =((1.52 xx 10^6)(2 xx 10^-3))/(8.31 xx 298.15)`
= `1.24 kg//m^3`
( c) `p prop M` (if (p) and (T) are same)
`:. rho_(O 2)/(P_(H 2))= (M_(O_2))/(M_(H_2))`
`:. rho _(O 2) = ((M_(O 2))/(M_(H 2))) rho_(H 2)`
= `((32)/2)(1.23)`
= `19.68 kg//m^3`.