Which of the following gases follows non-ideal behaviour?

Options

A. `N_(2)` gas having density `1.25g" L"^(-1)` at STP
B. 2.8 g CO gas in 0.1 L flask exerting a pressure of 24.63 atm at 300 k
C. 1.6 g `CH_(4)` in 0.5 L flask at 273 K exerting a pressure of 4 atm
D. 0.1 g `H_(2)` gas at STP occupies volume of 1.12 L

Answer

C

Explanation

Non-ideal behaviour is followed if `pVnenRT`
`p=(n)/(V)RT=(w)/(mV)RT=(dRT)/(m)`
LHS,p=1 atm
`RHS,(dRT)/(m)=(1.25g" L"^(_1)xx0.0821" L "atm " mol"^(-1)K^(_1)xx273K)/(28g" mol"^(-1)`
Thus, `p=(dRT)/(m)=1`
Thus, ideal behaviour
`pV=nRT`
`24.63xx0.1=(2.8)/(2.8)xx0.0821xx300 `
`2.463=2.463`
Thus,ideal behaviour
`pV=nRT`
`4xx0.5=(1.6)/(16)xx0.0821xx273`
2=2.24
Thus,`pVnenRT`
Thus, non-ideal behaviour
`0.1 g H_(2)=0.05 " mol "H_(2)`
`=0.05xx22.4L` at STP=1.12 L at STP
Thus,ideal behaviour.