One of the approach to the study of real gases involves the analysis of a parameter Z called the compressibility factor `Z=(PV_(m))/(RT)` where P is pressure, `V_(m)` is molar volume, T is absolute temperature and R is the universal gas constant . Such a relation can also be expressed as `Z =((V_("m real"))/(V_("m ideal")))` (where `V_("m ideal ")` and `V_("m real")` are the molar volume for ideal and real gas respectively) . Gas corresponding `Z gt 1` have repluive tendenciesamong constituent particles due to their size factor, among constitutent particles . As the pressure is lowered or temperature is increased the value of Z approaches 1. ( reaching the ideal behaviour)
For a real gas `'G'Z gt 1` at STP then for `'G'` which of the following is true

Options

A. 1 mole of the gas occupies 22.4 L at NTP
B. 1 mole of the gas occupies 22.4 L at pressure higher than that at STP (keeping temperature constant)
C. 1 mole of the gas occupies 22.4 L at pressure lower than that at STP ( keeping temperature constant)
D. None of the above

Answer

B

Explanation

`Z=(PV_(m))/(RT) gt 1`
`(PV_(m))/(RT)= (1xx22.4)/(R xxT ) `
At same pressure `=1` atm
`(1xxV_(m))/(RT) gt (1 xx 22.4)/(R xx T ) implies V_(m) gt 22.4 L ` at STP for real gas.
For `V_(m) = 22.4 L` of real gas , we have to increase the pressure.