The compressibility factor (Z) for a real gas under high pressure is :

Options

A. `1 +RT//pb`
B. 1
C. `1+pb//RT`
D. `1-pb//RT`

Answer

C

Explanation

`(P+(a)/(V^(2))) (V-b) = RT` ltbr. At high pressure `(a)/(V^(2))` can be neglected.
`PV - Pb = RT`
`PV = RT +Pb`
`(PV)/(RT) = 1+(Pb)/(RT)`
`Z = 1 +(Pb)/(RT) :. Z gt 1` at high pressure