At low pressures, van der Waals' equation is written as `(P+(a)/(V^(2)))V=RT`.The compressibility factor is then equal to:

Options

A. `(1-(a)/(RTV))`
B. `(1-(RTV)/(a))`
C. `(1+(a)/(RTV))`
D. `(1+(RTV)/(a))`

Explanation

`[P+(a)/(V^(2))]V=RT`
`PV+(a)/(V)=RT`
`(PV)/(RT)+(a)/(RTV)=1`
`(PV)/(RT)=Z` (compressibility factor)
`=(1-(a)/(RTV))`