At low pressure the van der Waals' equat...

At low pressure the van der Waals' equation is written as .

`(PV)/(RT) = [1-(a)/(RTV)]`

`(PV)/(RT) = [1+(a)/(RTV)]`

Text Solution

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van der Waals' equation is
`[P+(a)/(V^(2))][V-b]=RT`
At low pressure volume correction (b) may be neglected Thus
`[P+(a)/(V^(2))][V-b]=RT`
or `PV+(a)/(V) =RT`
or `PV =RT [ 1 - (a)/(RTV)]` .

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At low pressures, the van der Waal's equation is written as [P + (a)/(V^(2))] V = RT The compressiblity factor is then equal to

`(1 - (a)/(RTV))`

`(1- (RTV)/(a))`

`(1+ (a)/(RTV))`

`(1+ (RTV)/(a))`

In the van der Waals equation

`b` is the volume occupied by the gas molecules

`b` is four times the volume occupied by the gas molecules

`b` is the correction factor for intermolecular attraction

None of these

At low pressure, the van der Waals equation is reduced to

`Z = (PV_m)/(RT) =1-(a)/(RTV_m)`

`Z = (PV_m)/(RT) = 1+(bP)/(RT)`

`PV_m = RT`

`Z=(PV_m)/(RT)=1- (a)/(RT)`