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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

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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Knowledge Check

  • 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

    A
    `(1 - (a)/(RTV))`
    B
    `(1- (RTV)/(a))`
    C
    `(1+ (a)/(RTV))`
    D
    `(1+ (RTV)/(a))`
  • In the van der Waals equation

    A
    `b` is the volume occupied by the gas molecules
    B
    `b` is four times the volume occupied by the gas molecules
    C
    `b` is the correction factor for intermolecular attraction
    D
    None of these
  • At low pressure, the van der Waals equation is reduced to

    A
    `Z = (PV_m)/(RT) =1-(a)/(RTV_m)`
    B
    `Z = (PV_m)/(RT) = 1+(bP)/(RT)`
    C
    `PV_m = RT`
    D
    `Z=(PV_m)/(RT)=1- (a)/(RT)`