The unit of the van der Waals gas equation parameter 'a' in ( P +( an 2/ V 2))( V - nb )= nRT is :

Question

The unit of the van der Waals gas equation parameter 'a' in ( P +( an 2/ V 2))( V - nb )= nRT is : (A) kg m s -2 (B) dm 3 mol -1 (C) kg m s -1 (D) atm dm 6 mol -2

Tardigrade Admin · Accepted Answer

( an 2/ V 2)= atm ⇒ a = atm × ( dm 6/ mol 2)

Q. The unit of the van der Waals gas equation parameter ' $a$ ' in $(P + \frac{a n ^{2}}{V ^{2}}) (V - nb) = n RT$ is :

$k g m s^{- 2}$

$d m^{3} m o l^{- 1}$

$k g m s^{- 1}$

$a t m d m^{6} m o l^{- 2}$

$\frac{a n ^{2}}{V ^{2}} = a t m$
$\Rightarrow a = a t m \times \frac{d m ^{6}}{m o l ^{2}}$

Q. The unit of the van der Waals gas equation parameter 'a' in (P+V2an2​)(V−nb)=nRT is :

kgms−2

dm3mol−1

kgms−1

atmdm6mol−2