MCQ
The unit of the van der Waals gas equation parameter $'a'$ in $\left(\mathrm{P}+\frac{\mathrm{an}^{2}}{\mathrm{~V}^{2}}\right)(\mathrm{V}-\mathrm{nb})=\mathrm{n} \mathrm{RT}$ is :
  • A
    $\mathrm{kg} \,\mathrm{m} \,\mathrm{s}^{-2}$
  • B
    $\mathrm{dm}^{3}\, \mathrm{~mol}^{-1}$
  • C
    $\mathrm{kg} \,\mathrm{m}\, \mathrm{s}^{-1}$
  • $\mathrm{atm} \,\mathrm{dm}^{6} \,\mathrm{~mol}^{-2}$

Answer

Correct option: D.
$\mathrm{atm} \,\mathrm{dm}^{6} \,\mathrm{~mol}^{-2}$
d
$\frac{\mathrm{an}^{2}}{\mathrm{~V}^{2}}=\mathrm{atm} \Rightarrow \mathrm{a}=\mathrm{atm} \times \frac{\mathrm{d} \mathrm{m}^{6}}{\mathrm{~mol}^{2}}$

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