Physics

# In van der Waal's equation $\left(P+\dfrac{a}{V^{2}}\right)(V-b)=RT$, what are the dimension of the constant of $a$ and $b$?

##### SOLUTION

$\left( P+\dfrac{a}{{{V}^{2}}} \right)(V-b)=RT$

Only the term having same unit can added.

Unit of $\dfrac{a}{{{V}^{2}}}=pascal=N{{m}^{-2}}$

$\Rightarrow \dfrac{a}{{{\left( {{m}^{3}} \right)}^{2}}}=N{{m}^{-2}}$

$\Rightarrow a=N{{m}^{4}}$

Unit of $b=volume={{m}^{3}}$

Unit of $a=N{{m}^{4}}\ and\ b={{m}^{3}}$

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Subjective Medium Published on 18th 08, 2020
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