Q. The van der Waals' equation of state for some gases can be expressed as:
$\left(P+\frac{a}{V^{2}}\right)(V-b)=R T$
where $P$ is the pressure, $V$ is the molar volume, and $T$ is the absolute temperature of the given sample of gas and $a, b$, and $R$ are constants.
The dimensions of constant $b$ are

Physical World, Units and Measurements Report Error

A

$M L^{s} T^{-2}$

8%

B

$M L^{-1} T^{-2}$

28%

C

$L^{3}$

55%

D

$L^{6}$

10%

Solution:

$[b]=[V]=\left[L^{3}\right]$

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