In Vander Waals equation left[ P +frac{ a }{ V ^{2}}right][ V - b ]= RT ; P is pressure, V is volume

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1.Units, Dimensions and Measurement

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In Vander Waals equation $\left[ P +\frac{ a }{ V ^{2}}\right][ V - b ]= RT$; $P$ is pressure, $V$ is volume, $R$ is universal gas constant and $T$ is temperature. The ratio of constants $\frac{a}{b}$ is dimensionally equal to .................

A

$\frac{P}{V}$

B

$\frac{ V }{ P }$

C

$PV$

D

$PV ^{3}$

(JEE MAIN-2022)

Solution

By principle of homogenity

${[ P ]=\left[\frac{ a }{ v ^{2}}\right] \text { and }[ b ]=[ v ]}$

$\Rightarrow\left[\frac{ a }{ b }\right]=[ PV ]$

Standard 11

Physics

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