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JEE Main levelSingle correct optionDifficulty 2 of 3rg104

The virial coefficients $B$ and $B^{'}$ of the two forms $Z = 1 + B / V_{m}$ and $Z = 1 + B^{'} P$ have the units respectively

A $L mo l^{- 1}$ and $at m^{- 1}$
B $at m^{- 1}$ and $L mo l^{- 1}$
Cboth $L mo l^{- 1}$
Dboth dimensionless

Answer: A

Since

Z

is dimensionless,

B / V_{m}

requires

B

in units of

V_{m}

(

L mo l^{- 1}

) and

B^{'} P

requires

B^{'}

in inverse pressure (

at m^{- 1}

). They are related by

B^{'} = B / RT

.

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