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JEE Main levelSingle correct optionDifficulty 2 of 3rg069

The dimensions of the ratio $a / b$ of the van der Waals constants are the same as those of

Apressure
Bvolume
Cenergy per mole
Dpressure times volume squared

Answer: C

a

has units

atm L^{2} mo l^{- 2}

and

b

has units

L mo l^{- 1}

, so

a / b

has units

atm L mo l^{- 1}

, the same as

RT

, i.e. energy per mole. Indeed

a / b = 27 R T_{c} /8

and

a / R b = T_{B}

.

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