MolSynapsequestion bank

MolSynapse / Question bank / Real Gases / van der Waals equation and its constants

JEE Advanced levelSingle correct optionDifficulty 3 of 3rg131

A gas obeys $P (V_{m} - b) = RT$ (van der Waals equation with $a = 0$ ). Which statement about this gas is correct?

AIt has a Boyle temperature equal to $b / R$
BIts compressibility factor is always greater than 1 and increases linearly with $P$
CIt can be liquefied below a certain temperature
DIts $Z$ versus $P$ curve passes through a minimum

Answer: B

With

a = 0

:

P V_{m} = RT + P b

, so

Z = 1 + P b / RT

, always above 1 and linear in

P

at every temperature. There is no attraction, so no minimum, no Boyle temperature (the slope never vanishes) and no liquefaction.

Practice Real Gases More on van der Waals equation and its constants

Previous questionNext question

More questions on van der Waals equation and its constants