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Arrange the following gases in increasing order of van der Waals constant 'a'
(A) Ar
(B) CH$$_4$$
(C) H$$_2$$O
(D) C$$_6$$H$$_6$$
Choose the correct option from the following.
The van der Waals constant $$a$$ measures the magnitude of intermolecular attractive forces.
Stronger intermolecular forces $$\Rightarrow$$ larger value of $$a$$.
Given gases:
$$Ar,\ CH_4,\ H_2O,\ C_6H_6$$
Analysis:
For argon: $$Ar$$
Being a noble gas, it has very weak intermolecular forces.
Hence it has the smallest value of $$a$$.
For methane: $$CH_4$$
Non-polar molecule with weak van der Waals forces, but stronger than Ar.
For water: $$H_2O$$
Strong hydrogen bonding is present, so intermolecular attraction is much larger.
For benzene: $$C_6H_6$$
Large molecular size and highly polarizable electron cloud produce very strong intermolecular attractions.
Hence benzene has the largest value of $$a$$.
Therefore the increasing order of van der Waals constant $$a$$ is:
$${Ar < CH_4 < H_2O < C_6H_6}$$
Hence, Option D is correct
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