For three different gases, values of van der Waals' constant $^{'} a^{'}$ and $^{'} b^{'}$ are given. What is the correct order of liquefaction of gases?
Gas $^{'} a^{'}$ $^{'} b^{'}$
$X_{2}$ 1.3 0.090
$Y_{2}$ 4.1 0.023
$Z_{2}$ 2.2 0.075

X_{2}

Y_{2}

Z_{2}

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Y_{2}

Z_{2}

X_{2}

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Z_{2}

Y_{2}

X_{2}

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X_{2}

Z_{2}

Y_{2}

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Solution

The correct option is B $Y_{2}$ > $Z_{2}$ > $X_{2}$
According to van der waal's equation,
$(P + \frac{a}{V^{2}}) (V - b) = n R T$
The ease of liquefaction of a gas depends on their intermolecular force of attraction which in turn is measured in terms of van der Waal's constant ‘a’. Hence, higher the value of ‘a’, greater the intermolecular force of attraction, easier the liquefaction.
Therefore, order of liquefaction is $\to$
$Y_{2} > Z_{2} > X_{2}$

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