For real gases,the van der Waals equation is written as $\left( p + \frac{a n^2}{V^2} \right) (V - nb) = nRT$,where $a$ and $b$ are van der Waals constants. Two sets of gases are:
$(I)$ $O_2, CO_2, H_2, He$
$(II)$ $CH_4, O_2, H_2$
The gases given in set-$I$ are arranged in increasing order of $b$,and the gases given in set-$II$ are arranged in decreasing order of $a$. Select the correct order from the following:

  • A
    $I. He < H_2 < O_2 < CO_2$; $II. CH_4 > O_2 > H_2$
  • B
    $I. O_2 < He < H_2 < CO_2$; $II. H_2 > O_2 > CH_4$
  • C
    $I. H_2 < He < O_2 < CO_2$; $II. CH_4 > O_2 > H_2$
  • D
    $I. H_2 < O_2 < He < CO_2$; $II. O_2 > CH_4 > H_2$

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Similar Questions

At very high pressures,the compressibility factor of one mole of a gas is given by

The correction factor '$a$' in the van der Waals equation for real gases corresponds to:

Consider the following table:
Gas $a / (kPa \cdot dm^6 \cdot mol^{-2})$ $b / (dm^3 \cdot mol^{-1})$
$A$ $642.32$ $0.05196$
$B$ $155.21$ $0.04136$
$C$ $431.91$ $0.05196$
$D$ $155.21$ $0.4382$

$a$ and $b$ are van der Waals constants. The correct statement about the gases is:

What is the compressibility factor of a gas at high pressure?

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Which of the given sets of temperature and pressure will cause a gas to exhibit the greatest deviation from ideal gas behavior?

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