Which of the following gases will have least volume if 10 g of each gas is taken at same temperature and pressure?

C O_{2}

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N_{2}

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C H_{4}

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H C l

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Solution

The correct option is A $C O_{2}$
Avogadro’s Law states that under same conditions of temperature and pressure, volume of gases (V) is proportional to the amount of gases in moles(n).

$V \propto n$

$n = \frac{m a s s}{m o l a r m a s s}$

Mass of gases are same = 10 g

$V \propto \frac{1}{M o l a r m a s s}$

Molar mass of $C O_{2} = 12 + 2 \times 16 = 44 g$
Molar mass of $N_{2} = 2 \times 14 = 28 g$
Molar mass of $C H_{4} = 12 + 4 \times 1 = 16 g$
Molar mass of $H C l = 1 + 35.5 = 36.5 g$

Order of volume of 10 g of given gases is:
$C H_{4} > N_{2} > H C l > C O_{2}$

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