Calculate the volume of oxygen at STP required for the complete combustion of 100 litres of carbon monoxide at the same temperature and pressure.

$2 C O + O_{2} ⟶ 2 C O_{2}$

(b) $200 c m^{3}$ of hydrogen and 150 cm of oxygen are mixed and ignited, as per the following reaction,

$2 H_{2} + O_{2} ⟶ 2 H_{2} O$ . What volume of oxygen remains unreacted?

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Solution

(a)The reaction is:-

$2 C O 2 V o l + O_{2} 1 V o l s ⟶ 2 C O_{2} 2 V o l s$
[ By Gay Lussac's Law]

2 vol of $C O_{2}$ is completely combusted by 1 vol of $O_{2}$

100l of $C O_{2}$ is completely combusted by $\frac{1}{2} \times 100 l$ of $O_{2}$

100l of $C O_{2}$ is completely combusted by $50 l$ of $O_{2}$

Therefore required $O_{2} = 50 l$

(b) $2 H_{2} + O_{2} ⟶ 2 H_{2} O$

2 vol. of hydrogen requires 1 vol. of oxygen for combustion.

So, 1 vol. of hydrogen will require $\frac{1}{2} v o l$ . of oxygen for combustion.

Thus, $200 c m^{3}$ . of hydrogen will require $\frac{1}{2} \times 200 = 100 c m^{3}$ of oxygen.

So, vol. of oxygen unreacted $= (150 - 100) c m^{3} = 50 c m^{3}$

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