Mass of methane required to produce 22 g of after complete combustion is __________ g.

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Solution

Q.
Mass of methane required to produce 22 g of $C O_{2}$ after complete combustion is __________ g.

(Given Molar mass in g $m o l^{- 1}$ ,C = 12.0, H = 1.0, O = 16.0) [2024]

Ans.
(8) Number of moles of carbon dioxide

$(n_{{CO}_{2}}) = \frac{Given mass}{Molar mass} = \frac{22 g}{44 g {mol}^{- 1}} = 0.5 mol$

Combustion reaction of methane is represented as:

${CH}_{4} + 2 O_{2} \to {CO}_{2} + 2 H_{2} O$

By stoichiometry: $\frac{n_{{CH}_{4}}}{1} = \frac{n_{{CO}_{2}}}{1}, n_{{CH}_{4}} = 0.5 mol$

Mass of methane = $n_{{CH}_{4}} \times M_{{CH}_{4}} = 0.5 mol \times 16 g m o l^{- 1} = 8 g$

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