Number of moles of methane required to produce 22g after combustion is moles. The value of is

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Solution

Q.
Number of moles of methane required to produce 22g $C O_{2 (g)}$ after combustion is $x \times 10^{- 2}$ moles. The value of $x$ is _________ . [2024]

Ans.
(50) $Number of moles of carbon dioxide (n_{{CO}_{2}})$

   $= \frac{Given mass}{Molar mass} = \frac{22 g}{44 g {mol}^{- 1}} = 0.5 mol$

  Combustion reaction of methane is represented as:

   $C H_{4} + 2 O_{2} \to C O_{2} + 2 H_{2} O$

  By stoichiometry:

$\frac{n_{C H_{4}}}{1} = \frac{n_{C O_{2}}}{1}, n_{C H_{4}} = 0.5 mol = 50 \times 10^{- 2} mol$

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