28.0 L of is produced on complete combustion of 16.8 L gaseous mixture of ethene and methane at and 1 atm. Heat evolved during the combustion process is _______ kJ. [2023]

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Solution

Q.
28.0 L of $C O_{2}$ is produced on complete combustion of 16.8 L gaseous mixture of ethene and methane at $25 ° C$ and 1 atm. Heat evolved during the combustion process is _______ kJ.

Given: $Δ H_{c} ({CH}_{4}) = - 900 {kJ mol}^{- 1}$

$Δ H_{c} (C_{2} H_{4}) = - 1400 {kJ mol}^{- 1}$ [2023]

Ans.
(925)

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

$C_{2} H_{4} + 3 O_{2} \to 2 {CO}_{2} + 2 H_{2} O$

$16.8 - x 2 (16.8 - x)$

$x + 2 (16.8 - x) = 28$

${CH}_{4} = x = 5.6 L$

$C_{2} H_{4} = 16.8 - 5.6 = 11.2 L$

$n_{{CH}_{4}} = \frac{5.6}{22.4} = \frac{1}{4}$

$n_{C_{2} H_{4}} = \frac{11.2}{22.4} = \frac{1}{2}$

$∴$ $Heat released = \frac{1}{4} \times 900 + \frac{1}{2} \times 1400$

$= 225 + 700 = 925 kJ$

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