Thermodynamics and Thermochemistry - Result Question 72

####72. A gas mixture of $3.67 L$ of ethylene and methane on complete combustion at $25^{\circ} C$ produces $6.11 L$ of $CO _2$. Find out the amount of heat evolved on burning $1 L$ of the gas mixture. The heat of combustion of ethylene and methane are -1423 and $-891 kJ mol^{-1}$ at $25^{\circ} C$.

(1991, 5M)

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Solution:

  1. Let the mixture contain $x$ litre of $CH _4$ and $3.67-x$ litre of ethylene.

$$ \begin{aligned} CH _4+O _2 & \longrightarrow \begin{array}{c} CO _2 \ x \end{array} \ C _2 H _4+O _2 \longrightarrow \begin{array}{c} 2 CO _2 \



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