A mixture of 1 mole of and 1 mole of CO is taken in a 10 litre container and heated to 725 K. At equilibrium 40% of water by mass reacts with carbon monoxide according to the equation: The equilibrium constant for the reaction is ________. (Nearest i

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Solution

Q.
A mixture of 1 mole of $H_{2} O$ and 1 mole of CO is taken in a 10 litre container and heated to 725 K. At equilibrium 40% of water by mass reacts with carbon monoxide according to the equation:

$CO (g) + H_{2} O (g) ⇌ {CO}_{2} (g) + H_{2} (g)$

The equilibrium constant $K_{c} \times 10^{2}$ for the reaction is ________. (Nearest integer) [2023]

Ans.
(44)

$\begin{matrix} CO & + & H_{2} O & ⇌ & {CO}_{2} & + & H_{2} \\ t = 0 & 1 & 1 & 0 & 0 \\ eq. & 1 - 0.4 & 1 - 0.4 & 0.4 & 0.4 \end{matrix}$

$V = 10 L$ $K_{C} = \frac{0.4 \times 0.4}{0.6 \times 0.6} = \frac{4}{9} = 0.44$

$K_{C} \times 100 = 44$

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