A mixture of 1 mole of H _2 O and 1 mole of CO is taken in a 10 l… - Vidyadip

MCQ

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 :

$CO ( g )+ H _2 O ( g ) \rightleftharpoons CO _2( g )+ H _2( g )$ The equilibrium constant $K _{ C } \times 10^2$ for the reaction is $.......$ (Nearest integer)

A
$41$
B
$42$
C
$43$
✓
$44$

✓

Answer

Correct option: D.

$44$

d
$CO _{( g )}+ H _2 O _{( g )} \rightleftharpoons CO _{2( g )}+ H _{2( g )}$

$\begin{array}{lllll} t =0 & 1\,mol & 1\,mol & 0 & 0\end{array}$

at equ. $1- x \quad 1- x \quad x \quad x$

at equilibrium $40 \%$ by mass water reacts with $CO$

$x=0.4 \quad 1-x=0.6$

$K _{ C }=\frac{\left[ CO _2\right]\left[ H _2\right]}{[ CO ]\left[ H _2 O \right]}=\frac{0.4 \times 0.4}{0.6 \times 0.6}=0.44$

$K _{ C } \times 10^2=44$

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