Question

In the Reaction $X+Y\rightleftharpoons 2Z$
$1mole$ of $X$, $1$ mole of $Y$ and $1$ mole of $Z$ are placed in a $10$ litre vessel in allowed to reach $e{q}^b$. If final $con{c}^n$ of $Z$ is $0.2M$, then $Kc$ is:

Answer 1

$X+Y\rightleftharpoons 2Z$

At $t=0$ $1$ $1$ $1$

At $t=t_{eq}$ $1-x$ $1-x$ $1+2x$

$1/2$ $1/2$ $2$

Given $\frac{1+2x}{10}=0.2$ ($\because$ concentration $=\frac{Mass}{Volumeinlit}$)

$1+2x=2$

$2x=1$

$x=1/2$

$K_C=\frac{{\left(2\right)}^2}{1/2.1/2}=16$