At eqm. $\quad c(1-\alpha) \quad\quad\quad c \alpha \quad\quad\quad c \alpha$
$K _{ a }=\frac{c \alpha^2}{1-\alpha} \text {; where } \alpha=\frac{\Lambda_{ m }}{\Lambda_{ m }^{\infty}}$
$\therefore \quad K_{ a }=\frac{c\left(\frac{\Lambda_{ m }}{\Lambda_{ m }^{\infty}}\right)^2}{\left(1-\frac{\Lambda_{ m }}{\Lambda_{ m }^{\infty}}\right)}$
$=\frac{ c \Lambda_{ m }^2}{\Lambda_{ m }^{\infty}\left(\Lambda_{ m }^{\infty}-\Lambda_{ m }\right)}$
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$K + {H_2}O + $Water $ \to KOH(aq) + \frac{1}{2}{H_2};\,\Delta H = - 48\,kcal$
$KOH + $Water $ \to KOH(aq);\,\Delta H = - 14\,kcal$
The heat of formation of $KOH$ is (in kcal)
$\begin{array}{*{20}{c}}
{C{H_3}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\
{|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\
{C{H_3} - CH - C{H_3}(excess) + B{r_2}\xrightarrow{{hv}}}
\end{array}$ $\mathop {\begin{array}{*{20}{c}}
{\,\,\,\,\,C{H_3}} \\
| \\
{C{H_3} - C - C{H_3}} \\
| \\
{\,\,Br}
\end{array}}\limits_{(A)} $ + $\mathop {\begin{array}{*{20}{c}}
{C{H_3}\,\,\,\,\,\,\,\,\,\,} \\
{\,\,|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\
{C{H_3} - CH - C{H_2} - Br}
\end{array}}\limits_{(B)} $
the percentage yields of the products $(A)$ and $(B)$ are expected to be
