MCQ
If for ${H_2}_{(g)} + \frac{1}{2}{S_{2(S)}}$ $\rightleftharpoons$ ${H_2}{S_{(g)}}$ and ${H_{2(g)}} + B{r_{2(g)}}$ $\rightleftharpoons$ $2HB{r_{(g)}}$The equilibrium constants are $K_1$ and $K_2$ respectively, the reaction$B{r_2}_{(g)} + {H_2}{S_{(g)}}$ $\rightleftharpoons$ $2HB{r_{(g)}} + \frac{1}{2}{S_{2(S)}}$ would have equilibrium constant
  • A
    ${K_1}\; \times \;{K_2}$
  • B
    ${K_1}/{K_2}$
  • ${K_2}/{K_1}$
  • D
    $K_2^2/{K_1}$

Answer

Correct option: C.
${K_2}/{K_1}$
(c) ${{K}_{1}}=\frac{[{{H}_{2}}S]}{[{{H}_{2}}]\,\,{{[{{S}_{2}}]}^{{1}/{2}\;}}}$;  ${{K}_{2}}=\frac{{{[HBr]}^{2}}}{[{{H}_{2}}]\,\,[B{{r}_{2}}]}$

${{K}_{3}}=\frac{{{[HBr]}^{2}}\times {{[{{S}_{2}}]}^{{1}/{2}\;}}}{[B{{r}_{2}}]\,\times [{{H}_{2}}S]}$ ; $\frac{{{K_2}}}{{{K_1}}} = {K_3}$

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