MCQ
For the given hypothetical reactions, the equilibrium constants are as follows:

$\mathrm{X} \rightleftharpoons \mathrm{Y} ; \mathrm{K}_1=1.0$

$\mathrm{Y} \rightleftharpoons \mathrm{Z} ; \mathrm{K}_2=2.0$

$\mathrm{Z} \rightleftharpoons \mathrm{W} ; \mathrm{K}_3=4.0$

The equilibrium constant for the reaction $\mathrm{X} \rightleftharpoons \mathrm{W}$ is

  • A
    $6.0$
  • B
    $12.0$
  • $8.0$
  • D
    $7.0$

Answer

Correct option: C.
$8.0$
c
$\mathrm{X} \rightleftharpoons \mathrm{Y}  \mathrm{k}_1=1$

$\mathrm{Y} \rightleftharpoons \mathrm{Z}  \mathrm{k}_2=2$

$\mathrm{Z} \rightleftharpoons \omega  \mathrm{k}_3=4$

$\mathrm{X} \rightleftharpoons \omega  \mathrm{k}_1 \cdot \mathrm{k}_2 \cdot \mathrm{k}_3$

$\mathrm{k}=1 \times 2 \times 4$

$\mathrm{k}=8$

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