MCQ
If the equilibrium constant for

$N_{2(g)} + O_{2(g)} \rightleftharpoons  2NO_{(g)}$ is $K,$ the equilibrium constant for $\frac{1}{2} N_{2(g)} + \frac{1}{2} O_{2(g)} \rightleftharpoons  NO_{(g)}$ will be

  • A
    $\frac{1}{2} \,K$
  • B
    $K$
  • C
    $K^2$
  • $K^{1/2}$

Answer

Correct option: D.
$K^{1/2}$
d
If the equilibrium constant for $N _2( g )+ O _2( g ) \rightleftharpoons 2 NO ( g )$ is $K$, the equilibrium constant for $\frac{1}{2} N _2( g )+\frac{1}{2} O _2( g ) \rightleftharpoons NO ( g )$ will be $K ^{\frac{1}{2}}$

$K =\frac{[ NO ]^2}{\left[ N _2\right]\left[ O _2\right]}$

$K ^{\prime}=\frac{[ NO ]}{\sqrt{\left[ N _2\right]\left[ O _2\right]}}=\sqrt{\frac{[ NO ]^2}{\left[ N _2\right]\left[ O _2\right]}}= K ^{\frac{1}{2}}$

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