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Addition of Inert Gas at Constant Pressure

At a certain ...

Question

At a certain temperature, for the reaction $N_{2} + O_{2} ⇌ 2 N O$ ; if K = 0.09 the equilibrium constant for $N O ⇌ \frac{1}{2} N_{2} + \frac{1}{2} O_{2}$ is:

0.03

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3.3

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Solution

The correct option is B 3.3
The equilibrium constant for the reaction is given as 0.09. The equilibrium constant for the reverse reaction is $\frac{1}{k}$ . Now the equation is halved, the value of the equilibrium constant will be $\frac{1}{\sqrt{k}}$
$\frac{1}{\sqrt{0.09}} = 3.3$ .

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