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Characteristics of Equilibrium Constant

For the react...

Question

For the reaction, $2 N H_{3} (g) ⇌ N_{2} (g) + 3 H_{2} (g),$ the units of $K_{p}$ will be.

a t m

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(a t m)^{3}

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(a t m)^{- 2}

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(a t m)^{2}

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Solution

The correct option is D $(a t m)^{2}$
Substituting these values in expression
$\Rightarrow K_{p} = \frac{(P_{N_{2}})^{1} \times (P_{H_{2}})^{3}}{(P_{N H_{3}})^{2}}$
Substituting the values of unit of pressure, we get,
unit of $K_{P}$ = $\frac{a t m^{4}}{a t m^{2}}$
this gives the answer (d).

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