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Chemistry Question on Rate of a Chemical Reaction

For the reaction, N2(g)+3H2(g)⇌2NH3(g)N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g ), the unit of KK is :

A

L mol−1L\,mol ^{-1}

B

L2 mol−2L^{2} \,mol^{-2}

C

mol L−1mol\,L ^{-1}

D

No units

Answer

L2 mol−2L^{2} \,mol^{-2}

Explanation

Solution

N2(g)+3H2(g)⇌2NH3(g)N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g )
K=[NH3]2[N2][H2]3=[molL]2[molL][molL]3K =\frac{\left[ NH _{3}\right]^{2}}{\left[ N _{2}\right]\left[ H _{2}\right]^{3}}=\frac{\left[\frac{ mol }{ L }\right]^{2}}{\left[\frac{ mol }{ L }\right]\left[\frac{ mol }{ L }\right]^{3}}
K=[molL]−2=L2 mol−2K =\left[\frac{ mol }{ L }\right]^{-2}= L ^{2} \,mol ^{-2}