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Question

What is the value of the equilibrium constant for the following reaction if the equilibrium concentrations of nitrogen, hydrogen, and ammonia are 1M,2M, and 15M respectively?
N2(g)+3H2(g)2NH3(g)

A
0.035
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B
7.5
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C
28
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D
380
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Solution

The correct option is B 28
The equilibrium constant of a particular reaction is expressed as the ratio of the concentrations of the products to the concentrations of the reactants, with their powers raised to their stoichiometric coefficients.
In the equation N2 + 3H2 = 2NH3, the stoichiometric co-efficients of the reactants are 1 and 3 whereas, the stoichiometric coefficient of the product is 2
Thus, equilibrium constant k can be written as:
k = [NH3]2/[N2]1[H2]3
The concentrations of NH3, H2 and N2 are 15M, 2M and 1M respectively. Putting all these values in the equation we get,
k = [15]2/[1]1[2]3
From this, the value of k is obtained as 28.1
Option C is the correct answer.

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