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Equilibrium

Question
CBSEENCH11006329

The following concentrations were obtained for the formation of NH3 from N2and H2 at equilibrium at 500K. [N2] = 1·5 × 10–2 M, [H2] = 3·0 × 10–2M and [NH3] = 1·2 × 10–2 M. Calculate the equilibrium constant.

Solution
The reaction is
space straight N subscript 2 left parenthesis straight g right parenthesis space plus space 3 straight H subscript 2 left parenthesis straight g right parenthesis space space rightwards harpoon over leftwards harpoon space space 2 NH subscript 2 left parenthesis straight g right parenthesis
We have given,
[N2] = 1·5 × 10–2 M
[H2] = 3·0 × 10–2M
[NH3] = 1·2 × 10–2 M
Applying the law of chemical equilibrium, we have
straight K subscript straight c space equals space fraction numerator open square brackets NH subscript 3 close square brackets squared over denominator open square brackets straight N subscript 2 close square brackets space open square brackets straight H subscript 2 close square brackets cubed end fraction space space space space... left parenthesis 1 right parenthesis
Putting the values in expression (1), we have
    straight K subscript straight c space equals fraction numerator left parenthesis 1.2 space cross times space 10 to the power of negative 2 end exponent right parenthesis squared over denominator left parenthesis 1.5 space cross times space 10 to the power of negative 2 end exponent right parenthesis thin space left parenthesis 3.0 space cross times space 10 to the power of negative 2 end exponent right parenthesis cubed end fraction
space space space space equals space 0.106 space cross times space 10 to the power of 4 space equals space 1.06 space cross times space 10 cubed