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Equilibrium

Question
CBSEENCH11006394

For the reaction
SO subscript 2 left parenthesis straight g right parenthesis space plus space NO subscript 2 left parenthesis straight g right parenthesis space space space rightwards harpoon over leftwards harpoon space space space SO subscript 3 left parenthesis straight g right parenthesis space plus space NO left parenthesis straight g right parenthesis the partial pressure of SO2, NO2, SO3 and NO at equilibrium are 0.5, 0.8, 0.7 and 1.2 bar respectively. Calculate Kp for the reaction. 



Solution
Reversible reaction at equilibrium is
space SO subscript 2 left parenthesis straight g right parenthesis space plus NO subscript 2 left parenthesis straight g right parenthesis space space space rightwards harpoon over leftwards harpoon space SO subscript 3 left parenthesis straight g right parenthesis space plus space NO left parenthesis straight g right parenthesis
Applying the law of chemical equilibrium
                       straight K subscript straight p space equals space fraction numerator straight p subscript SO subscript 3 end subscript cross times straight p subscript NO over denominator straight p subscript SO subscript 2 end subscript space cross times space straight p subscript NO subscript 2 end subscript end fraction
Substituting the values, we have,
             straight K subscript straight p space equals space fraction numerator 0.7 space cross times space 1.2 over denominator 0.5 space cross times space 0.8 end fraction space equals space fraction numerator 0.84 over denominator 0.4 end fraction space equals space 2.1