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Equilibrium

Question
CBSEENCH11006367

Write the expressions for equilibrium constant for the reactions:
left parenthesis straight i right parenthesis space straight H subscript 2 left parenthesis straight g right parenthesis space plus space space straight I subscript 2 left parenthesis straight g right parenthesis space space space space space rightwards harpoon over leftwards harpoon space space 2 HI left parenthesis straight g right parenthesis
left parenthesis ii right parenthesis 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 3 left parenthesis straight g right parenthesis
left parenthesis iii right parenthesis space PCl subscript 5 left parenthesis straight g right parenthesis space space space rightwards harpoon over leftwards harpoon space space space space PCl subscript 3 left parenthesis straight g right parenthesis space plus space Cl subscript 2 left parenthesis straight g right parenthesis

Solution

Expression for equilibrium constant for the reactions:
left parenthesis straight i right parenthesis space straight K subscript straight c space equals space fraction numerator open square brackets HI close square brackets squared over denominator open square brackets straight H subscript 2 close square brackets space open square brackets straight I subscript 2 close square brackets end fraction
left parenthesis ii right parenthesis space straight K subscript straight c space equals space fraction numerator open square brackets NH subscript 3 close square brackets cubed 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
left parenthesis iii right parenthesis space straight K subscript straight c space equals space fraction numerator open square brackets PCl subscript 3 close square brackets space open square brackets Cl subscript 2 close square brackets over denominator open square brackets PCl subscript 5 close square brackets end fraction