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Equilibrium

Question
CBSEENCH11006380

Calculate the units of the equilibrium constant for the following reactions:
space space straight H subscript 2 left parenthesis straight g right parenthesis space plus space straight I subscript 2 left parenthesis straight g right parenthesis space space space rightwards harpoon over leftwards harpoon space space space 2 HI left parenthesis straight g right parenthesis

Solution
space space For space space straight H subscript 2 left parenthesis straight g right parenthesis space plus space straight I subscript 2 left parenthesis straight g right parenthesis space space rightwards harpoon over leftwards harpoon space space space 2 HI left parenthesis straight g right parenthesis
straight K subscript straight c space equals 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 equals space fraction numerator left parenthesis mol space straight L to the power of negative 1 end exponent right parenthesis squared over denominator left parenthesis mol space straight L to the power of negative 1 end exponent right parenthesis thin space left parenthesis mol space straight L to the power of negative 1 end exponent right parenthesis end fraction
space space space space space equals space fraction numerator 1 over denominator left parenthesis mol space straight L to the power of negative 1 end exponent right parenthesis end fraction equals space straight L space mol to the power of negative 1 end exponent