At a certain temperature 2HI gives H2and I2(reversible reaction) .Only 50% HI is dissociated at equilibrium .The equilibrium constant is .

                        2 HI     H2  +  I2Initial   moles    2             1          1At eqm             2-2X      X         X        (where X is the amount dissociated)X = 0.5 (since 50% dissociation)                           2-2(0.5)  0.5     0.5                             1              0.5     0.5KC = [H2] [I2][HI]2 = 0.5 × 0.512 = 0.25

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