Â
  H2(g) +   I2(g) Â
⇌     2HI(g)
Initial                Â
3.75 MÂ Â Â 3.00
MÂ Â Â Â Â Â Â Â Â Â Â Â
0
at equilibrium      3.75-
x   Â
3-x               Â
2 x
So,
   equilibrium concentration of I2 = 3-x
But given that equilibrium concentration of I2 = 0.0900 M
   Then,
                  Â
3-x = 0.09
                     Â
x = 2.91 M
   Therefore, equilibrium concentrations are
  [H2] = 3-75 -x = 3.75 - 2.91 = 0.84 M
[I2] = 0.09 M
[HI]= 2 x= 2 x 2.91 = 5.82 M
        Kc =
[HI]2/ [H2] [I2]
             Â
= (5.82)2 / (0.84) (0.09)
            Â
= 448.05
Therefore, equilibrium constant  Kc = 448.05