Dear student
2HI <==> H2 + I2 Kc = 1*10-4
After time t, [HI] = 2*10-5 mol, = 1*10-5 mol, [I2] = 1*10-5 mol.
So after time t, Kc =
Kc = ( 1*10-5) ( 1*10-5) / ( 2*10-5 )2
Kc = 0.25
The value of the equilibrium constant is increases, so the reaction will shift in the backward direction to achieve the equilibrium state.
Regards