J.R. S. answered 12/10/21
Ph.D. University Professor with 10+ years Tutoring Experience
This problem is a little different from all the others you posted, so I thought I'd give you a little guidance, so you can do others that are similar.
The balanced equation is
2HBr(g) <==> H2(g) + Br2(l) and you are given the initial [HBr] as 0.450 mol/0.75 L = 0.600 M. You are also provided with the equilibrium [H2] as 0.132 M. You are asked to find the equilibrium constant, Kc.
From my previous explanation, Kc = products / reactants with each raised to the power of the coefficient in the balanced equation.
Set up an ICE table to find equilibrium [HBr].
2HBr(g) <==> H2(g) + Br2(l)
0.600 M...........0...........0.........Initial
-2x.................+x..........+x........Change
0.6-2x..............x............x.........Equilibrium
x = 0.132 M as given in the problem
[HBr] @ equilibrium = 0.600 - (2 x 0.132) = 0.600 - 0.336 = 0.264 M
Kc = [H2] / [HBr]2 (note: Br2 is not included as it is a liquid)
Kc = (0.132) / (0.264)2 = 0.132 / 0.0697
Kc = 1.89