In: Chemistry
The equilibrium constant for the following reaction: H2(g) + Br2(g) ↔ 2HBr (g) is 1.95 x 103 at a certain temperature. Find the equilibrium pressure of HBr if 10.70 atm of HBr is introduced into a sealed container at this temperature.
H2(g) + Br2(g) ↔ 2HBr (g)
I 0 0 10.7
C +x +x -2x
E +x +x 10.7-2x
KP = [HBr]^2/[H2][Br2]
1.95*10^3 = (10.7-2x)^2/x*x
1.95*10^3 *x^2 = (10.7-2x)^2
1.95*10^3 *x^2-4x^2-114.19+42.8x=0
1946x^2+42.8x-114.19=0
x = 0.23
[HBr] = 10.7-2x = 10.7-2*0.23 = 10.24atm
[H2] = x = 0.23atm
[Br2] = x = 0.23atm