The solution would be like this for this specific problem:
Given:
H2 = 2.6 atm
CL2 = 3.14 atm
pressure H2 = 2.6 - x
pressure Cl2 = 3.14 - x
pressure HBr = 2x = 1.13
x = 1.13 / 2 = 0.565
pressure H2 = 2.6 - 0.565 = 2.035
pressure Br2 = 3.14 - 0.565 = 2.575
Kp = (1.13)^2 / 2.035 x 2.575
= 1.2769 / (5.240125)
= 0.24367739319195629875241525726963
= 0.244
Therefore, the Kp for the reaction at the given temperature
is 0.244.
To add, the hypothetical pressure of a gas if
it alone occupied the whole volume of the original mixture at the same
temperature is called the partial pressure or Kp.
