Answer:
Kp = 929551.4
Step-by-step explanation:
First of all, we state the equilibrium:
4PBr₃ (g) ⇄ P₄(g) + 6Br₂(g)
In order to determine Kp, we need the partial pressure of each gas at equilibrium. Expression for Kp is:
{(Parial Pressure P₄) . (Partial Pressure Br₂)⁶} / (Partial Pressure PBr₃)⁴
Kp = 99.2 . 97.2⁶ / 97.4⁴
Kp = 929551.4
Take account that Kp can be also calculated from Kc.
Kp = Kc (RT)^Δn where Δn is the value for (final moles - initial moles) of any gas