Consider the reaction SO2 Cl2gSO2g Cl2g K291x103 at 298 K I

Consider the reaction: SO2 Cl2(g)SO2(g) + Cl2(g), K,,-291x103 at 298 K In a reaction at equilibrium, the partial pressure of SO2 is 0.144 torr and that of Cl2 is 0.346 torr. Part A What is the partial pressure of SO2 Cl2 in this mixture? Express your answer in torr using three significant figures. 2 torr

Solution

p(SO2) = 0.144 torr
= 0.144/760 atm
= 1.895*10^-4 atm

p(Cl2) = 0.346 torr
= 0.346/760 atm
= 4.553*10^-4 atm

use:
Kp = p(SO2)*p(Cl2)/p(SO2Cl2)
2.91*10^3 = (1.895*10^-4)*(4.553*10^-4)/p(SO2Cl2)
p(SO2Cl2) = 2.965*10^-11 atm
= 2.965*10^-11 * 760 torr
= 2.25*10^-8 torr

Answer: 2.25*10^-8 torr