Answer : The value of [tex]K_p[/tex] at this temperature is 66.7
Explanation : Given,
Pressure of [tex]PCl_3[/tex] at equilibrium = 0.348 atm
Pressure of [tex]Cl_2[/tex] at equilibrium = 0.441 atm
Pressure of [tex]PCl_5[/tex] at equilibrium = 10.24 atm
The balanced equilibrium reaction is,
[tex]PCl_3(g)+Cl_2(g)\rightleftharpoons PCl_5(g)[/tex]
The expression of equilibrium constant [tex]K_p[/tex] for the reaction will be:
[tex]K_p=\frac{(p_{PCl_5})}{(p_{PCl_3})(p_{Cl_2})}[/tex]
Now put all the values in this expression, we get :
[tex]K_p=\frac{(10.24)}{(0.348)(0.441)}[/tex]
[tex]K_p=66.7[/tex]
Therefore, the value of [tex]K_p[/tex] at this temperature is 66.7