Answer : The value of [tex]K_p[/tex] at temperature 500 K is 52.0
Explanation : Given,
Partial pressure of [tex]NO[/tex] at equilibrium = 0.240 atm
Partial pressure of [tex]Cl_2[/tex] at equilibrium = 0.608 atm
Partial pressure of [tex]NOCl[/tex] at equilibrium = 1.35 atm
The balanced equilibrium reaction is,
[tex]2NO(g)+Cl_2(g)\rightleftharpoons 2NOCl(g)[/tex]
The expression of equilibrium constant [tex]K_p[/tex] for the reaction will be:
[tex]K_p=\frac{(p_{NOCl})^2}{(p_{NO})^2(p_{Cl_2})}[/tex]
Now put all the values in this expression, we get :
[tex]K_p=\frac{(1.35)^2}{(0.240)^2(0.608)}[/tex]
[tex]K_p=52.0[/tex]
Therefore, the value of [tex]K_p[/tex] at temperature 500 K is 52.0