Answer: The initial partial pressures of [tex]NO[/tex] and [tex]Cl_2[/tex] are 134 torr each.
Explanation:
The given balanced equilibrium reaction is,
[tex]2NO(g)+Cl_2(g)\rightleftharpoons 2NOCl(g)[/tex]
Initial pressure x x 0
At eqm. conc. (x-2y) (x-y) 2y
The expression for equilibrium constant for this reaction will be,
[tex]K_c=\frac{[NOCl]^2}{[NO]^2[Cl_2]}[/tex]
[tex]K_c=\frac{(2y)^2}{(x-2y)^2\times (x-y)}[/tex]
we are given : 2 y= 110 torr
y = 55 torr
Now put all the given values in this expression, we get :
[tex]0.27=\frac{(110)^2}{(x-110)^2\times (x-55)}[/tex]
[tex]x=134torr[/tex]
Thus the initial partial pressures of [tex]NO[/tex] and [tex]Cl_2[/tex] are 134 torr each