Answer : The value of equilibrium constant (Kp) is, [tex]2.5\times 10^{-6}[/tex]
Explanation : Given,
Partial pressure of [tex]H_2O[/tex] = 0.0900 atm
Partial pressure of [tex]H_2[/tex] = 0.00450 atm
Partial pressure of [tex]O_2[/tex] = 0.00100 atm
The given chemical reaction is:
[tex]2H_2O(g)\rightarrow 2H_2(g)+O_2(g)[/tex]
The expression for equilibrium constant is:
[tex]K_p=\frac{(p_{H_2})^2\times (p_{O_2})}{(p_{H_2O})^2}[/tex]
Now put all the given values in this expression, we get:
[tex]K_p=\frac{(0.00450)^2\times (0.00100)}{(0.0900)^2}[/tex]
[tex]K_p=2.5\times 10^{-6}[/tex]
Thus, the value of equilibrium constant (Kp) is, [tex]2.5\times 10^{-6}[/tex]