Answer :
Answer: [tex]K_c=0.0587M[/tex]
Explanation: The given chemical reaction is:
[tex]2NOBr(g)\rightleftharpoons 2NO(g)+Br_2(g)[/tex]
Equilibrium constant (Kc) in general is written as:
[tex]K_c=\frac{[products]}{[reactants]}[/tex]
Note:- Coefficients are written as their powers
So, the Kc expression for the above reaction will be:
[tex]K_c=\frac{[NO]^2[Br_2]}{[NOBr]^2}[/tex]
Equilibrium moles are given for all of them. Let's divide the moles by given liters to get the concentrations.
[tex][NOBr]=\frac{0.412mol}{10.3L}[/tex] = 0.040 M
[tex][NO]=\frac{0.678mol}{10.3L}[/tex] = 0.0658 M
[tex][Br_2]=\frac{0.224mol}{10.3L}[/tex] = 0.0217 M
Plug in the values in the equilibrium expression to calculate Kc.
[tex]K_c=\frac{(0.0658M)^2(0.0217M)}{(0.040M)^2}[/tex]
[tex]K_c=0.0587M[/tex]