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Answer: The value of [tex]K_c[/tex] is 2
Explanation:
Moles of [tex]N_2O_4[/tex] = 1.0 mole
Volume of solution = 1.00 L
Initial concentration of [tex]N_2O_4[/tex] = [tex]\frac{1.0mol}{1.00L}=1.0M[/tex]
Equilibrium concentration of [tex]NO_2[/tex] = [tex]\frac{1.0mol}{1.00L}=1.0M[/tex]
The given balanced equilibrium reaction is,
[tex]N_2O_4(g)\rightleftharpoons 2NO_2(g)[/tex]
Initial conc. 1.0 M 0 M
At eqm. conc. (1.0-x) M (2x) M
The expression for equilibrium constant for this reaction will be,
[tex]K_c=\frac{[NO_2]^2}{[N_2O_4]}[/tex]
Given : 2x = 1.0
x= 0.5
Now put all the given values in this expression, we get :
[tex]K_c=\frac{(1.0)^2}{(1.0-0.5)}[/tex]
[tex]K_c=2[/tex]
Thus the value of [tex]K_c[/tex] is 2