Answer : The value of equilibrium constant is, 0.166
Solution : Given,
Concentration of A = 9.60 M
Concentration of B = 10.0 M
Concentration of C = 4.00 M
Concentration of D = 4.00 M
The equilibrium reaction will be,
[tex]A+B\rightleftharpoons C+D[/tex]
The expression for equilibrium constant is,
[tex]K_c=\frac{[C][D]}{[A][B]}[/tex]
Now put all the given values in this expression, we get the values of equilibrium constant.
[tex]K_c=\frac{(4M)\times (4M)}{(9.60M)\times (10M)}=0.166[/tex]
Therefore, the value of equilibrium constant is, 0.166
