Answer : The equilibrium constant for the reaction is
![5.0* 10^(-3)](https://img.qammunity.org/2020/formulas/chemistry/college/lpdy3yqyf9ks5ygxet5svizgq71ka2tip1.png)
Explanation :
The given equilibrium reaction is:
![K_c=?](https://img.qammunity.org/2020/formulas/chemistry/college/u5gaqh1ce6o1au9t16ba2t1hlksccsxmul.png)
The dissociation reaction will be:
![K_(sp)=6.27* 10^(-9)](https://img.qammunity.org/2020/formulas/chemistry/college/2qp8939g47jy8m3uiuwtphgxl54cm53ur6.png)
The formation reaction will be:
![K_f=8.0* 10^(5)](https://img.qammunity.org/2020/formulas/chemistry/college/aqkayieqsw8skb18rp9l6hrd281skm1ni6.png)
Thus, the value of equilibrium constant will be:
![K_c=K_(sp)* K_f](https://img.qammunity.org/2020/formulas/chemistry/college/mygx7d3t9uwz9z74bjc0fa42dkhg3hehas.png)
Now put all the given values in this expression, we get:
![K_c=(6.27* 10^(-9))* (8.0* 10^(5))](https://img.qammunity.org/2020/formulas/chemistry/college/9qavh0x4ukxi7cvxzljqax4rqb99fyrv8b.png)
![K_c=5.0* 10^(-3)](https://img.qammunity.org/2020/formulas/chemistry/college/v9lwztdl99a2vpvnxw2lc6z810oxbglz2b.png)
Therefore, the equilibrium constant for the reaction is
![5.0* 10^(-3)](https://img.qammunity.org/2020/formulas/chemistry/college/lpdy3yqyf9ks5ygxet5svizgq71ka2tip1.png)