Answer: The value of equilibrium constant for the given reaction at 517 K is 1.30
Step-by-step explanation:
The chemical equation for the dissociation of
follows:

The expression of
for above equation follows:
![K_(eq)=([CH_4][CCl_4])/([CH_2Cl_2]^2)](https://img.qammunity.org/2021/formulas/chemistry/college/9bt9xobo7teby4el3gl5qqsrz1oqgvg9qg.png)
We are given:
![[CH_4]_(eq)=3.69* 10^(-2)M](https://img.qammunity.org/2021/formulas/chemistry/college/ofpfkyfltu5xvzjo9de56nipsv7hsb5ouu.png)
![[CCl_4]_(eq)=4.12* 10^(-2)M](https://img.qammunity.org/2021/formulas/chemistry/college/5lea0h4mv0b36nm9bdj1f3r7osc6ib7yxs.png)
![[CH_2Cl_2]_(eq)=3.42* 10^(-2)M](https://img.qammunity.org/2021/formulas/chemistry/college/5fry3jxjh8yfcc19w7j2rf753cdnd4zbqp.png)
Putting values in above expression, we get:

Hence, the value of equilibrium constant for the given reaction at 517 K is 1.30