<u>Answer:</u> The value of
is 0.044
<u>Explanation:</u>
We are given:
Initial moles of methane = 
Initial moles of carbon tetrachloride = 
Volume of the container = 1.00 L
Concentration of a substance is calculated by:

So, concentration of methane = 
Concentration of carbon tetrachloride = 
The given chemical equation follows:

<u>Initial:</u> 0.0410 0.0651
<u>At eqllm:</u> 0.0410-x 0.0651-x 2x
We are given:
Equilibrium concentration of carbon tetrachloride = 
Evaluating the value of 'x', we get:

Now, equilibrium concentration of methane = ![0.0410-x=[0.0410-0.0049]=0.0361M](https://tex.z-dn.net/?f=0.0410-x%3D%5B0.0410-0.0049%5D%3D0.0361M)
Equilibrium concentration of ![CH_2Cl_2=2x=[2\times 0.0049]=0.0098M](https://tex.z-dn.net/?f=CH_2Cl_2%3D2x%3D%5B2%5Ctimes%200.0049%5D%3D0.0098M)
The expression of
for the above reaction follows:
![K_{eq}=\frac{[CH_2Cl_2]^2}{[CH_4]\times [CCl_4]}](https://tex.z-dn.net/?f=K_%7Beq%7D%3D%5Cfrac%7B%5BCH_2Cl_2%5D%5E2%7D%7B%5BCH_4%5D%5Ctimes%20%5BCCl_4%5D%7D)
Putting values in above expression, we get:

Hence, the value of
is 0.044