According to the following reaction, how many moles of dichloromethane (CH2Cl2) will be formed upon the complete reaction of 0.766 moles methane (CH4) with excess carbon tetrachloride?

methane (CH4) (g) + carbon tetrachloride (g) → dichloromethane (CH2Cl2) (g)

Respuesta :

Answer:

[tex]1.53~moles~CH_2Cl_2[/tex].

Explanation:

We can start with the reaction, if we know the formula for each compound:

-) Methane: [tex]CH_4[/tex]

-) Carbon tetrachloride: [tex]CCl_4[/tex]

-) Dichloromethane: [tex]CH_2Cl_2[/tex]

With this in mind, we can write the reaction:

[tex]CH_4~+~CCl_4~->~CH_2Cl_2[/tex]

Now, we can balance the reaction:

[tex]CH_4~+~CCl_4~->~2CH_2Cl_2[/tex]

After this, we have 2 carbon atoms on each side, 4 hydrogen atom on each side, and 4 chlorine atoms on each side.

If we want to know how many moles of [tex]CH_2Cl_2[/tex] would be produced with .766 moles of [tex]CH_4[/tex], we have to check the balanced reaction and use the molar ratio. In this case, the molar ratio is 1 mol [tex]CH_4[/tex] will produce 2 moles of [tex]CH_2Cl_2[/tex] (1:2). So:

[tex]0.766~moles~CH_4\frac{2~moles~CH_2Cl_2}{1~mol~CH_4}=1.53~moles~CH_2Cl_2[/tex]

We wil have [tex]1.53~moles~CH_2Cl_2[/tex].

I hope it helps!