Respuesta :
Answer: a) The maximum amount of dichloromethane [tex](CH_2Cl_2)[/tex] that can be formed is 29 grams.
b) The formula for the limiting reagent is [tex]CH_4[/tex]
c) Amount of the excess reagent i.e [tex]CCl_4[/tex] remains after the reaction is complete is 0.02 moles.
Explanation:
To calculate the moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}[/tex]
a) moles of [tex]CH_4[/tex]
[tex]\text{Number of moles}=\frac{2.69g}{16g/mol}=0.17moles[/tex]
b) moles of [tex]CCl_4[/tex]
[tex]\text{Number of moles}=\frac{30.5g}{153.9g/mol}=0.19moles[/tex]
The balanced chemical equation will be:
[tex]CH_4+CCl_4\rightarrow 2CH_2Cl_2[/tex]
According to stoichiometry :
1 mole of [tex]CH_4[/tex] require 1 mole of [tex]CCl_4[/tex]
Thus 0.17 mole of [tex]CH_4[/tex] require=[tex]\frac{1}{1}\times 0.17=0.17moles[/tex] of [tex]CCl_4[/tex]
Thus [tex]CH_4[/tex] is the limiting reagent as it limits the formation of product and [tex]CCl_4[/tex] is the excess reagent as (0.19-0.17) =0.02 moles of [tex]CCl_4[/tex] are left unreacted.
As 1 moles of [tex]CH_4[/tex] give = 2 moles of [tex]CH_2Cl_2[/tex]
Thus 0.17 moles of [tex]CH_4[/tex] give =[tex]\frac{2}{1}\times 0.17=0.34moles[/tex] of [tex]CH_2Cl_2[/tex]
Mass of [tex]CH_2Cl_2=moles\times {\text {Molar mass}}=0.34moles\times 84.93g/mol=29g[/tex]
Thus 29 g of [tex]CH_2Cl_2[/tex] will be produced from the given masses of both reactants.