Answer: The ΔH of the reaction if 51.3 g of [tex]CH_4[/tex] reacts with excess [tex]Cl_2[/tex] to yield 1387.6 kJ is 432.27kJ
Explanation:
To calculate the moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}[/tex]
moles of [tex]CH_4[/tex]
[tex]\text{Number of moles of methane}=\frac{51.3g}{16g/mol}=3.21moles[/tex]
[tex]CH_4+4Cl_2\rightarrow CCl_4+4HCl[/tex] [tex]\Delta H=?[/tex]
As [tex]Cl_2[/tex] is present in excess, [tex]CH_4[/tex] is the limiting reagent as it limits the formation of product.
If 3.21 moles of methane releases heat = 1387.6 kJ
Thus 1 mole of methane release=[tex]\frac{1387.6}{3.21}\times 1=432.27kJ[/tex]