-390.3 KJ is the Hrxn for the reaction [tex]CH_4(g) + 4Cl_2(g)[/tex] → [tex]CCl_4(l) + HCl(g).[/tex]
Hess's Law of Constant Heat Summation (or just Hess's Law) states that regardless of the multiple stages or steps of a reaction, the total enthalpy change for the reaction is the sum of all changes.
For Hess's Law, we need to get the corresponding equation below using the sequence of reactions given
By manipulating the reaction, either reversing them or multiplying/dividing them to a certain factor, we can get to the target equation as well as the total enthalpy.
[tex]CH_4(g) + 4Cl_2(g)[/tex] → [tex]CCl_4(g) + 4HCl(g)[/tex]
[tex]C(s) + 2H_2(g)[/tex] → [tex]CH_4(g[/tex]) ΔH = −74.6kJ (needs to reverse)
[tex]C(s) + 2Cl_2(g)[/tex] → [tex]Cl_4(g)[/tex] ΔH = −95.7kJ (retain)
[tex]H_2(g) + Cl_2(g)[/tex] → [tex]2HCl(g)[/tex] ΔH = −184.6kJ (multiply by 2 to get [tex]4Cl_2[/tex]and cancel out 4 HCl and [tex]4 H_2[/tex])
Therefore, it is -390.3 KJ.
Hence, -390.3 KJ is the Hrxn for the reaction [tex]CH_4(g) + 4Cl_2(g)[/tex] → [tex]CCl_4(l) + HCl(g).[/tex]
Learn more about the Hess's Law here:
https://brainly.com/question/26491956
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