The enthalpy of the reaction is the amount of energy absorbed or lost in the reaction. The enthalpy of the final reaction is -113.4 kJ.
The intermediate reactions are the small reactions that takes place in order to achieve the final reaction product.
The given intermediate reactions are:
[tex]\rm CH_4\;\rightarrow\;C\;+\;2\;H_2......\Delta H_1=74. 8\;kJ\\CCl_4\;\rightarrow\;C\;+\;2\;Cl_2......\Delta H_2=95. 7\;kJ\\H_2\;+\;Cl_2\;\rightarrow\;2\;HCl......\Delta H_3=-92. 3\;kJ[/tex]
The final reaction to be achieved is:
[tex]\rm CH_4\;+\;4\;Cl_2\;\rightarrow\;CCl_4\;+\;4\;HCl[/tex]
The second reaction is reversed in order to achieve the final reaction product.
The enthalpy of the final reaction ([tex]\Delta H_{rxn}[/tex]) is given as:
[tex]\Delta H_{rxn}=\Delta H_1-\Delta H_2+\Delta H_3[/tex]
Substituting the values of enthalpy:
[tex]\Delta H_{rxn}= 74. 8-95. 7+(-92. 3)\text k\text J\\\Delta H_{rxn}=-113.4\;\rm kJ[/tex]
The final enthalpy of the reaction is -113.4 kJ. Thus, option B is correct.
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