A Possible Reaction of Ethane with Chlorine Is Shown Below

A possible reaction of ethane with chlorine is shown below. $$\mathrm { CH } _ { 3 } \mathrm { CH } _ { 3 } + \mathrm { Cl } _ { 2 } \longrightarrow \mathrm { CH } _ { 3 } \mathrm { CH } _ { 2 } \mathrm { Cl } + \mathrm { HCl }$$ This reaction could conceivably occur by the following chain mechanisms [1], [2], and [3]. Determine $\Delta$ H for step [1]. [1] $\mathrm { Cl } _ { 2 } \longrightarrow 2 \mathrm { Cl } \cdot$
[2] $\mathrm { Cl } \cdot + \mathrm { CH } _ { 3 } \mathrm { CH } _ { 3 } \stackrel { \text { slow } } { \longrightarrow } \mathrm { HCl } + \mathrm { CH } _ { 3 } \mathrm { CH } _ { 2 } ^ \cdot$
[3] $\mathrm { CH } _ { 3 } \mathrm { CH } _ { 2 } ^ \cdot+ \mathrm { Cl } _ { 2 } \stackrel { \text { fast } } { \longrightarrow } \mathrm { CH } _ { 3 } \mathrm { CH } _ { 2 } \mathrm { Cl } + \mathrm { Cl }\cdot$ . Bond dissociation energies (kcal/mol) : $$\begin{array} { | l | l | } \hline \text { Bond A-B } & \Delta \mathrm { H } \\\hline \mathrm { Cl } - \mathrm { Cl } & 58 \\\mathrm { CH } _ { 3 } - \mathrm { H } & 104 \\\mathrm { CH } _ { 3 } \mathrm { CH } _ { 2 } - \mathrm { H } & 98 \\\mathrm { CH } _ { 3 } - \mathrm { CH } _ { 3 } & 88 \\\mathrm { CH } _ { 3 } - \mathrm { Cl } & 84 \\\mathrm { H } - \mathrm { Cl } & 103 \\\hline\end{array}$$

A) -5 kcal/mol
B) +58 kcal/mol
C) -28 kcal/mol
D) None of the choices are correct.