**Reaction****:**

C_{6}H_{5}—CH_{2}CH_{3} → C_{6}H_{5}—CH=CH_{2} + H_{2}

(C_{7}H_{10}) (C_{7}H_{8})

**Step 1:** We can use the following equation to solve for **ΔH˚ _{rxn}**:

**ΔH˚ _{f} H_{2} = 0 kJ/mol**

$\overline{){\mathbf{\Delta H}}{{\mathbf{\xb0}}}_{{\mathbf{rxn}}}{\mathbf{=}}{\mathbf{\Delta H}}{{\mathbf{\xb0}}}_{\mathbf{f}\mathbf{,}\mathbf{}\mathbf{prod}}{\mathbf{-}}{\mathbf{\Delta H}}{{\mathbf{\xb0}}}_{\mathbf{f}\mathbf{,}\mathbf{}\mathbf{react}}}$

$\mathbf{\Delta H}{\mathbf{\xb0}}_{\mathbf{rxn}}\mathbf{=}\left[\mathbf{(}\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{C}}_{\mathbf{7}}{\mathbf{H}}_{\mathbf{8}}}\mathbf{)}\left(\frac{\mathbf{103}\mathbf{.}\mathbf{8}\mathbf{}\mathbf{kJ}}{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{C}}_{\mathbf{7}}{\mathbf{H}}_{\mathbf{8}}}}\right)\mathbf{+}\mathbf{0}\right]\phantom{\rule{0ex}{0ex}}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{-}\left[\mathbf{(}\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{C}}_{\mathbf{7}}{\mathbf{H}}_{\mathbf{10}}}\mathbf{)}\left(\frac{\mathbf{-}\mathbf{12}\mathbf{.}\mathbf{5}\mathbf{}\mathbf{kJ}}{\mathbf{1}\mathbf{}\overline{)\mathbf{mol}\mathbf{}{\mathbf{C}}_{\mathbf{7}}{\mathbf{H}}_{\mathbf{10}}}}\right)\right]$

**ΔH° _{rxn} = 116.3 kJ/mol**

**Step 2:** We can use the following equation to solve for **ΔG˚ _{rxn}**:

**ΔG˚ _{f} H_{2} = 0**

$\overline{){\mathbf{\Delta G}}{{\mathbf{\xb0}}}_{{\mathbf{rxn}}}{\mathbf{=}}{\mathbf{\Delta G}}{{\mathbf{\xb0}}}_{\mathbf{f}\mathbf{,}\mathbf{}\mathbf{prod}}{\mathbf{-}}{\mathbf{\Delta G}}{{\mathbf{\xb0}}}_{\mathbf{f}\mathbf{,}\mathbf{}\mathbf{react}}}$

Styrene is produced by catalytic dehydrogenation of ethylbenzene at high temperature in the presence of superheated steam.

(a) Find ΔH°_{rxn}, ΔG°_{rxn}, and ΔS°_{rxn}, given these data at 298 K:

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