Chapter 9, Problem 63E

Given the following data:

${\text{C}}_{\text{2}}{\text{H}}_{\text{2}}\left(\text{g}\right)\text{ + }\frac{\text{5}}{\text{2}}{\text{O}}_{\text{2}}\left(\text{g}\right)\to {\text{ 2CO}}_{\text{2}}\left(\text{g}\right){\text{ + H}}_{\text{2}}\text{O}\left(\text{l}\right)\text{ ΔH = —1300}\text{. kJ}$

$\text{C}\left(\text{s}\right){\text{ + O}}_{\text{2}}\left(\text{g}\right)\to {\text{ CO}}_{\text{2}}\left(\text{g}\right)\text{ ΔH = —394 kJ}$

${\text{H}}_{\text{2}}\left(\text{g}\right)\text{ + }\frac{1}{2}{\text{O}}_{\text{2}}\left(\text{g}\right)\to {\text{H}}_{\text{2}}\text{O}\left(\text{l}\right)\text{ ΔH = —286 kJ}$

calculate $\text{ΔH}$ for the reaction

$\text{2C}\left(\text{s}\right){\text{ + H}}_{\text{2}}\left(\text{g}\right)\to {\text{ C}}_{\text{2}}{\text{H}}_{\text{2}}\left(\text{g}\right)$