Chapter 8, Problem 33QAP

A lead ore, galena, consisting mainly of lead(II) sulfide, is the principal source of lead. To obtain the lead, the ore is first heated in the air to form lead oxide.

$\text{PbS}\left(s\right)+\frac{3}{2}{\text{O}}_2\left(g\right)\to \text{PbO}\left(s\right)+{\text{SO}}_2\left(g\right)\Delta H=-415.4\text{kJ}$

The oxide is then reduced to metal with carbon.

$\text{PbO}\left(s\right)+\text{C}\left(s\right)\to \text{Pb}\left(s\right)+\text{CO}\left(g\right)\Delta H=+108.5\text{kJ}$Calculate ΔH for the reaction of one mole of lead(II) sulfide with oxygen and carbon, forming lead, sulfur dioxide, and carbon monoxide.