One can perform heat balance.
Heat input |
(kcal) |
Heat output |
(kcal) |
Heat of reaction |
562539 |
Exit gas |
871289 |
Sensible heat |
200687 |
Lead |
9069 |
Heat of slag formation |
30602 |
Slag |
68481 |
Total |
793828 |
Heat losses* |
79382
1028221 |
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- Heat losses are normally taken as
 of heat inputs if not mentioned in the problem.
We note there is heat deficit to the amount 234393 kcal. There are several ways to meet the heat deficit. One of the ways is to preheat the air. If average Cp of air is  then Preheat air temperature is  .
Analysis of heat balance
54.8% of the total heat is supplied through the heat of reaction. Preheating of air and the reactants bring 22.8% and 19.5% respectively of the total heat requirements. Heat supplied due to formation of slag is 2.9% of total requirement.
Heat carried by Zn vapor = 21.7%; vapors are shocked and heat recovery is within lead bath.
Amount of heat is carried away by gases  which is equal to 63.1%. Once the gases are shock cooled, temperature of gases must come down. Information on this temperature will help to consider waste heat recovery
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