What is the horsepower of a boiler that has an evaporation rate of 10 lb/ft² of heating surface per hour and can produce 35,500 #/hr?

To determine the horsepower of a boiler using its evaporation rate and output capacity, one must understand the relationship between these measurements. Horsepower in the context of steam boilers is often calculated based on the amount of steam produced.

The general formula to find the horsepower of a boiler is:

[

\text{Horsepower} = \frac{\text{Output (lbs/hr)}}{34.5}

]

This formula is based on the fact that one horsepower is defined as the ability to evaporate 34.5 pounds of water into steam per hour at a temperature of 212°F.

In this scenario, the boiler can produce 35,500 pounds of steam per hour. Plugging this value into the formula, we calculate:

[

\text{Horsepower} = \frac{35,500 , \text{lbs/hr}}{34.5} \approx 1029.89 , \text{HP}

]

This value rounds to approximately 1000 HP, making the second option the correct one.

It's important to note that other choices like 800 HP, 1200 HP, or 1500 HP do not align with the calculated output based on the evaporation rate and convert them to horsepower using