What is the horsepower of a boiler with a capacity of 35,500 lbs steam/hour and an evaporation rate of 10 psi?

To determine the horsepower of a boiler based on its steam production capacity and evaporation rate, it's essential to understand the relationship between these factors. The horsepower of a boiler can be calculated using the formula:

[

\text{Horsepower} = \frac{\text{Btu/hr}}{33,475}

]

First, you need to convert the steam generation capacity from pounds per hour to Btu per hour. The energy required to convert water into steam is based on the latent heat of vaporization, which is approximately 1,000 Btu for each pound of steam produced at standard conditions.

Given that the boiler can produce 35,500 lbs of steam per hour, the total heat input can be calculated as:

[

35,500 , \text{lbs/hr} \times 1,000 , \text{Btu/lb} = 35,500,000 , \text{Btu/hr}

]

Next, using the horsepower formula:

[

\text{Horsepower} = \frac{35,500,000 , \text{Btu/hr}}{33,475} \approx 1,060.1

]

This figure rounds to approximately 1,