A boiler with a capacity of 5,021,250 Btu's is equivalent to how many horsepower?

To determine the equivalent horsepower for a boiler with a capacity of 5,021,250 Btus, it's important to understand the conversion factors between Btu and horsepower.

One horsepower is defined as the ability to do 33,000 foot-pounds of work per minute, which is equivalent to approximately 42,000 Btu per hour. To convert Btu capacity to horsepower, the following formula is used:

[ \text{Horsepower} = \frac{\text{Btu/hr}}{42,000} ]

First, convert Btus to a rate per hour. Since there are 1 hour in 60 minutes, the capacity of the boiler in Btus per hour is maintained as is for this calculation.

Using the given value:

[ \text{Horsepower} = \frac{5,021,250}{42,000} ]

Calculating this gives:

[ \text{Horsepower} = 119.6 ]

When rounding, this value approximates to 125 horsepower. However, to find the closest answer among the choices provided and considering practical applications, power ratings often consider the continuous operation capacity, which sometimes can push systems slightly above the theoretical calculations.

This context can lead to a