If 500 thousand btus of energy are available to raise the temperature of a water boiler from 20°f to 100°f, how many gallons of water can be added to the boiler?

In this question, you are given the energy (500,000btus) and the temperature difference (100F-20F = 80F). You are asked to find the volume of water.

1 BTU mean 1 degree of F increased for 1 pound mass. First, we can calculate the mass of the water in lb unit. The calculation would be:

mass = energy/temperature increase = 500,000/80 = 6250lb.

Then we need to convert the weight into gallons. The calculation would be:

6250lb x kg/2.204lb x 1kg/m3 x 264.172 gallons/m3 = 3638969.3 gallons