The equipment needs to produce 10750 Btu per hour to raise the temperature of 2000 lbs of aluminum from 75°F to 100°F.
The specific heat capacity of aluminum is 0.215 Btu/lb°F. This means it takes 0.215 Btu to raise the temperature of 1 pound of aluminum by 1 degree Fahrenheit.
Calculating the total heat required (in Btu):
* Temperature difference = 100°F - 75°F = 25°F
* Total heat required = 2000 lbs * 0.215 Btu/lb°F * 25°F = 10750 Btu
Converting the total heat required to Btu per hour (assuming the equipment operates continuously for an hour):
Btu per hour = total heat / time = 10750 Btu / 1 hour = 10750 Btu/hour
Therefore, the equipment needs to produce 10750 Btu per hour to raise the temperature of 2000 lbs of aluminum from 75°F to 100°F.