How many Btu of heat must be added to 1200 lb of copper to raise its temperature from 100°F to 450°F
To find the amount of heat required to raise the temperature of a substance, we can use the heat capacity equation:
Q = m * c * ΔT
Where:
Q: Heat energy (in BTU)
m: Mass of the substance (in pounds)
c: Specific heat capacity of the substance (in BTU/lb°F)
ΔT: Change in temperature (in °F)
In this case, we need to find the heat energy (Q), so we can rearrange the equation:
Q = m * c * ΔT
First, let's find the specific heat capacity of copper. The specific heat capacity of copper is approximately 0.092 BTU/lb°F.
Now we can calculate the heat energy required:
Q = 1200 lb * 0.092 BTU/lb°F * (450°F - 100°F)
Q = 1200 lb * 0.092 BTU/lb°F * 350°F
Q ≈ 3,948 BTU
Therefore, approximately 3,948 BTU of heat must be added to 1200 lb of copper to raise its temperature from 100°F to 450°F.