Answer :
Final answer:
The amount of heat required to raise the temperature of 10 pounds of copper from 100°F to 150°F is 45 BTU (option A), using the formula Q = mc∆T with a specific heat capacity for copper of 0.09 BTU/lb°F.
Explanation:
The calculation of the heat required to change the temperature of a substance can be performed using the formula Q = mc∆T, where Q is the heat in BTUs, m is the mass of the substance in pounds, c is the specific heat capacity in BTU/(lb°F), and ∆T is the change in temperature in degrees Fahrenheit. For this particular case involving copper, the mass (m) is 10 lbs, the specific heat capacity (c) of copper is 0.09 BTU/lb°F, and the temperature change (∆T) is from 100°F to 150°F, which is a 50°F increase.
Using the values provided:
- Q = mc∆T
- Q = (10 lbs) (0.09 BTU/lb°F) (50°F)
- Q = 45 BTU
Therefore, the amount of heat required to raise the temperature of 10 pounds of copper from 100 degrees Fahrenheit to 150 degrees Fahrenheit is 45 BTU.
