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Calculate the amount of heat in BTU required to change the temperature of 10 lbs of copper from 100 degrees Fahrenheit to 150 degrees Fahrenheit. The specific heat of copper is 0.09 BTU/lb°F.

A) 45 BTU
B) 50 BTU
C) 55 BTU
D) 60 BTU

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.

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