How much heat in BTU is required to change the temperature of 10 lb of copper from 100°F to 150°F?

To determine the amount of heat required to change the temperature of a material, the specific heat formula can be applied, which is given by:

[ \text{Heat (BTU)} = \text{Mass (lb)} \times \text{Specific Heat (BTU/lb°F)} \times \Delta T (°F) ]

For copper, the specific heat is approximately 0.095 BTU/lb°F. In this scenario, the mass of the copper is 10 lb, and the temperature change ((\Delta T)) is from 100°F to 150°F, resulting in a temperature difference of:

[ \Delta T = 150°F - 100°F = 50°F ]

Now, applying the values into the formula:

[ \text{Heat} = 10 , \text{lb} \times 0.095 , \text{BTU/lb°F} \times 50°F ]

Calculating this step by step:

1. First, multiply the specific heat by the mass:

[ 10 , \text{lb} \times 0.095 , \text{BTU/lb°F} = 0.95 \