Final answer:
To raise the temperature of 390 kg of copper by 100°C, 15,210,000 joules of heat are required. The amount of heat is determined by the formula q = mc∆T, and for copper, the specific heat is 0.39 J/g°C.
Step-by-step explanation:
To calculate the amount of heat required to raise the temperature of a substance, you can use the formula q = mc∆T, where q is the heat transfer, m is the mass of the substance, and ∆T is the change in temperature. For copper, the specific heat (c) is 0.39 J/g°C.
Example Calculation
Suppose we have a 390 kg (390,000 g) block of copper and we want to raise its temperature by 100°C. The heat required, using the specific heat of copper, can be calculated as follows:
q = mc∆T
q = (390,000 g)(0.39 J/g°C)(100°C)
q = 15,210,000 J
Therefore, 15,210,000 joules of heat are required to raise the temperature of 390 kg of copper by 100°C.