The heat capacity of a piece of copper is 200 J°C-1. What is the amount of heat required to raise its temperature from 30 °C to 100 °C?
Question
The heat capacity of a piece of copper is 200 J°C⁻¹. What is the amount of heat required to raise its temperature from 30 °C to 100 °C?
Solution
To calculate the amount of heat required, we can use the formula:
Q = mcΔT
where: Q = heat energy m = mass c = heat capacity ΔT = change in temperature
In this case, we are not given the mass (m) of the copper piece, but we know the heat capacity (c) is 200 J°C-1 and the change in temperature (ΔT) is 100°C - 30°C = 70°C.
So, the formula becomes:
Q = 200 J°C-1 * 70°C
Q = 14000 Joules
Therefore, the amount of heat required to raise the temperature of the piece of copper from 30°C to 100°C is 14000 Joules.
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