Copper is a type of metal. A block of copper has a mass of 2.0 kg. The block of copper absorbs 12000 J of thermal energy. The specific heat capacity of copper is 385 J/(kg°C). What is the temperature rise of the copper?
Question
Copper is a type of metal. A block of copper has a mass of 2.0 kg. The block of copper absorbs 12000 J of thermal energy. The specific heat capacity of copper is 385 J/(kg°C). What is the temperature rise of the copper?
Solution
To find the temperature rise of the copper, we can use the formula for heat transfer:
Q = mcΔT
where: Q = heat energy absorbed by the object (in joules) m = mass of the object (in kilograms) c = specific heat capacity of the substance (in joules per kilogram per degree Celsius) ΔT = change in temperature (in degrees Celsius)
We are given: Q = 12000 J m = 2.0 kg c = 385 J/(kg°C)
We need to find ΔT. Rearranging the formula, we get:
ΔT = Q / (mc)
Substituting the given values:
ΔT = 12000 J / (2.0 kg * 385 J/(kg°C)) = 15.58°C
So, the temperature rise of the copper is approximately 15.58 degrees Celsius.
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