How much energy is required to raise the temperature of a 0.50kg object with a specific heat capacity of 4200J/(kg ∘ C) by 40 ∘ C?
Question
How much energy is required to raise the temperature of a 0.50kg object with a specific heat capacity of 4200J/(kg ∘ C) by 40 ∘ C?
Solution
The energy required to change the temperature of an object can be calculated using the formula:
Q = mcΔT
where: Q = heat energy (Joules, J) m = mass (kilograms, kg) c = specific heat capacity (Joules per kilogram per degree Celsius, J/kg°C) ΔT = change in temperature (degrees Celsius, °C)
Given: m = 0.50 kg c = 4200 J/kg°C ΔT = 40°C
Substitute the given values into the formula:
Q = (0.50 kg) * (4200 J/kg°C) * (40°C)
Q = 84000 J
Therefore, 84000 Joules of energy is required to raise the temperature of the 0.50 kg object by 40°C.
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