Saturday, July 19, 2008

Calculate the heat energy needed to change the temperature of 2 kg of copper from 10°C to 110°C.

The specific heat (or the amount of heat required to raise the temperature of a unit mass of a substance by 1 degree Celsius) of copper is about 0.386 J/g/degree Celsius. This means that if we supply 0.386 J of energy to 1 gram of copper, its temperature will increase by 1 degree Celsius.


In this question, we are given 2 kg or 2,000 g of copper and the temperature changes from 10 degree Celsius to 110 degree Celsius. The amount of heat required is calculated as:


Heat requirement = mass x specific heat x temperature change


= 2,000 gm x 0.386 J/gm/degree C x (110 - 10) degree C


=  77,200 J = 77.2 kJ.


Thus, 77.2 kJ of heat energy is required to heat 2 kg of copper from 10 degree Celsius to 110 degree Celsius.


Hope this helps. 

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