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Question

2000 J of energy is needed to heat 1 kg of paraffin through 1oC . How much energy is needed to heat 10 kg of paraffin through 2oC ?

A
4000J
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B
10,000J
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C
20,000J
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D
40,000J
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Solution

The correct option is D 40,000J
The heat energy required to raise the temperature of unit mass of substance through unit degree is called specific heat of substance . As given 2000J energy is needed to heat 1 kg of paraffin through 1oC, therefore specific heat of paraffin will be 2000J/kgoC.
Now, heat energy required to raise the temperature of mass m of substance (specific heat c) through Δt is given by ,
Q=mcΔt,
Given: m=10kg,Δt=2oC,c=2000J/kgoC
Q=10×2000×2=40,000J

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