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Question

calculate the increase in temperature of water which falls from a height of 100m assume that 90% of the energy due to the fall is converted into heat heat and retained by water

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Solution

Dear Student ,
Let us assume that mg amount of water falls from a height of 100 m .
So the work done is ,W=mgh=m×9·8×100 JNow 90% of energy is converted in to heat and it is retained by the water .So the et us take that after taking this heat the increase in temperature is t°C .Therefore , heat generated=m×1×t=mt joule Now according to the question ,W=JHm×9·8×100×90100=mt×4·2t=90×9·84·2=210°C
Regards

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