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Question

Water falls from a height o 500m what is the rise in temp of water at bottom of whole energy remains in the water

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Solution

When there is height, there is potential energy associated.
Since water is falling from a height, potential energy is stored in water.
Consider the case of 1kg of water.
E=mgh
where m=1kg, g=9.8, h=500m(given)
E=1×9.8×500
E=4900 J
This is the energy stored in water as Q.
Specifc heat of water is c=4180 J/(kg K)
But specific heat
Q= mc ∆t
​​​​​​thus ∆t=Q/mc
∆t=4900/1×4180

∆t=1.17 K

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