On his honeymoon, James Joule attempted to explore therelationships between vari

Question

On his honeymoon, James Joule attempted to explore therelationships between various forms of energy by measuring the riseof temperature of water which had fallen down a waterfall on MountBlanc. What maximum temperature rise would one expect for awaterfall with a vertical drop of 21.0 m?
Change in Temperature in Celsius degrees? On his honeymoon, James Joule attempted to explore therelationships between various forms of energy by measuring the riseof temperature of water which had fallen down a waterfall on MountBlanc. What maximum temperature rise would one expect for awaterfall with a vertical drop of 21.0 m?
Change in Temperature in Celsius degrees?

Explanation / Answer

The waterfall, as it falls 21.0m, would convert its potentialenergy at the top to heat energy at the bottom. The potentialenergy change is equal to mgh, and the heat energy change is equalto mcT. We set these equal to each other: mgh = mcT T = gh/c = (9.8 m/s2)(21.0 m)/(4186J/(kg*Co)) = 0.0492oC

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