Kerepakupai Vena in Venezuela, more commonly known as Angel Falls, is the world\

Question

Kerepakupai Vena in Venezuela, more commonly known as Angel Falls, is the world's highest waterfall with a height of 979 m and 47 different plunges. The longest plunge (for the water) is 807 m. At the bottom of the fall, the kinetic energy of the water is converted into thermal energy. This results in a temperature increase of the water. If the water has a temperature of 13.9°C when it gets to the bottom of the plunge, what was the temperature at the top of the plunge? The specific heat of water is 1.00 kcal/(kg · °C). 11.6 and 16.19 degress C are not correct

Explanation / Answer

from the conservation of energy , the potential energy of hte water converted as heat energy

Q = mc delT

PE = mgh

mgh = mc delT

c del T = gh

c ( Tf- Ti) = gh

Tf- Ti = gh/c

= 9.8( 807)/4186 J/kg C

=1.88

13.9- Ti = 1.88

Ti = 12.02 C

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