Kerepakupai Vena in Venezuela, more commonly known as Angel Falls, is the world\
ID: 1483968 • Letter: K
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 17.1°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).
Explanation / Answer
From conservation of energy, the Potential Energy is converted to heat energy
Apply Q = mc(delta T) and PE = mgh
mc(delta T) = mgh (mass cancels)
1 kcal/kgC converts to 4186 J/kgC (this is c)
(4186)(17.1 - T1) = (9.8)(807)
17.1 - T1 = 9.8*807/4186
T1 = 17.1 - 1.89
T1 = 15.21 degrees celsius
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