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The highest recorded waterfall in the world is found at Angel Fallsin Venezuela.

ID: 1469435 • Letter: T

Question

The highest recorded waterfall in the world is found at Angel Fallsin Venezuela. Its longest single waterfall has a height of 807 m.If water at the top of the falls is at 15.0°C, how high would a waterfall need to be for the water hitting the bottom to have a maximum temperature of 25.0 degrees Celsius if the water at the top is 15.0 degrees Celsius? Assume all the kinetic energy of the water as it reaches the bottom goes into raising the water's temperature.

options: a. 2.14 km b. 6.41 km c. 4.27 km d. 6.28 km e. 4.19 km

Explanation / Answer


heat required to raise the temperature = Q = m*C*dT

potential energy at height h = m*g*H

from energy conservation

m*g*H = m*C*dT

9.8*H = 4190*(25-15)


H = 4.2 km