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

ID: 1614784 • Letter: K

Question

Kerepakupal 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 19.9 degree 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 middot degree C). ____________ degree C

Explanation / Answer

Given Data

longest plunge, h = 807 m

temperature , T 2 = 19.9 deg C

specific heat of water , c = 1 kcal/kg deg C

since 1 cal = 4.186 J, So 1 kcal = 4.186*1000 = 4186 J

So converted value is c = 4186 J/kg deg C

Solution : -

m*g*h = m*c*delta T

m*g*h = m*c*(T2 - T1)

"m" cancels on both sides

g*h = c*(T2 - T1)

9.8*807 = 4186*(19.9 - T1)

=> 19.9 - T1 = 9.8*807/4186

=> 19.9 - T1 = 1.89

T1 = 19.9 - 1.89

T1 = 18.01 degrees celsius