(10 blanks) If the gravitational potential energy of the water is equal to the increase in the internal energy of the water, compute the change in its temperature (in Kelvin), if water drops from a height of 50 m. Assume no work is done on/by the water (C = 4184 J/kg K)

(10 blanks) If the gravitational potential energy of the water is equal to the increase in the internal energy of the water, compute the change in its temperature (in Kelvin), if water drops from a height of 50 m. Assume no work is done on/by the water (C = 4184 J/kg K)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 42P

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Question

(10 blanks) If the gravitational potential energy of the water is equal to the increase in the internal energy of the water, compute the change in its temperature (in Kelvin), if water
drops from a height of 50 m. Assume no work is done on/by the water (C = 4184 J/kg K)
Sol.
Using the first law of thermodynamics:
A U=Q -
Since
W =
Then
A U=Q
But, by virtue of the problem, the internal energy is equal to
AU=
While
Q =
AT
Then
h=
ΔΤ
AT =
K (2 decimal place)
%3D

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