(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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Concept explainers

First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of energy. Energy transfer is something that we encounter in day-to-day life. Automobiles, chemical reactions, refrigerators, and power generators work on the basis of thermodynamic principles.

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:
AU=Q -
Since
W =
Then
AU=Q
But, by virtue of the problem, the internal energy is equal to
AU =
While
Q =
ΔΤ
Then
h=
ΔΤ
AT =
K (2 decimal place)

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