(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 AU=Q But, by virtue of the problem, the internal energy is equal to AU = While Q = ΔΤ Then h= ΔΤ. AT = K %3D (2 decimal place)

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Chapter3: The First Law Of Thermodynamics
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Problem 56P: Consider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus...
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(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 =
AT
Then
h=
AT
AT =
K
(2 decimal place)
Transcribed Image Text:(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 = AT Then h= AT AT = K (2 decimal place)
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