(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)

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.5P: Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen,...
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 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)
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
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: 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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