5-27
5-39 A cylinder is initially filled with saturated liquid water at a specified pressure. The water is heated
electrically as it is stirred by a paddle-wheel at constant pressure. The voltage of the current source is to be
determined, and the process is to be shown on a P-v diagram.
Assumptions 1 The cylinder is stationary and thus the kinetic and potential energy changes are zero. 2 The
cylinder is well-insulated and thus heat transfer is negligible. 3 The thermal energy stored in the cylinder
itself is negligible. 4 The compression or expansion process is quasi-equilibrium.
Analysis We take the contents of the cylinder as the system. This is a closed system since no mass enters
or leaves. The energy balance for this stationary closed system can be expressed as
E E
in
out
Net energy transfer
by heat, work, and mass
We,in W pw,in W b,out
'E system
Change in internal, kinetic,
potential, etc. energies
'U
(since Q = KE = PE = 0)
We,in W pw,in
m(h2 h1 )
( VI't ) W pw,in
m(h2 h1 )
H 2O
P = const.
since 'U + Wb = 'H during a constant pressure quasi-equilibrium
process. The properties of water are (Tables A-4 through A-6)
Wpw
We
175 kPa ½ h1 h f @175 kPa 487.01 kJ/kg
¾
3
sat.liquid
¿ v1 v f @175 kPa 0.001057 m /kg
P2 175 kPa ½
¾ h2 h f x2 h fg 487.01 0.5 u 2213.1 1593.6 kJ/kg
x2 0.5
¿
P1
m
V1
v1
0.005 m3
0.001057 m3/kg
P
4.731 kg
Substituting,
VI't (400kJ)
VI't
V
(4.731 kg)(1593.6 487.01)kJ/kg
4835 kJ
§ 1000 VA ·
4835 kJ
¨
¸
(8 A)(45 u 60 s) ¨© 1 kJ/s ¸¹
223.9 V
1
2
v
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