Chapter 4 | 175
Use actual data from the experiment
shown here to verify the first law of
thermodynamics.See end-of-chapter
problem 4 –177.
© Ronald Mullisen
Use actual data from the experiment
shown here to verify the first law of
thermodynamics.See end-of-chapter
problem 4 –176.
© Ronald Mullisen
Analysis We take the contents of the cylinder, including the resistance wires,
as the system(Fig. 4–13). This is a closed systemsince no mass crosses the
system boundary during the process. We observe that a piston–cylinder device
typically involves a moving boundary and thus boundary work Wb. The pres-
sure remains constant during the process and thus P 2 P 1. Also, heat is lost
from the system and electrical work Weis done on the system.
(a) This part of the solution involves a general analysis for a closed system
undergoing a quasi-equilibrium constant-pressure process, and thus we con-
sider a general closed system. We take the direction of heat transfer Qto be
to the system and the work Wto be done by the system. We also express the
work as the sum of boundary and other forms of work (such as electrical and
shaft). Then the energy balance can be expressed as
Net energy transfer Change in internal, kinetic,
by heat, work, and mass potential, etc., energies
For a constant-pressure process, the boundary work is given as Wb
P 0 (V 2 V 1 ). Substituting this into the preceding relation gives
However,
Also HUPV, and thus
(4–18)
which is the desired relation (Fig. 4–14). This equation is very convenient to
use in the analysis of closed systems undergoing a constant-pressure quasi-
equilibrium process since the boundary work is automatically taken care of
by the enthalpy terms, and one no longer needs to determine it separately.
QWotherH 2 H 1 ¬¬ 1 kJ 2
P 0 P 2 P 1 ¬S¬QWother 1 U 2 P 2 V 22 1 U 1 P 1 V 12
QWotherP 01 V 2 V 12 U 2 U 1
QWotherWbU 2 U 1
QW¢U¢KE¢PE
EinEout¬
¬
¢Esystem
Qout = 3.7 kJ
H 2 O
5 min
120 V
0.2 A
2
P, kPa
300
1
P 1 = P 2 = 300 kPa
m = 25 g
Sat. vapor
v
FIGURE 4 –13
Schematic and P-vdiagram for Example 4 –5.
¡
0
¡
0
⎭⎪⎬⎪⎫ ⎭⎪⎬⎪⎫
EXPERIMENT
EXPERIMENT