The net work output of this power plant is simply the difference between
the total work output of the plant and the total work input (Fig. 6–11):
(6–1)
The net work can also be determined from the heat transfer data alone. The
four components of the steam power plant involve mass flow in and out, and
therefore they should be treated as open systems. These components, together
with the connecting pipes, however, always contain the same fluid (not count-
ing the steam that may leak out, of course). No mass enters or leaves this com-
bination system, which is indicated by the shaded area on Fig. 6–10; thus, it
can be analyzed as a closed system. Recall that for a closed system undergoing
a cycle, the change in internal energy Uis zero, and therefore the net work
output of the system is also equal to the net heat transfer to the system:
(6–2)
Thermal Efficiency
In Eq. 6–2,Qoutrepresents the magnitude of the energy wasted in order to
complete the cycle. But Qoutis never zero; thus, the net work output of a heat
engine is always less than the amount of heat input. That is, only part of the
heat transferred to the heat engine is converted to work. The fraction of the
heat input that is converted to net work output is a measure of the perfor-
mance of a heat engine and is called the thermal efficiencyhth(Fig. 6–12).
For heat engines, the desired output is the net work output, and the
required input is the amount of heat supplied to the working fluid. Then the
thermal efficiency of a heat engine can be expressed as
Thermal efficiency (6–3)
Net work output
Total heat input
Wnet,outQinQout¬¬ 1 kJ 2
Wnet,outWoutWin¬¬ 1 kJ 2
Chapter 6 | 283
System boundary
Boiler
Pump Turbine
Qout
Win
Wout
Qin
Energy source
(such as a furnace)
Energy sink
(such as the atmosphere)
Condenser
FIGURE 6–10
Schematic of a steam power plant.
HEAT
ENGINE
Wout Wnet,out
Win
FIGURE 6–11
A portion of the work output of a heat
engine is consumed internally to
maintain continuous operation.
Heat input
100 kJ 100 kJ
1
Net
work
output
20 kJ
(^2) Net
work
output
30 kJ
Waste heat SINK
80 kJ
Waste heat
70 kJ
ηth,1= 20% ηth,2= 30%
SOURCE
FIGURE 6–12
Some heat engines perform better than
others (convert more of the heat they
receive to work).