Given data
:
Surface
temperature T1 =300K
Under water
temperature T2 = 285K
Power out
put W = 10KW
Heat
rejection at a rate of Q2 = 14400KJ/min
Q2 = 14400
X 60KJ/sec
Q2 = 240
KJ/sec
Q2 =
240KW
(a)The
thermal efficiency of the power cycle is:
We know
that as per thermodynamics second law
Thermal efficiency η = (T1 - T2)/T1
η = (300-285)/300
η = 0.05
η = 5%
We also know the another way to determine the themal efficiency is
Thermal
efficiency η = W/Q1 ………….(1)
But here Q1
= heat input
We know W =
Q1 - Q2
Q1 = W + Q2
Q1 = 10 + 240
Q1 = 250KW
Put this
value in abouve equation (1)
Thermal
efficiency η = W/Q
η = 10/250
η = 0.04%
η = 4%
These are
the thermal efficiencies of the power cycle
(b)The
maximum thermal efficiency of the power cycle:
The maximum
thermal efficiency of the power cycle is the efficiency which is
obtained by the temperatures i.e 5%
Maximum
thermal efficiency is η = 5%
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