(25) Consider the mechanical system below. Obtain the steady-state outputs x_1 (t) and x_2 (t) when the input p(t) is the sinuso
1 answer:
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Answer:
(a) 65.04%
(b) 16.91%
Solution:
As per the question:
At inlet:
Pressure of the compressor, P = 140 kPa
Temperature, T = = 263 K
Isentropic work, W = 700 kPa
At outlet:
Pressure, P' = 700 kPa
Temperature, T' = = 333 K
Now, from the steam table;
At the inlet , at a P = 700 kPa, T =:
h = 243.40 kJ/kg, s = 0.9606 kJ/kg.K
At outlet, at P = 140 kPa, T =:
h' = 296.69 kJ/kg, s' = 1.0182 kJ/kg.K
Also in isentropic process, s = and
at 700kPa
(a) Isentropic efficiency of the compressor,
(b) The temperature of the environment, = 273 + 27 = 300 K
Availability at state 1,
Similarly for state 2,
Now, the efficiency of the compressor as per the second law;
= 67.57%