Answer:
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Explanation:
Answer:
a)
, b) 
Explanation:
a) The counterflow heat exchanger is presented in the attachment. Given that cold water is an uncompressible fluid, specific heat does not vary significantly with changes on temperature. Let assume that cold water has the following specific heat:

The effectiveness of the counterflow heat exchanger as a function of the capacity ratio and NTU is:

The capacity ratio is:



Heat exchangers with NTU greater than 3 have enormous heat transfer surfaces and are not justified economically. Let consider that
. The efectiveness of the heat exchanger is:


The real heat transfer rate is:




The exit temperature of the hot fluid is:




The log mean temperature difference is determined herein:



The heat transfer surface area is:



Length of a single pass counter flow heat exchanger is:



b) Given that tube wall is very thin, inner and outer heat transfer areas are similar and, consequently, the cold side heat transfer coefficient is approximately equal to the hot side heat transfer coefficient.

Answer:
(a) ------(3). (b)------(1) (c)-----(5) (d)------(2) ------ (e) -----4
Note: Kindly find an attached copy of the diagram associated with the solution to the question below.
Sources: the diagram to this question was researched from Quizlet
Explanation:
Solution
(1) Part (a)a waveform has a high frequency components compared to another waveform. the corresponding frequency components should be high.
So for the wave form a the corresponding frequency spectrum is (3)
(2) For part (b), waveform has three harmonics, the corresponding frequency spectrum is (1)
(3) The time domain waveform plot (c) is a sine wave but there exists a dc component.
Thus x[0] ≠0
For (c) the corresponding frequency spectrum is (5)
(4) For part (d) the corresponding frequency spectrum is (2)
(5) A sine wave is made of a single frequency only and its spectrum is a single point
For (e) the corresponding frequency spectrum is (4)