Answered: Measured data for pressure versus…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Measured data for pressure versus volume during the compresion of a refrigerant within the cylinder of refrigeration compressor are given in the table below. Using data from the table, complete the following:

(a) Determine a value of n such that the data are fit by an equation of the form, p V^n=constant.

(b) Evaluate analytically the work done on the refrigerant, in BTU using Eq. 2.17 along with the result of part (a)

(d) Compare the different methods for estimating the work used in parts (b) and (c). Why are they estimates?

Expert Solution

Step 1

$\begin{array}{l} Given equation as per the question \\ p V^{n} = k \\ taking log on both side,we get \\ \log (p V^{n}) = \log k \\ \log p + n \log V = \log k \\ {substituting P for p,V}_{1} for logV and K for logk,we get \\ P + n V_{1} = K \\ \sum P + n \sum V_{1} = x K \\ \sum P V_{1} + n \sum V_{1}^{2} = K \sum V_{1} \\ Now evaluating the variables and tabulate them \end{array}$

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