The Table shown gives experimental values of the pressure P of a given mass of gas corresponding to various values of the volume V. According to thermodynamic principles, a relationship having the form PVk = C, where k and C are constants, should exist between the variables. Use the natural log (In) and linear regression to solve the following. 1) Find the value of k. a) 0.64 b) 0.82 c) 0.78 d) 0.90 2) Find the value of C. a) 1125 b) 765 c) 995 d) 875 3) Estimate P when V = 100.0 in3. a) 17.1 b) 31.5 c) 26.9 d) 39.9 TABLE V(in³) 61.8 59.5 72.4 88.7 118.6 244.9 P(lb/in2) 66.3 49.5 36.6 28.4 19.2 20.1

The Table shown gives experimental values of the pressure P of a given mass of gas corresponding to various values of the volume V. According to thermodynamic principles, a relationship having the form PVk = C, where k and C are constants, should exist between the variables. Use the natural log (In) and linear regression to solve the following. 1) Find the value of k. a) 0.64 b) 0.82 c) 0.78 d) 0.90 2) Find the value of C. a) 1125 b) 765 c) 995 d) 875 3) Estimate P when V = 100.0 in3. a) 17.1 b) 31.5 c) 26.9 d) 39.9 TABLE V(in³) 61.8 59.5 72.4 88.7 118.6 244.9 P(lb/in2) 66.3 49.5 36.6 28.4 19.2 20.1

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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Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.

Question

The Table shown gives experimental values of the pressure P of a given mass of gas corresponding to various values of the volume V. According to thermodynamic principles, a relationship
having the form PVK = C, where k and C are constants, should exist between the variables. Use the natural log (In) and linear regression to solve the following.
1) Find the value of k.
a) 0.64 b) 0.82 c) 0.78
d) 0.90
2) Find the value of C.
a) 1125 b) 765 c) 995 d) 875
3) Estimate P when V = 100.0 in3.
a) 17.1 b) 31.5 c) 26.9 d) 39.9
TABLE
V(in³)
59.5
61.8
72.4
88.7
118.6 244.9
P(lblin?)
66.3
49.5
28.4
36.6
19.2
20.1

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