A company that manufactures gas cylinder is interested in assessing the relationships between pressure (dependent variable) and volume of a gas (independent variable). The table below gives experimental values of pressure (P) of given mass of gas corresponding to various of the volume (V). According to thermodynamic principles, the relationship be of the form PVY = C where y and C are constants. Volume (C) Pressure (P) 53.3 61.8 72.4 88.7 119 194 61.2 49.5 37.6 28.4 19.2 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A company that manufactures gas cylinder is interested in assessing the relationships between
pressure (dependent variable) and volume of a gas (independent variable). The table below
gives experimental values of pressure (P) of given mass of gas corresponding to various of the
volume (V). According to thermodynamic principles, the relationship be of the form
PVY = C
where y and C are constants.
Volume (C)
Pressure (P)
53.3
61.8
72.4
88.7
119
194
61.2
49.5
37.6
28.4
19.2
10
Find the values y and C that best fit the data (round off all your calculations to 3 d.p).
Transcribed Image Text:A company that manufactures gas cylinder is interested in assessing the relationships between pressure (dependent variable) and volume of a gas (independent variable). The table below gives experimental values of pressure (P) of given mass of gas corresponding to various of the volume (V). According to thermodynamic principles, the relationship be of the form PVY = C where y and C are constants. Volume (C) Pressure (P) 53.3 61.8 72.4 88.7 119 194 61.2 49.5 37.6 28.4 19.2 10 Find the values y and C that best fit the data (round off all your calculations to 3 d.p).
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