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4. Measured data for pressure versus volume during the expansion of gases within the cylinder of an internal combustion engine 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, pV" = const [1.2] b) Evaluate analytically (using an integral) the work done by the gases based on your result from part (a) [0.64 kJ] c) Using graphical or numerical integration on the data (i.e. midpoint/trapezoidal rule), evaluate the work done by the gases [0.65 kJ] d) Compare the different methods for estimating the work used in parts (b) and (c). Why are they estimates? p[bar] V [cm³] 15 300 12 361 9 459 6 644 4 903 2 1608

4. Measured data for pressure versus volume during the expansion of gases within the cylinder of an internal combustion engine 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, pV" = const [1.2] b) Evaluate analytically (using an integral) the work done by the gases based on your result from part (a) [0.64 kJ] c) Using graphical or numerical integration on the data (i.e. midpoint/trapezoidal rule), evaluate the work done by the gases [0.65 kJ] d) Compare the different methods for estimating the work used in parts (b) and (c). Why are they estimates? p[bar] V [cm³] 15 300 12 361 9 459 6 644 4 903 2 1608

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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4. Measured data for pressure versus volume during the expansion of gases within the cylinder of an internal combustion engine 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 pV = const [1.2] b) Evaluate analytically (using an integral) the work done by the gases based on your result from part (a) [0.64 kJ] c) Using graphical or numerical integration on the data (i.e. midpoint trapezoidal rule), evaluate the work done by the gases [0.65 kJ] d) Compare the different methods for estimating the work used in parts (b) and (c). Why are they estimates? p [bar] V [cm³] 15 300 12 361 9 459 NO 6 644 4 903 2 1608
Transcribed Image Text:4. Measured data for pressure versus volume during the expansion of gases within the cylinder of an internal combustion engine 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 pV = const [1.2] b) Evaluate analytically (using an integral) the work done by the gases based on your result from part (a) [0.64 kJ] c) Using graphical or numerical integration on the data (i.e. midpoint trapezoidal rule), evaluate the work done by the gases [0.65 kJ] d) Compare the different methods for estimating the work used in parts (b) and (c). Why are they estimates? p [bar] V [cm³] 15 300 12 361 9 459 NO 6 644 4 903 2 1608
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