It is known that the pressure of one mole of ideal gas changes according to the expression; ; = -22.414V-2, where Pis in atmospheres and V is in liters; and dv that it occupies a volume of V = 22.4 L when P = 1atm. Estimate the pressure needed to make the volume 24.4 L. Use AV = 0.5 L and Euler's Method, rounding to 5 decimal places. After having your table in Excel or any other application, answer: a). Is this solution physically logical? Explain. b). Is your solution an over estimate or an under estimate? Argues. c) He mentions two limitations of the Euler method in solving problems such as the one raised in the problem. 1) 2)
It is known that the pressure of one mole of ideal gas changes according to the expression; ; = -22.414V-2, where Pis in atmospheres and V is in liters; and dv that it occupies a volume of V = 22.4 L when P = 1atm. Estimate the pressure needed to make the volume 24.4 L. Use AV = 0.5 L and Euler's Method, rounding to 5 decimal places. After having your table in Excel or any other application, answer: a). Is this solution physically logical? Explain. b). Is your solution an over estimate or an under estimate? Argues. c) He mentions two limitations of the Euler method in solving problems such as the one raised in the problem. 1) 2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:It is known that the pressure of one mole of ideal gas changes according to the expression: \( \frac{dp}{dV} = -22.414V^{-2} \), where P is in atmospheres and V is in liters; and that it occupies a volume of V = 22.4 L when P = 1 atm. Estimate the pressure needed to make the volume 24.4 L. Use \(\Delta V = 0.5\) L and Euler's Method, rounding to 5 decimal places.
After having your table in Excel or any other application, answer:
a). Is this solution physically logical? Explain.
b). Is your solution an overestimate or an underestimate? Argues.
c). He mentions two limitations of the Euler method in solving problems such as the one raised in the problem.
1)
2)
Name a situation in which Euler's Method could not be applied.
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We know the Eulers formula for first-order numerical differentiation is
h = 0.5
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