Question 2 According to the ideal gas law pressure, P (in pascals), volume, V (in cubic meters), and temperature, T (in kelvins) are related by the equation PV = nRT where R is the ideal gas constant and n is the number of moles of the gas present. dP (a) Find assuming that both volume and temperature are changing in time. dt (b) Create a model for temperature assuming that it varies sinusoidally in time, starting with a minimum temperature of 300 K at t=0 hours, and at its maximum of 320 K at t = 12 hours. (c) Create a model for volume assuming that starts at 10 cubic meters at t = 0 hours and increases by 10% every six hours. (d) Find under the assumptions of parts (a), (b) and (c). Your answer will contain n and R. dP dt f=18 fl
Question 2 According to the ideal gas law pressure, P (in pascals), volume, V (in cubic meters), and temperature, T (in kelvins) are related by the equation PV = nRT where R is the ideal gas constant and n is the number of moles of the gas present. dP (a) Find assuming that both volume and temperature are changing in time. dt (b) Create a model for temperature assuming that it varies sinusoidally in time, starting with a minimum temperature of 300 K at t=0 hours, and at its maximum of 320 K at t = 12 hours. (c) Create a model for volume assuming that starts at 10 cubic meters at t = 0 hours and increases by 10% every six hours. (d) Find under the assumptions of parts (a), (b) and (c). Your answer will contain n and R. dP dt f=18 fl
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:Question 2 According to the ideal gas law pressure, P (in pascals), volume, V (in cubic meters), and temperature,
T (in kelvins) are related by the equation
PV = nRT
where R is the ideal gas constant and n is the number of moles of the gas present.
dP
(a) Find
assuming that both volume and temperature are changing in time.
dt
(b) Create a model for temperature assuming that it varies sinusoidally in time, starting with a
minimum temperature of 300 K at t = 0 hours, and at its maximum of 320 K at t = 12 hours.
(c) Create a model for volume assuming that starts at 10 cubic meters at t = 0 hours and increases
by 10% every six hours.
(d) Find
under the assumptions of parts (a), (b) and (c). Your answer will contain n and
R.
dP
dt
t=18
fl
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