Question 3 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. (а) Find dP 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 the initial time of t = 0 hours and is 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. dP (d) Find under the assumptions of parts (a), (b) and (c). Your answer will contain n and dt It=18

Question 3 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. (а) Find dP 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 the initial time of t = 0 hours and is 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. dP (d) Find under the assumptions of parts (a), (b) and (c). Your answer will contain n and dt It=18

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 68E

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