What value do you provide to your computer for the initial rate of change of temperature in kelvin/minute?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Creating the Fuel
You now have the bacteria needed to create the fuel. "Computer, what is the next step in this process?" Your
computer responds that the bacteria have given off enough gas (collected in a 17 L closed container) to create
the fuel, and that the fuel is developed by increasing the temperature of the gas at a rate such that the pressure
will initially rise at a rate of 66.516 kPa/min (kilopascals per minute). You control the initial rate of change of
temperature, and must set this value so that the initial rate of change of pressure is 66.516 kPa/min. Once you
have made this initial adjustment, the system will adjust dynamically until the fuel is created.
Your computer informs you that this gas follows the Ideal Gas Law (PV nRT), and that the units for these
calculations are already accounted for. This means that no conversions are necessary in your
calculations. Some initial values (at time t = 0) are provided below:
Pressure (P) = 96 kPa
Volume (V) = 17 L
=
nR (a constant) = 8.3145 kPaL/K
Temperature (T) = 307 K
What value do you provide to your computer for the initial rate of change of temperature in kelvin/minute?
Rate of Change of Temperature
Number
K/min
Transcribed Image Text:Creating the Fuel You now have the bacteria needed to create the fuel. "Computer, what is the next step in this process?" Your computer responds that the bacteria have given off enough gas (collected in a 17 L closed container) to create the fuel, and that the fuel is developed by increasing the temperature of the gas at a rate such that the pressure will initially rise at a rate of 66.516 kPa/min (kilopascals per minute). You control the initial rate of change of temperature, and must set this value so that the initial rate of change of pressure is 66.516 kPa/min. Once you have made this initial adjustment, the system will adjust dynamically until the fuel is created. Your computer informs you that this gas follows the Ideal Gas Law (PV nRT), and that the units for these calculations are already accounted for. This means that no conversions are necessary in your calculations. Some initial values (at time t = 0) are provided below: Pressure (P) = 96 kPa Volume (V) = 17 L = nR (a constant) = 8.3145 kPaL/K Temperature (T) = 307 K What value do you provide to your computer for the initial rate of change of temperature in kelvin/minute? Rate of Change of Temperature Number K/min
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