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 49.887 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 49.887 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) = 100 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?

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 49.887 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 49.887 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) = 100 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?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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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
49.887 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 49.887 kPa/min. Once
you have made this initial adjustment, the system will adjust dynamically until the fuel is
created.
nRT ), and that
Your computer informs you that this gas follows the Ideal Gas Law (PV
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) = 100 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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