The pressure (P) inside a cylinder is inversely proportional to the volume (V) of gas it contains. When the volume of gas is 50 ml, the pressure is 400 kPa.   a) Determine a function that represents the pressure (P) as a function of the volume (V).   b) Determine the pressure when the volume is 75 ml.   c) Explain, using the equation found in a), how the pressure inside the cylinder will be when the volume of the gas becomes very large.

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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The pressure (P) inside a cylinder is inversely proportional to the volume (V) of gas it contains. When the volume of gas is 50 ml, the pressure is 400 kPa.
 
a) Determine a function that represents the pressure (P) as a function of the volume (V).
 
b) Determine the pressure when the volume is 75 ml.
 
c) Explain, using the equation found in a), how the pressure inside the cylinder will be when the volume of the gas becomes very large.
 
 
 
 
 
 
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