(a) Find the average rate of change of P as V increases from 200 in3 to 250 in3. (b) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
(a) Find the average rate of change of P as V increases from 200 in3 to 250 in3. (b) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter8: Properties Of Gases
Section: Chapter Questions
Problem 68QRT
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Question
According to Boyle’s Law, if the temperature of a confined
gas is held fixed, then the product of the pressure P and the
volume V is a constant. Suppose that, for a certain gas,
PV − 800, where P is measured in pounds per square inch
and V is measured in cubic inches.
(a) Find the average rate of change of P as V increases
from 200 in3 to 250 in3.
(b) Express V as a function of P and show that the instantaneous
rate of change of V with respect to P is
inversely proportional to the square of P.
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