Chapter 3.7, Problem 23E
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Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
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Chapter
Section
BuyFindarrow_forward
Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem
Boyle’s Law states that when a sample of gas is compressed al a constant temperature, the product of the pressure and the volume remains constant: PV = C.
(a) Find the rate of change of volume with respect to pressure.
(b) A sample of gas is in a container at low pressure and is steadily compressed at constant temperature for 10 minutes. Is the volume decreasing more rapidly at the beginning or the end of the 10 minutes? Explain.
(c) Prove that the isothermal compressibility (see Example 5) is given by β = 1/P.
EXAMPLE 5
(a)
To determine
To find: The rate of change of volume with respect to the pressure.
Explanation
Given:
The relation of Boyle’s law is given as below.
Here,
Calculation:
Rewrite equation (1) as follows.
Differentiate equation (1) with respect to
b)
To determine
To find: Check the occurrence of the rapid volume decrease of gas at the end or at the beginning of the compression with explanation.
- a) Prove the isothermal compressibility equation as
c)
To determine
To prove: The isothermal compressibility equation as
Chapter 3 Solutions
Sect-3.1 P-1ESect-3.1 P-2ESect-3.1 P-3ESect-3.1 P-4ESect-3.1 P-5ESect-3.1 P-6ESect-3.1 P-7ESect-3.1 P-8ESect-3.1 P-9ESect-3.1 P-10E
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In Exercises 1 to 8, find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. The set of even...
Mathematical Excursions (MindTap Course List)
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or gi...
Single Variable Calculus: Early Transcendentals
Perform the following operation. Reduce if possible. 6+2
Trigonometry (MindTap Course List)
In Exercises 23 to 26, use line segments of length a and c as shown. Construct the right triangle with hypotenu...
Elementary Geometry For College Students, 7e
The Victoria Growth fund has an offer price of $13.10 and a net asset value of $12.35. a. What is the sales cha...
Contemporary Mathematics for Business & Consumers
You can buy twenty 20-amp electrical switches and eight 15-amp four-way electrical switches for $162 or sixty 2...
Elementary Technical Mathematics
Reword Definition 3.17 for an additive group G. Definition 3.17: Let G be a group. For any aG, the subgroup H={...
Elements Of Modern Algebra
Continuity of a Composite Function In Exercises 67-70, discuss the continuity of the composite function h(x)=f(...
Calculus: Early Transcendental Functions (MindTap Course List)
Solving a Trigonometric Equation In Exercises 35-42, solve the equation for , where 02. 2sin2=1
Calculus of a Single Variable
In Exercises 1-3, refer to the accompanying Venn diagram. An experiment in which the three mutually exclusive e...
Finite Mathematics for the Managerial, Life, and Social Sciences
Two angles are supplementary. One angle is 24 more than twice the other. Using two variable x and y, find the m...
Elementary Geometry for College Students
For f(x)=x2+x, we may write f (x) = (h g)(x), where: a) h(x)=x and g(x) = x2 + x b) h(x) = x2 + x and g(x)=x c...
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Solving a Trigonometric Equation In Exercises 35-42, solve the equation for , where 02. cos2cos=1
Calculus (MindTap Course List)
Evaluating a Line Integral Using Greens TheoremIn Exercises 1114, use Greens Theorem to evaluate the line integ...
Multivariable Calculus
The range of is: (−∞,∞) [0, ∞) (0, ∞) [1, ∞]
Study Guide for Stewart's Multivariable Calculus, 8th
A machine fills containers with a particular product. The standard deviation of fillingweights is known from pa...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
In your own words, explain the difference between an interval estimate of the mean value of y for a given x and...
Statistics for Business & Economics, Revised (MindTap Course List)
How does a full-text database differ from other databases?
Research Methods for the Behavioral Sciences (MindTap Course List)
Write an equation of each circle in standard from and general form. Ends of diameter at (6,3) and (5,8).
College Algebra (MindTap Course List)
A sample of n=10,000(x,y) pairs resulted in r = 0.022. Test H0: r = 0 versus Ha: 0 at significance level 0.05...
Introduction To Statistics And Data Analysis
Describe the pattern that would appear in a scatter plot showing the data points for each of the following corr...
Research Methods for the Behavioral Sciences (MindTap Course List)
Trace each line in Exercises a through c and construct perpendiculars to each line at the given points on the l...
Mathematics For Machine Technology
