Boyle's Law states that when a sample of gas is compressed at a constant temperature, the k pressure P of the gas is inversely proportional to the volume of the gas. That is, P =. Suppose that the pressure of a sample of air that occupies 0.094 m3 at 25°C is 40 kPA. (a) Find the value of the constant k, and write V as a function of P. (b) Calculate dy when P dP 40 kPA. What is the meaning of the derivative? What are the units?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Boyle's Law states that when a sample of gas is compressed at a constant temperature, the
k
pressure P of the gas is inversely proportional to the volume of the gas. That is,
.Suppose
V
that the pressure of a sample of air that occupies 0.094 m³ at 25°C is 40 kPA.
(a) Find the value of the constant k, and write V as a function of P.
dV
(b) Calculate
when P:
dP
40 kPA. What is the meaning of the derivative? What are the units?
Transcribed Image Text:Boyle's Law states that when a sample of gas is compressed at a constant temperature, the k pressure P of the gas is inversely proportional to the volume of the gas. That is, .Suppose V that the pressure of a sample of air that occupies 0.094 m³ at 25°C is 40 kPA. (a) Find the value of the constant k, and write V as a function of P. dV (b) Calculate when P: dP 40 kPA. What is the meaning of the derivative? What are the units?
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