Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P of the gas is inversely proportional to the volume V of the gas. (a) Suppose that the pressure of a sample of air that occupies 0.106m³ at 25°C is 50 kPa. Write V as a function of P. dV (b) Calculate when P = 50 kPa. dP Ov P dV 50 and 5.3 dP 5.3 Ov=5.3P and dV dP Ov= 5.3 dV -5.3 and P dP 2500 dV -50 dP 2500 OV= Ov= 50 P 0.106 P and and = 5.3-50 dV -0.106 dP 2500

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
icon
Related questions
Question
Solve in 10 min
Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P of the gas is inversely proportional to the volume V of the
gas.
(a) Suppose that the pressure of a sample of air that occupies 0.106m³ at 25°C is 50 kPa. Write V as a function of P.
dV
(b) Calculate
when P = 50 kPa.
dP
Ov=
P
dV 50
and
=-
5.3
dP 5.3
dV
Ov=5.3P and
dP
5.3
dV -5.3
and
=
P
dP
2500
OV-
Ov=
Ov=
50
P
0.106
P
and
and
= 5.3.50
dV
-50
dP 2500
dV -0.106
dP
2500
Transcribed Image Text:Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P of the gas is inversely proportional to the volume V of the gas. (a) Suppose that the pressure of a sample of air that occupies 0.106m³ at 25°C is 50 kPa. Write V as a function of P. dV (b) Calculate when P = 50 kPa. dP Ov= P dV 50 and =- 5.3 dP 5.3 dV Ov=5.3P and dP 5.3 dV -5.3 and = P dP 2500 OV- Ov= Ov= 50 P 0.106 P and and = 5.3.50 dV -50 dP 2500 dV -0.106 dP 2500
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax