The gas equation for one mole of oxygen relates its pressure, P (in atmospheres), its temperature, T (in K), and its volume, V (in cubic decimeters, dm³): T = 16.574. dT = 1 0.52754. 1 V² 0.3879 P + 12.187 V P. (a) Find the temperature T and differential dT if the volume is 34 dm³ and the pressure is 0.75 atmosphere. T= (b) Use your answer to part (a) to estimate how much the pressure would have to change if the volume increased by 2.5 dm³ and the temperature remained constant. change in pressure =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
icon
Related questions
Question
The gas equation for one mole of oxygen relates its pressure, P (in atmospheres), its temperature, T (in K), and
its volume, V (in cubic decimeters, dm³):
dT
T 16.574.
=
1
V
0.52754.
1
V2
(a) Find the temperature T and differential dT if the volume is 34 dm³ and the pressure is 0.75 atmosphere.
T =
0.3879 P + 12.187 V P.
(b) Use
your answer to part (a) to estimate how much the pressure would have to change if the volume
increased by 2.5 dm³ and the temperature remained constant.
change in pressure =
Transcribed Image Text:The gas equation for one mole of oxygen relates its pressure, P (in atmospheres), its temperature, T (in K), and its volume, V (in cubic decimeters, dm³): dT T 16.574. = 1 V 0.52754. 1 V2 (a) Find the temperature T and differential dT if the volume is 34 dm³ and the pressure is 0.75 atmosphere. T = 0.3879 P + 12.187 V P. (b) Use your answer to part (a) to estimate how much the pressure would have to change if the volume increased by 2.5 dm³ and the temperature remained constant. change in pressure =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning