A prototype sports ball for a new game is precisely inflated to a pressure of 7.3 psi at 25°C. The ball is spherical with an inner bladder diameter of 22.8 cm. It is filled with air (Mw = 28.97 g/mol). Note Avogadro's number is 6.022 x 1023 atom/mol. ba (a) calculate the number of moles of air in the ball at the specified temperature and pressure. Consider the air in the ball to follow the ideal gas law. PV = nRT 1 hanol and water of the ball Tis the absolute

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
icon
Related questions
Question
(b) How many oxygen atoms compose the air in the ball? Assume that the mole fraction of N₂ in the air
is 0.79 and the remainder of the air is O₂.
Transcribed Image Text:(b) How many oxygen atoms compose the air in the ball? Assume that the mole fraction of N₂ in the air is 0.79 and the remainder of the air is O₂.
A prototype sports ball for a new game is precisely inflated to a pressure of 7.3 psi at 25°C.
The ball is spherical with an inner bladder diameter of 22.8 cm. It is filled with air (Mw = 28.97 g/mol).
Note Avogadro's number is 6.022 x 1023 atom/mol.
(a) calculate the number of moles of air in the ball at the specified temperature and pressure. Consider
the air in the ball to follow the ideal gas law.
PV = nRT
where P is the absolute pressure of the air in atm, V is the volume of the ball, T is the absolute
temperature in K, and R is the ideal gas constant.
R=8.314 J mol¹ K-¹
= 0.082 05 L atm mol-¹ K-¹
= 8.205 73 m³ atm mol-¹ K-¹
= 1.987 cal mol-¹ K-¹
= 62.363 mmHg L mol-¹ K-¹
= 1545.348 ft lb, lbmol¹ K¹
= 1.985 Btu lbmol-¹ R-¹
= 10.731 ft³ psi lbmol-¹ R¹
Transcribed Image Text:A prototype sports ball for a new game is precisely inflated to a pressure of 7.3 psi at 25°C. The ball is spherical with an inner bladder diameter of 22.8 cm. It is filled with air (Mw = 28.97 g/mol). Note Avogadro's number is 6.022 x 1023 atom/mol. (a) calculate the number of moles of air in the ball at the specified temperature and pressure. Consider the air in the ball to follow the ideal gas law. PV = nRT where P is the absolute pressure of the air in atm, V is the volume of the ball, T is the absolute temperature in K, and R is the ideal gas constant. R=8.314 J mol¹ K-¹ = 0.082 05 L atm mol-¹ K-¹ = 8.205 73 m³ atm mol-¹ K-¹ = 1.987 cal mol-¹ K-¹ = 62.363 mmHg L mol-¹ K-¹ = 1545.348 ft lb, lbmol¹ K¹ = 1.985 Btu lbmol-¹ R-¹ = 10.731 ft³ psi lbmol-¹ R¹
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The