At a festival, spherical balloons with a radius of 280. cm are to be inflated with hot air and released. The air at the festival will have a temperature of 25 °C and must be heated to 100 °C to make the balloons float. 3.00 kg of propane (C₂H₂) fuel are available to be burned to heat the air. Calculate the maximum number of balloons that can be inflated with hot air. Here are some data you may find useful: Specific heat capacity of air: Density of air at 100 °C: Density of propane at 100 °C: 1.009 0.946 1.440 J g.°C kg m kg m I-T
At a festival, spherical balloons with a radius of 280. cm are to be inflated with hot air and released. The air at the festival will have a temperature of 25 °C and must be heated to 100 °C to make the balloons float. 3.00 kg of propane (C₂H₂) fuel are available to be burned to heat the air. Calculate the maximum number of balloons that can be inflated with hot air. Here are some data you may find useful: Specific heat capacity of air: Density of air at 100 °C: Density of propane at 100 °C: 1.009 0.946 1.440 J g.°C kg m kg m I-T
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter12: Thermodynamic Processes And Thermochemistry
Section: Chapter Questions
Problem 3P
Related questions
Question
Please don't provide handwritten solution ....
![At a festival, spherical balloons with a radius of 280. cm are to be inflated with hot air and released. The air at the festival will have a temperature of 25 °C and
must be heated to 100 °C to make the balloons float. 3.00 kg of propane (C₂H₂) fuel are available to be burned to heat the air. Calculate the maximum
number of balloons that can be inflated with hot air.
Here are some data you may find useful:
Specific heat capacity of air:
Density of air at 100 °C:
Density of propane at 100 °C:
1.009
balloons
0.946
X
1.440
Formation enthalpy of propane at 25 °C: -103.8
J
g.°C
S
kg
m
kg
Any other data you need should be taken from the ALEKS Data resource.
m
kJ
mol](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F669e847b-4254-4f1d-a25f-ed5618f90f41%2F347d0c7e-98f6-4214-973b-95526c9beb98%2F4iovm4_processed.png&w=3840&q=75)
Transcribed Image Text:At a festival, spherical balloons with a radius of 280. cm are to be inflated with hot air and released. The air at the festival will have a temperature of 25 °C and
must be heated to 100 °C to make the balloons float. 3.00 kg of propane (C₂H₂) fuel are available to be burned to heat the air. Calculate the maximum
number of balloons that can be inflated with hot air.
Here are some data you may find useful:
Specific heat capacity of air:
Density of air at 100 °C:
Density of propane at 100 °C:
1.009
balloons
0.946
X
1.440
Formation enthalpy of propane at 25 °C: -103.8
J
g.°C
S
kg
m
kg
Any other data you need should be taken from the ALEKS Data resource.
m
kJ
mol
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Law of conservation of energy
VIEWStep 2: Calculation for the volume of one balloon
VIEWStep 3: Calculation for the mass of air
VIEWStep 4: Calculation for the Heat Required per Balloon
VIEWStep 5: Calculation for Heat Released per Mole of Propane:
VIEWStep 6: Calculation for heat released during combustion of 3.00 kg of propane!
VIEWStep 7: Calculation for number of balloons that can be inflated!
VIEWSolution
VIEWStep by step
Solved in 8 steps with 13 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Principles of Modern Chemistry](https://www.bartleby.com/isbn_cover_images/9781305079113/9781305079113_smallCoverImage.gif)
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning
![Chemistry: The Molecular Science](https://www.bartleby.com/isbn_cover_images/9781285199047/9781285199047_smallCoverImage.gif)
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
![Chemistry for Engineering Students](https://www.bartleby.com/isbn_cover_images/9781337398909/9781337398909_smallCoverImage.gif)
Chemistry for Engineering Students
Chemistry
ISBN:
9781337398909
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
![Principles of Modern Chemistry](https://www.bartleby.com/isbn_cover_images/9781305079113/9781305079113_smallCoverImage.gif)
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning
![Chemistry: The Molecular Science](https://www.bartleby.com/isbn_cover_images/9781285199047/9781285199047_smallCoverImage.gif)
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
![Chemistry for Engineering Students](https://www.bartleby.com/isbn_cover_images/9781337398909/9781337398909_smallCoverImage.gif)
Chemistry for Engineering Students
Chemistry
ISBN:
9781337398909
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
![Chemistry: Principles and Reactions](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
![Introductory Chemistry: A Foundation](https://www.bartleby.com/isbn_cover_images/9781337399425/9781337399425_smallCoverImage.gif)
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry by OpenStax (2015-05-04)](https://www.bartleby.com/isbn_cover_images/9781938168390/9781938168390_smallCoverImage.gif)
Chemistry by OpenStax (2015-05-04)
Chemistry
ISBN:
9781938168390
Author:
Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:
OpenStax