At a festival, spherical balloons with a radius of 270. 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. 2.00 kg of propane (C3H8) 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: 0 1.009 balloons J g.°C Formation enthalpy of propane at 25 °C: -103.8 X 0.946 1.440 kg 3 m kg 3 Any other data you need should be taken from the ALEKS Data resource. m kJ mol S

At a festival, spherical balloons with a radius of 270. 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. 2.00 kg of propane (C3H8) 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: 0 1.009 balloons J g.°C Formation enthalpy of propane at 25 °C: -103.8 X 0.946 1.440 kg 3 m kg 3 Any other data you need should be taken from the ALEKS Data resource. m kJ mol S

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

At a festival, spherical balloons with a radius of 270. 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. 2.00 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:
0
1.009
balloons
0.946
Formation enthalpy of propane at 25 °C: - 103.8
X
1.440
J
g.°C
kg
3
m
kg
3
Any other data you need should be taken from the ALEKS Data resource.
m
kJ
mol

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Step 1: Law of conservation of energy

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Step 2: Calculation for the volume of one balloon

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Step 3: Calculation for the mass of air

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Step 4: Calculation for the Heat Required per Balloon

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Step 5: Calculation for Heat Released per Mole of Propane:

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Step 6: Calculation for heat released during combustion of 2.00 kg of propane!

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Step 7: Calculation for number of balloons that can be inflated!

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