EBK PHYSICS
5th Edition
ISBN: 8220103026918
Author: Walker
Publisher: PEARSON
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Textbook Question
Chapter 17, Problem 15PCE
The air inside a hot-air balloon has an average temperature of 79.2 °C. The outside air has a temperature of 20.3 °C. What is the ratio of the density of air in the balloon to the density of air in the surrounding atmosphere?
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A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3
a. What is the density of air inside the balloon, in terms of the pressure P, temperature T, molar mass M, and the gas constant R?
b. How much mass can this balloon lift (in addition to the mass of the gas inside) in terms the balloon volume Vb, the atmosphere air density ρa, the density of the air in the balloon ρg, and the gravitational acceleration g?
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The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25°C, the pressure
gage reads 210 kPa. If the volume of the tire is 0.025 m³, determine the pressure rise in the tire when the air temperature in the tire
rises to 44°C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature.
kJ kPa.m³
kJ
Assume the atmospheric pressure to be 100 kPa. The gas constant of air is R = 0. 287-
= 0.287
kg-K
The pressure rise in the tire is
210.2 kPa.
The amount of air that must be bled off to restore pressure to its original value is 0.000825 kg.
kPa.m³
kg.K
Volume of the balloon is 11.79 L at 40.0 degrees Celsius and a pressure of 153 torr. What volume will the
balloon have at standard temperature and pressure (STP)?
Gas Laws Formulas
V1P1
V2P2
Boyle's Law
V,P1 = V2P2
Combined Gas Law
%3D
T1
T2
V1 V2
T T
Charles' Law
Dalton's Law
Ptotal = P1 + P2+ P3.
MM2
MM1
P1
P2
rate,
Gay-Lussac's Law
Graham's Law
T T
rate2
V1 V2
PV = nRT
L·atm
%3D
Avogadro's Law
Ideal Gas Law
R = 0.0821-
n1
n2
mol K
O 2.07 L
3.60 L
4.55 L
5.06 L
||
Chapter 17 Solutions
EBK PHYSICS
Ch. 17.1 - Rank the following ideal-gas systems in order of...Ch. 17.2 - If the Kelvin temperature of a gas is doubled, by...Ch. 17.3 - A metal rod of a given initial length and...Ch. 17.4 - A portion of a substances phase diagram is shown...Ch. 17.5 - Which requires more heat: melting 100 kg of copper...Ch. 17.6 - An ice cube is placed in a cup of water. A few...Ch. 17 - How is the air pressure in a tightly sealed house...Ch. 17 - The average speed of air molecules in your room is...Ch. 17 - Is it possible to change both the pressure and the...Ch. 17 - Prob. 4CQ
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