College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 13, Problem 36PE
Calculate the depth to which
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What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5 × 104 Pa (the room is at fairly high elevation) and the temperature is 21 °C ? Is any item of data unnecessary forthe solution?
Let’s imagine that at the beginning of a journey a truck tire has a volume of 30,000 cm3 and an internal pressure of 170 kPa. The temperature of the tire is 16∘C. By the end of the trip, the volume of the tire has increased to 32,000 cm3 and the temperature of the air inside the tire is 40∘C. What is the tire pressure at the end of the journey?
A diver is at 5 meter depth in a fresh water lake. At that depth, the temperature is 15◦C. The pressure in the water at a depth d is given by p(d) = psurface + ρgd, where ρ is the liquid density, and g = 9.81m s−2is the gravitational constant.(a) The diver releases an air bubble of 1cm diameter. What is the diameter of the bubble when it reaches the surface where the temperature is 20◦C?Assume that the bubble temperature is always the same as the surroundingwater.(b) The diver stayed 1h at a 5m depth. The pressure in the diving tank went down from 250 bars to 50 bars. We assume that the volume of the lungs is 5L. Assuming that the water temperature is also 15◦C, how long could the diver have stayed underwater at 20m depth using the same amount of air?(c) The diver is at 5m depth and decides to surface. The air in the lungs is at a constant temperature of 37◦C. What fraction of the air in her/his lungs should the diver inhale/release to maintain a constant lung volume?
Chapter 13 Solutions
College Physics
Ch. 13 - What does it mean to say that two systems are in...Ch. 13 - Give an example of a physical property that varies...Ch. 13 - When a cold alcohol thermometer is placed in a hot...Ch. 13 - If you add boiling water to a cup at room...Ch. 13 - Thermal stresses caused by uneven cooling can...Ch. 13 - Water expands significantly when it freezes: a...Ch. 13 - One method at getting a tight fit, say of a metal...Ch. 13 - Does it really help to run hot water over a tight...Ch. 13 - Liquids and solids expand with increasing...Ch. 13 - Find out the human population of Earth. Is there a...
Ch. 13 - Under what circumstances would you expect a gas to...Ch. 13 - A constant-volume gas thermometer contains a fixed...Ch. 13 - How is momentum related to the pressure exerted by...Ch. 13 - A pressure cooker contains water and steam in...Ch. 13 - Why does condensation from most rapidly on the...Ch. 13 - What is the vapor pressure of solid carbon dioxide...Ch. 13 - Can carbon dioxide be liquefied at room...Ch. 13 - Oxygen cannot be liquefied at room temperature by...Ch. 13 - What is the distinction between gas and vapor?Ch. 13 - Because humidity depends only on water's vapor...Ch. 13 - Why does a beaker of 40.0C water placed in a...Ch. 13 - Why does rubbing alcohol evaporate much more...Ch. 13 - What is me Fahrenheit temperature of a person with...Ch. 13 - Frost damage to most plants occurs at temperatures...Ch. 13 - To conserve energy, room temperatures are kept at...Ch. 13 - A tungsten light bulb filament may operate a1 2900...Ch. 13 - The Surface temperature of the Sun is about 5750...Ch. 13 - One of the honest temperatures ever recorded on...Ch. 13 - (a) Suppose a cold front blows into your locale...Ch. 13 - (a) At what temperature do the Fahrenheit and...Ch. 13 - The height of the Washington Monument is measured...Ch. 13 - How much taller does me Eiffel Tower become at the...Ch. 13 - What is the change in length of a 3.00mlong column...Ch. 13 - How large an expansion gap should be left between...Ch. 13 - You are looking to purchase a small piece of land...Ch. 13 - Global warming will produce rising sea levels...Ch. 13 - Show that 60.0L of gasoline originally at 15.0C...Ch. 13 - (a) Suppose a meter Stick made of steel and one...Ch. 13 - (a) If a 500mL glass beaker is filled to the brim...Ch. 13 - Most automobiles have a coolant reservoir to catch...Ch. 13 - A physicist makes a cup of instant coffee and...Ch. 13 - (a) The density of water at 0C is very nearly...Ch. 13 - Show that 3, by calculating the change in volume V...Ch. 13 - The gauge pressure in your car tires is...Ch. 13 - Convert an absolute pressure of 7.00105N/m2 to...Ch. 13 - Suppose a gasfilled incandescent light bulb is...Ch. 13 - Large helium-filled balloons are used to lift...Ch. 13 - Confirm mat the units of nRT are those of energy...Ch. 13 - In the text, it was shown that N/V=2.681025m3 for...Ch. 13 - Calculate the number of moles in me 2.00L volume...Ch. 13 - An airplane passenger has 100cm3 of air in his...Ch. 13 - (a) What is me 1imlume (in km3) of Avogadro’s...Ch. 13 - An expensive vacuum System can achieve a pressure...Ch. 13 - The number density of gas atoms at a certain...Ch. 13 - A bicycle tire has a pressure of 7.00105N/m2 at a...Ch. 13 - A high—pressure gas cylinder contains 50.13L of...Ch. 13 - Find the number of moles in 2.00L of gas at 35.0C...Ch. 13 - Calculate the depth to which Avogadro's number of...Ch. 13 - (a) What is me gauge pressure in a 25.0C car tire...Ch. 13 - (a) In the deep space between galaxies, me density...Ch. 13 - Some incandescent light bulbs are filled with...Ch. 13 - Average atomic and molecular speeds (vrms) are...Ch. 13 - (a) What is the average kinetic energy in joules...Ch. 13 - The escape velocity of any object from Earth is...Ch. 13 - The escape velocity from the Moon is much smaller...Ch. 13 - Nuclear fusion, the energy source at the Sun,...Ch. 13 - Suppose that the average velocity (vrms) of carbon...Ch. 13 - Hydrogen molecules (molecular mass is equal to...Ch. 13 - Much of The 935 near the Sun is atomic hydrogen....Ch. 13 - There are two important isotopes of uranium 235U...Ch. 13 - Dry air is 78.1% nitrogen. What is the partial...Ch. 13 - (a) What is me vapor pressure of water at 20.0C ?...Ch. 13 - Pressure cookers increase cooking speed by raising...Ch. 13 - (a) At what temperature does water boil at an...Ch. 13 - What is the atmospheric pressure on top of Mt....Ch. 13 - At a spot in the high Andes, water boils at 80.0C,...Ch. 13 - What is the relative humidity on a 25.0C day when...Ch. 13 - What is the density of water vapor in g/m3 on a...Ch. 13 - A deepsea diver should breathe a gas mixture that...Ch. 13 - The vapor pressure of water at 40.0C is...Ch. 13 - Air in human lungs has a temperature of 37.0C and...Ch. 13 - If the relative humidity is 90.0% on a muggy...Ch. 13 - Late on an autumn day, the relative humidity is...Ch. 13 - Atmospheric pressure amp Mt. Everest is...Ch. 13 - What is the dew point (the temperature at which...Ch. 13 - On a certain day the temperature is 25.0C and the...Ch. 13 - Integrated Concepts The boiling point of water...Ch. 13 - Integrated Concepts (a) At what depth in fresh...Ch. 13 - Integrated Concepts To get an idea of the small...Ch. 13 - Integrated Concepts If you want to cook in water...Ch. 13 - Unreasonable Results (a) How many moles per cubic...Ch. 13 - Unreasonable Results (a) An automobile mechanic...Ch. 13 - Unreasonable Results The temperature inside a...Ch. 13 - Unreasonable Results Suppose the relative humidity...
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What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5104 Pa (the room is at fairly high elevation) and die temperature is 21 ? Is any item of data unnecessary for the solution?
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Calculate the depth to which Avogadro's number of table tennis balls would cover Earth. Each ball has a diameter of 3.75 cm. Assume the space between balls adds an extra 25.0% to their volume and assume they are not crushed by their own weight.
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The partial pressure of carbon dioxide in the lungs is about 470 Pa when the total pressure in the lungs is 1.0 atm. What percentage of the air molecules in the lungs is carbon dioxide? Compare your result to the percentage of carbon dioxide in the atmosphere, but 0.033%.
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A helium-filled toy balloon has a gauge pressure of 0.200 atm and a volume of 10.0 L. How much greater is the internal energy of the helium in the balloon than it would be at zero gauge pressure?
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An airtight dispenser for drinking water is 25 cm × 10 cm in horizontal dimensions and 20 cm tall. It has a tap of negligible volume that opens at the level of the bottom of the dispenser. Initially, it contains Water to a level 3.0 cm from the top and air at the ambient pressure, 1.00 atm, from there to the top. When the tap is opened, water will flow out until the gauge pressure at the bottom of dispenser, and thus at the opening of the tap, is 0. What volume of water flows out? Assume the temperature is constant, the dispenser is perfectly rigid, and the water has a constant density of 1000 kg/m3.
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