College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 13, Problem 31PE
An expensive vacuum System can achieve a pressure as low as
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Vacuum system can achieve a pressure as low as 1x10-7 Pa at
273 K. How many atoms are there in a cubic centimeter at this
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An expensive vacuum system can achieve a pressure as low as 1.48 x 10-7 N/m2 at 22 degrees Celsius. How many atoms are there in cubic centimeter at this pressure and temperature?
The number density of gas atoms at a certain location in the space above our planet is about 1.1 × 1011 m-3, and the pressure is 2.55 × 10-10 Pa in this region.
What is the temperature in this region, in degrees Celsius?
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...Ch. 13 - Prob. 1TPCh. 13 - Prob. 2TPCh. 13 - Prob. 3TPCh. 13 - Prob. 4TPCh. 13 - Prob. 5TPCh. 13 - Prob. 6TPCh. 13 - Prob. 7TPCh. 13 - Prob. 8TP
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- At what temperature is the average speed of carbon dioxide molecules ( M=44.0 g/mol) 510 m/s?arrow_forwardHow many moles are there in (a) 0.0500 g of N2 gas (M = 28.0 g/mol)? (b) 10.0 g of CO2 gas (M = 44.0 g/mol)? (c) How many molecules are present in each case?arrow_forwardCylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.arrow_forward
- A cylinder with a piston holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. The piston is pulled outward, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature stays constant, what new volume does the gas occupy? (a) 1.0 m3 (b) 1.5 m3 (c) 2.0 m3 (d) 0.12 m3 (e) 2.5 m3arrow_forwardProblem 8: A bicycle tire has a pressure of 6.85 × 105 Pa at a temperature of 19°C and contains 2.00 L of gas. What will its pressure be, in pascals, if you let out an amount of air that has a volume of 105 cm3 at atmospheric pressure and at the temperature of the tire? Assume tire temperature and volume remain constant.arrow_forwardAn expensive vacuum system can achieve a pressure as low as 1.00×10-7 N/m2 at 20ºC . How many atoms are there in a cubic centimeter at this pressure and temperature?arrow_forward
- At the end of a warm autumn day, you measure the air pressure in your car's tires and write down their pressure as 2.41 × 105 Pa (about 35 psi) when the outside temperature is 23°C. It cools down quite a bit overnight to -5°C. If you were to measure the air pressure in the tire on that cool morning, what pressure would you measure? Assume that you can ignore the change in the volume of the tire and that no air is released from the tire overnight.arrow_forwardA (1.0x10^1) liter bottle is filled with nitrogen (N2) at STP (Standard Temperature and Pressure is 1 atm and 273 K) and closed tight. If the temperature is raised to 100° C, what will be the new pressure in SI units to two significant figures.arrow_forwardThe number density of gas atoms at a certain location in the space above our planet is about 2.90 ✕ 1011 m−3, and the pressure is 2.40 ✕ 10−10 N/m2 in this space. What is the temperature (in °C) there? A high-pressure gas cylinder contains 60.0 L of toxic gas at a pressure of 1.43 ✕ 107 N/m2 and a temperature of 22.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (−78.5°C) to reduce the leak rate and pressure so that it can be safely repaired. What is the final pressure in the tank in pascals, assuming a negligible amount of gas leaks while being cooled and that there is no phase change?arrow_forward
- 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?arrow_forwardSome incandescent light bulbs are filled with argon, because it is an inert gas.An argon atom has a mass of 6.63 ×10−26×10-26 kg. What is the rms speed, in meters per second, for argon atoms near the filament, assuming their temperature is 2250 K?arrow_forwardA certain ideal gas of volume V1 = 6.0 x10-3 m3 is at pressure P1 = 90 kPa and at temperature T1=20°C. When its volume increases to V2 = 12x10-3 m3 and the temperature goes up to T2 = 70°C, how much is the pressure in kPa?arrow_forward
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