College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 10, Problem 10WUE
(a)
To determine
The average kinetic energy per molecule of the gas.
(b)
To determine
The rms speed of the gas.
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A)An ideal gas is confined to a container at a temperature of 330 K.What is the average kinetic energy of an atom of the gas? (Express your answer to two significant figures.)
B)2.00 mol of the helium is confined to a 2.00-L container at a pressure of 11.0 atm. The atomic mass of helium is 4.00 u, and the conversion between u and kg is 1 u = 1.661 ××10−27 kg.Calculate vrmsvrms. (Express your answer to three significant figures.)
C)A gold (coefficient of linear expansion α=14×10−6K−1α=14×10−6K−1 ) pin is exactly 4.00 cm long when its temperature is 180∘∘C. Find the decrease in long of the pin when it cools to 28.0∘∘C? (Express your answer to two significant figures.)
How many molecules are in a typical object, such as gas in a tire or water in a drink? We can use the ideal gas law to give us an idea of how large N typically is.Calculate the number of molecules in a cubic meter of gas at standard temperature and pressure (STP), which is defined to be 0ºC and atmospheric pressure.
Helium atoms have a mass of 4u and oxygen molecules have a mass of 32u, where u is defined as an atomic mass unit (u=1.660540×10−27 kg). Compare a gas of helium atoms to a gas of oxygen molecules.
Part A: At what gas temperature TE would the average translational kinetic energy of a helium atom be equal to that of an oxygen molecule in a gas of temperature 300 K?
Part B: At what gas temperature Trms would the root-mean-square (rms) speed of a helium atom be equal to that of an oxygen molecule in a gas at 300 K?
Chapter 10 Solutions
College Physics
Ch. 10.1 - Prob. 10.1QQCh. 10.3 - If you quickly plunge a room-temperature mercury...Ch. 10.3 - If you are asked to make a very sensitive glass...Ch. 10.3 - Two spheres are made of the same metal and have...Ch. 10.3 - Prob. 10.5QQCh. 10.5 - Prob. 10.6QQCh. 10 - Prob. 1WUECh. 10 - Prob. 2WUECh. 10 - Prob. 3WUECh. 10 - An electrician is wiring new electrical outlets in...
Ch. 10 - Prob. 5WUECh. 10 - A cylinder of volume 50.0 cm3 made of Pyrex glass...Ch. 10 - One way to cool a gas is to let it expand. When a...Ch. 10 - A container holds 0.500 m3 of oxygen at an...Ch. 10 - Suppose 26.0 g of neon gas are stored in a tank at...Ch. 10 - Prob. 10WUECh. 10 - (a) Why does an ordinary glass dish usually break...Ch. 10 - Some thermometers are made of a mercury column in...Ch. 10 - Prob. 4CQCh. 10 - Objects deep beneath the surface of the ocean are...Ch. 10 - Why do vapor bubbles in a pot of boiling water get...Ch. 10 - Markings to indicate length are placed on a steel...Ch. 10 - Metal lids on glass jars can often be loosened by...Ch. 10 - Suppose the volume of an ideal gas is doubled...Ch. 10 - An automobile radiator is filled to the brim with...Ch. 10 - When the metal ring and metal sphere in Figure...Ch. 10 - Prob. 1PCh. 10 - The pressure in a constant-volume gas thermometer...Ch. 10 - Prob. 3PCh. 10 - Death Valley holds the record for the highest...Ch. 10 - Show that the temperature 40 is unique in that it...Ch. 10 - Prob. 6PCh. 10 - Show that if the temperature on the Celsius scale...Ch. 10 - The temperature difference between the inside and...Ch. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - A grandfather clock is controlled by a swinging...Ch. 10 - A pair of eyeglass frames are made of epoxy...Ch. 10 - A spherical steel ball bearing has a diameter of...Ch. 10 - A brass ring of diameter 10.00 cm at 20.0C is...Ch. 10 - Prob. 16PCh. 10 - Lead has a density of 11.3 103 kg/m3 at 0C. (a)...Ch. 10 - The Golden Gate Bridge in San Francisco has a main...Ch. 10 - An underground gasoline tank can hold 1.00 103...Ch. 10 - Show that the coefficient of volume expansion, ,...Ch. 10 - A hollow aluminum cylinder 20.0 cm deep has an...Ch. 10 - A construction worker uses a steel tape to measure...Ch. 10 - The hand in Figure P10.23 is stainless steel...Ch. 10 - The Trans-Alaskan pipeline is 1 300 km long,...Ch. 10 - The average coefficient of volume expansion for...Ch. 10 - The density or gasoline is 7.30 102 kg/m3 at 0C....Ch. 10 - Figure P10.27 shows a circular steel casting with...Ch. 10 - The concrete sections of a certain superhighway...Ch. 10 - Prob. 29PCh. 10 - A 20.0-L tank of carbon dioxide gas (CO2) is at a...Ch. 10 - (a) An ideal gas occupies a volume of 1.0 cm3 at...Ch. 10 - An automobile tire is inflated with air originally...Ch. 10 - Prob. 33PCh. 10 - Gas is contained in an 8.00-L vessel at a...Ch. 10 - Prob. 35PCh. 10 - The density of helium gas at 0C is 0 = 0.179...Ch. 10 - An air bubble has a volume of 1.50 cm3 when it is...Ch. 10 - The ideal gas law can be recast in terms of the...Ch. 10 - What is the average kinetic energy of a molecule...Ch. 10 - A sealed cubical container 20.0 cm on a side...Ch. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - A 7.00-L vessel contains 3.50 moles of ideal gas...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Inside the wall of a house, an L-shaped section of...Ch. 10 - The active element of a certain laser is made of a...Ch. 10 - A popular brand of cola contains 6.50 g of carbon...Ch. 10 - Prob. 50APCh. 10 - Prob. 51APCh. 10 - A 1.5-m-long glass tube that is closed at one end...Ch. 10 - Prob. 53APCh. 10 - A vertical cylinder of cross-sectional area A is...Ch. 10 - Prob. 55APCh. 10 - Prob. 56APCh. 10 - A liquid with a coefficient of volume expansion of...Ch. 10 - Before beginning a long trip on a hot day, a...Ch. 10 - Two concrete spans of a 250-m-long bridge are...Ch. 10 - An expandable cylinder has its top connected to a...Ch. 10 - A bimetallic strip of length L is made of two...Ch. 10 - A 250-m-long bridge is improperly designed so that...Ch. 10 - Prob. 63APCh. 10 - Two small containers, each with a volume of 1.00 ...
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