Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 16, Problem 45P
Fifteen identical particles have various speeds: one has a speed of 2.00 m/s, two have speeds of 3.00 m/s, three have speeds of 5.00 m/s, four have speeds of 7.00 m/s, three have speeds of 9.00 m/s, and two have speeds of 12.0 m/s. Find (a) the average speed, (b) the rms speed, and (c) the most probable speed of these particles.
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VRMS-1 Consider a container of Argon gas at a temperature of 25.0 °C. The mass of an Argon
atom is 39.96 AMU, where 1 AMU = 1.66×10-27 kg.
(a) What is the average kinetic energy per Argon atom, in Joules (J)?
(b) What is the RMS average speed of the Argon atoms, in meters per second (m/s)?
(c) What would the temperature of the gas have to be for the RMS average speed to 275
m/s? Give your answer in degrees Celsius (°C).
By counting squares in the following figure, estimate the fraction of argon atoms at T = 300 K that have speeds between 400 m/s and
600 m/s. The curve is correctly normalized. The value of a square is its length as measured on the x-axis times its height as measured
on the y-axis, with the units given on those axes.
28.57
f(v) (s/m)
0.0025
0.002
0.0015
0.001
0.0005
X
0
0
200
400 600
v (m/s)
800
1000 1200
Estimate the number of atoms in the body of a 50 kg physics student. Note that the human body is mostly water, which has molar mass 18.0 g/mol, and that each water molecule contains three atoms.
Chapter 16 Solutions
Principles of Physics: A Calculus-Based Text
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