At 0 °C, fewer than half the molecules move at speeds Ump = the speed exhibited by the largest At 100 °C, more than Uay = the average (mean) speed of all Urms = the speed of a molecule whose kinetic half the molecules number of molecules the molecules move at speeds greater than 500 m/s. energy is equal to the average (mean) kinetic energy of all the molecules greater than 500 m/s. 0°C 100 °C || 5 x 102 5 x 102 Molecular speed (m/s) 10 x 102 10 x 102 Molecular speed (m/s) (a) (b) A Figure 10.12 Distribution of molecular speed. The relative area under the curve for a range of speeds gives the relative fraction of molecules that have those speeds. (b) Position of most probable (Ump), average (uav), and root- mean-square (urms) speeds of gas molecules. The data shown here are for nitrogen gas at 0 °C. cular speeds for nitrogen gas. (a) The effect of temperature on Activate VWindows Fraction of molecules Fraction of molecules

Chemistry: An Atoms First Approach
2nd Edition
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Steven S. Zumdahl, Susan A. Zumdahl
Chapter8: Gases
Section: Chapter Questions
Problem 130AE
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Estimate the fraction of molecules at 100 °C with speeds less than 300 m>s.

At 0 °C, fewer than half the
molecules move at speeds
Ump = the speed
exhibited by the largest
At 100 °C, more than
Uay = the average
(mean) speed of all
Urms = the speed of a
molecule whose kinetic
half the molecules
number of molecules
the molecules
move at speeds greater
than 500 m/s.
energy is equal to the
average (mean) kinetic
energy of all the molecules
greater than 500 m/s.
0°C
100 °C
||
5 x 102
5 x 102
Molecular speed (m/s)
10 x 102
10 x 102
Molecular speed (m/s)
(a)
(b)
A Figure 10.12 Distribution of
molecular speed. The relative area under the curve for a range of speeds gives the relative fraction
of molecules that have those speeds. (b) Position of most probable (Ump), average (uav), and root-
mean-square (urms) speeds of gas molecules. The data shown here are for nitrogen gas at 0 °C.
cular speeds for nitrogen gas. (a) The effect of temperature on
Activate VWindows
Fraction of molecules
Fraction of molecules
Transcribed Image Text:At 0 °C, fewer than half the molecules move at speeds Ump = the speed exhibited by the largest At 100 °C, more than Uay = the average (mean) speed of all Urms = the speed of a molecule whose kinetic half the molecules number of molecules the molecules move at speeds greater than 500 m/s. energy is equal to the average (mean) kinetic energy of all the molecules greater than 500 m/s. 0°C 100 °C || 5 x 102 5 x 102 Molecular speed (m/s) 10 x 102 10 x 102 Molecular speed (m/s) (a) (b) A Figure 10.12 Distribution of molecular speed. The relative area under the curve for a range of speeds gives the relative fraction of molecules that have those speeds. (b) Position of most probable (Ump), average (uav), and root- mean-square (urms) speeds of gas molecules. The data shown here are for nitrogen gas at 0 °C. cular speeds for nitrogen gas. (a) The effect of temperature on Activate VWindows Fraction of molecules Fraction of molecules
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