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Use the Maxwell-Boltzmann distribution of speeds to estimate the fraction, of CH4 molecules at 298.15 K that bave speeds in the range 400 to 600 ms?

Use the Maxwell-Boltzmann distribution of speeds to estimate the fraction, of CH4 molecules at 298.15 K that bave speeds in the range 400 to 600 ms?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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4. The Maxwell-Boltzmann distribution of speeds is: 3 -M•v² M 2 R.T f(v) = 4 T 2 T.R.T and the fraction of molecules that bave a speed betwen v and vtdy is f(v)dv. The fraction of molecules te bave a speed in the rauge between vi and v2 is, therefore: v2 K:= v1 If the range is relativelx small, boweKer, such that f(v) is nearlx constant OYeT that range, the integral may, be apProximated by v1+v2 (-(12-v1) L:=f Use the MaxwellBoltzmann distribution of speeds to estimate the fractioV, of CH4 molecules at 298.15 K that bave speeds in the rauge, 400 to 600 ms? 0.002- f(v) 0.001 0.001 0.001 9-104. 7.5-10 G-104 4.5-104 3-10 1.5-104 v (m/s) 200 400 G00 800 1-10 1.2-10 1.4-10 1.6-10 1.8-10 2-10
Transcribed Image Text:4. The Maxwell-Boltzmann distribution of speeds is: 3 -M•v² M 2 R.T f(v) = 4 T 2 T.R.T and the fraction of molecules that bave a speed betwen v and vtdy is f(v)dv. The fraction of molecules te bave a speed in the rauge between vi and v2 is, therefore: v2 K:= v1 If the range is relativelx small, boweKer, such that f(v) is nearlx constant OYeT that range, the integral may, be apProximated by v1+v2 (-(12-v1) L:=f Use the MaxwellBoltzmann distribution of speeds to estimate the fractioV, of CH4 molecules at 298.15 K that bave speeds in the rauge, 400 to 600 ms? 0.002- f(v) 0.001 0.001 0.001 9-104. 7.5-10 G-104 4.5-104 3-10 1.5-104 v (m/s) 200 400 G00 800 1-10 1.2-10 1.4-10 1.6-10 1.8-10 2-10
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