The average speed of a gas molecule in meters per second is ????=8????⎯⎯⎯⎯⎯⎯⎯√,vavg=8RTπM, where the temperature ?T is given in kelvins, the molar mass ?M is given in kilogram–moles, and ?=8.31.R=8.31. Calculate ???????dvavgdT at ?=300 KT=300 K for oxygen, which has a molar mass of 0.032 kg/mol.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
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The average speed of a gas molecule in meters per second is ????=8????⎯⎯⎯⎯⎯⎯⎯√,vavg=8RTπM, where the temperature ?T is given in kelvins, the molar mass ?M is given in kilogram–moles, and ?=8.31.R=8.31.

Calculate ???????dvavgdT at ?=300 KT=300 K for oxygen, which has a molar mass of 0.032 kg/mol.

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GivenVavg=8RTπM

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