Suppose that the root-mean-square velocity v-ms of water molecules (molecular mass is equal to 18.0 g/mol) in a flame is found to be 1150 m/s. What temperature T does this represent? The Boltzmann constant is k = 1.38 × 10-23 J/K and Avogadro's number is NA = 6.022 x 1023 mol-.

Suppose that the root-mean-square velocity v-ms of water molecules (molecular mass is equal to 18.0 g/mol) in a flame is found to be 1150 m/s. What temperature T does this represent? The Boltzmann constant is k = 1.38 × 10-23 J/K and Avogadro's number is NA = 6.022 x 1023 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

Problem 39PQ

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Concept explainers

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.

Question

Suppose that the root-mean-square velocity vrms of water molecules (molecular mass is equal to 18.0 g/mol) in a flame is found
to be 1150 m/s. What temperature T does this represent?
The Boltzmann constant is k = 1.38 × 10 J/K and Avogadro's number is NA
-23
6.022 x 1023 mol-1.
T =
K
Question Credit: OpenStax College Physics

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