   Chapter 10.6, Problem 10.11CYU

Chapter
Section
Textbook Problem

Calculate the rms speeds of helium atoms and N2 molecules at 298 K.

Interpretation Introduction

Interpretation:

The rms speed of helium atoms and nitrogen molecules at the given temperature has to be calculated.

Concept Introduction:

Speed of the gas molecules are related to temperature.

Equation which describes this relation is:

rms(rootmeansquare)(u)2=3RTM

M-Molar mass

R-Universal gas constant

T-Temperature

Explanation

The rms speed of helium atom and nitrogen molecules at the given temperature can be calculated as

Given

T=298KR=8.314J/K.molMHe=4×10-3kg/molMN2=28×10-3kg/mol

rms(rootmeansquare)(u)2=3RTM

rmsHe=3(8.314J/K.mol)(298K)4×10-3kg/mol=1.85×106J/kg1J=1kg.m2/s2rms=1.85×106kg.m2/kg.s2=1

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