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Chapter 1: 1.19. (page 13)

Suppose you have a gas containing hydrogen molecules and oxygen molecules, in thermal equilibrium. Which molecule are moving faster, on average? By what factor?

Short Answer

Expert verified

In thermal equilibrium, hydrogen molecules moves faster by a factor of 4

Step by step solution

01

Concept of thermal equilibrium which relates with the rms speed of molecules.

Thermal equilibrium refers that both the molecules have same temperature, Hence we can write

32KT=12mv2v=3KTm

02

Relation of speed with molar mass.

From the above equation we can say that v伪1m

Thus the molecule with least mass will have maximum rms speed.

Now O2 had molecular mass of 32 & H2 has molecular mass of 2

mH2mO2=16

03

Arriving at the result.

Thus we can say that hydrogen with least mass has the maximum rms speed and

vH2vO2=mO2mH2=116vO2=4vH2

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