First slide

Gaseous state

Question

At 298 K, which of the following gases has the lowest average molecular speed?

Moderate

A

${CO}_{2} at 0 .20 atm$
B

He at 0.40 atm
C

${CH}_{4} at 0 .80 atm$
D

NO at 1.00 atm

Solution

$u_{av} = \sqrt{\frac{8 pV}{πM}} u \propto \sqrt{\frac{p}{M}} = \sqrt{\frac{0 .20}{44}} = 0 .067 for {CO}_{2} = \sqrt{\frac{0 .40}{4}} = 0 .32 for He = \sqrt{\frac{0 .80}{16}} = 0 .22 for {CH}_{4} = \sqrt{\frac{1}{30}} = 0 .18 for NO$

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