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Question

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

A
CH4 at 0.80 atm
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B
He at 0.40 atm
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C
CO2 at 0.20 atm
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D
NO at 1.00 atm
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Solution

The correct option is C CO2 at 0.20 atm
uav=8RTπM=8PVπM
(using PV=nRT) Therefore, uavPM
a) uav(CH4)0.8016=0.224
b) uav(He)0.404=0.10
c) uav(CO2)0.2044=0.067
d) uav(NO)1.030=0.182
Thus, at 298 K CO2 has the lowest average molecular speed.

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