A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. which of the following gives the density of the gas?
mKT
P/(kT)
Pm/(kT)
P/(kTV)
A
Pm/(kT)
B
P/(kT)
C
mKT
D
P/(kTV)
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Solution
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From the ideal gas law,
PV=NkT
⟹NV=PkT
Density of gas=NmV=PmkT
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