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

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P/(kT)

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Pm/(kT)

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P/(kTV)

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Solution

The correct option is C Pm/(kT)
From the ideal gas law,
$P V = N k T$
$⟹ \frac{N}{V} = \frac{P}{k T}$
Density of gas= $\frac{N m}{V} = \frac{P m}{k T}$

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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?

The correct option is C Pm/(kT)From the ideal gas law,PV=NkT⟹NV=PkTDensity of gas=NmV=PmkT

The correct option is C Pm/(kT)
From the ideal gas law,
$P V = N k T$
$⟹ \frac{N}{V} = \frac{P}{k T}$
Density of gas= $\frac{N m}{V} = \frac{P m}{k T}$