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An ideal gas occupies a volume V at temperature T and pressure P. The mass of each molecule is m. Then the number of molecules in the sample is?

(A) $\large\frac{PV}{m}$ (B) $\large\frac{m}{PV}$ (C) $\large\frac{k}{PVT} $ (D) $\large\frac{PV}{kT} $

1 Answer

For an ideal gas, $PV = nRT \rightarrow PV = \large\frac{x}{N_A}$$RT$, where $N_A$ is Avagadro's number and $x$ is the number of molecules.
$\Rightarrow x = \large\frac{PV}{kT}$, using $k = \large\frac{R}{N_A}$
answered Jan 23, 2014 by balaji.thirumalai

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