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(B) The ideal gas equation is given by $PV = nRT$,where $n$ is the number of moles.$n = \frac{N}{N_A}$,where $N$ is the total number of molecules and

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$\frac{Pm}{kT}$

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(B) The ideal gas equation is given by $PV = nRT$,where $n$ is the number of moles.$n = \frac{N}{N_A}$,where $N$ is the total number of molecules and $N_A$ is Avogadro's number.Also,the total mass of the gas is $M_{total} = N 	imes m$,where $m$ is the mass of one molecule.Density $ho = \frac{M_{total}}{V} = \frac{Nm}{V}$.From the ideal gas law: $PV = \frac{N}{N_A} RT$.Since $R = k N_A$,we have $PV = \frac{N}{N_A} (k N_A) T = NkT$.Rearranging for $N/V$: $\frac{N}{V} = \frac{P}{kT}$.Substituting this into the density formula: $ho = \left(\frac{N}{V}ight) m = \left(\frac{P}{kT}ight) m = \frac{Pm}{kT}$.

For an ideal gas with pressure $P$,temperature $T$,and volume $V$,where the mass of each molecule is $m$,what is the density of the gas? ($k$ is the Boltzmann constant)

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