Question

If p is the pressure, $V$ the volume, $R$ the gas constant, $k$ the Boltzmann constant and $T$ the absolute temperature, then the number of molecules in the given mass of the gas is given

• A. $\frac{pV}{RT}$
• B. $\frac{pV}{kT}$
• C. $\frac{pR}{T}$
• D. pV

Answer 1

Answer: (B)

From ideaI gas equation
$ \, \, \, \, \, \, \, \, \, $ pV = nkT
where k is Boltzmann's constant. p is pressure, V is volume and T is absolute temperature.
Hence, number of molecules in given mass of gas
$ \, \, \, \, \, \, \, \, \, n = \frac{pV}{kT}$