NEET-XII-Physics
24: Kinetic Theory of Gases
- #12The quantity
pVkTrepresents
(a) mass of the gas
(b) kinetic energy of the gas
(c) number of moles of the gas
(d) number of molecules in the gas.digAnsr: dAns : `` \,\mathrm{\,Here\,},``
`` PV=nRT...\left(1\right)``
`` \,\mathrm{\,Also\,},``
`` k=\frac{R}{N}``
`` \Rightarrow R=kN...\left(2\right)``
`` ``
`` \,\mathrm{\,Now\,},``
`` PV=nkNT\left[\,\mathrm{\,From\,}\,\mathrm{\,eq\,}.\left(1\right)\,\mathrm{\,and\,}\,\mathrm{\,eq\,}.\left(2\right)\right]``
`` \Rightarrow nN=\frac{PV}{kT}``
`` nN=\,\mathrm{\,Number\,}\,\mathrm{\,of\,}\,\mathrm{\,molecules\,}``
`` \frac{\,\mathrm{\,P\,}\,\mathrm{\,V\,}}{\,\mathrm{\,k\,}\,\mathrm{\,T\,}}=\,\mathrm{\,Number\,}\,\mathrm{\,of\,}\,\mathrm{\,molecules\,}``
`` ``
`` ``
Thus,
(d) is the correct answer.