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Question
The quantity \[\frac{pV}{kT}\] represents
Options
mass of the gas
kinetic energy of the gas
number of moles of the gas
number of molecules in the gas.
Solution
number of molecules in the gas.
Here ,
\[PV = nRT . . . \left( 1 \right)\]
\[\text { Also }, \]
\[k = \frac{R}{N}\]
\[ \Rightarrow R = kN . . . \left( 2 \right)\] \[\text { Now }, \] \[PV = nkNT \left[ \text { From eq }. \left( 1 \right) \text { and eq } . \left( 2 \right) \right]\]
\[ \Rightarrow nN = \frac{PV}{kT}\]
\[nN = \text { Number of molecules }\]
\[\frac{PV}{kT} = \text { Number of molecules }\]
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