MCQ
The quantity $\frac{\text{PV}}{\text{kT}}$ represents:
- AMass of the gas.
- BKinetic energy of the gas.
- CNumber of moles of the gas.
- DNumber of molecules in the gas.
✓
Answer
- Number of molecules in the gas.
Explanation:
Here,
PV = nRT ...(1)
Also,
$\text{k}=\frac{\text{R}}{\text{N}}$
$\Rightarrow\text{R}=\text{kN}\ ...(2)$
Now,
PV = nkNT [From eq. (1) and eq. (2)]
$\Rightarrow\text{nN}=\frac{\text{PV}}{\text{kT}}$
nN = Number of molecules
$\frac{\text{PV}}{\text{kT}}$ = Number of molecules.
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