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Sagot :
The average wavelength of the fluorine molecule will be 2.36 × 10⁻¹¹ metres.
Fluorine Molecule's Speed = 442.4 m/s
The Molar Mass of the F₂ = 38 g/mol
Now as we know that any molecule's
1 mole contain = 6.022 × 10²³ Molecule
So, 1 Fluorine molecule mass =
Fluorine's Molar mass / Number of Fluorine molecule in 1 mole
So, 1 Fluorine molecule mass = 38 / ( 6.022 × 10²³ )
1 Fluorine molecule mass = 6.31 × 10⁻²³ g
1 Fluorine molecule mass = 6.31 × 10⁻²⁶ Kg
So molecule's momentum = Molecule's mass × Molecule's Velocity
So molecule's momentum = ( 6.31 × 10⁻²⁶ ) × 442.4
So molecule's momentum = 2.8 × 10⁻²³ Kg.m/s
Now wavelength of Fluorine molecule = λ = planks constant / momentum
wavelength of Fluorine molecule = λ = ( 6.626 × 10⁻³⁴ ) / ( 2.8 × 10⁻²³ )
wavelength of Fluorine molecule = λ = 2.36 × 10⁻¹¹ metre
So the wavelength of the diatomic fluorine molecule came out to be 2.36 × 10⁻¹¹ metres after applying all the concepts and formulas.
Learn more about Wavelength here:
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