6. A sample of hydrogen gas has 100 hydrogen
molecules. Each molecule is supplied with 10
eV of energy. The maximum number of emis-
sion spectral lines obtained is
Answers
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Explanation:
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Answer:
Zero
Explanation:
Given
A sample of hydrogen gas has 100 hydrogen molecules and each molecule is supplied with 10 eV of energy
Energy of an electron in the Hydrogen atom = -13.6()ev
Where Z = atomic number = 1 for Hydrogen atom
n = shell number
Energy for first shell of an Hydrogen atom = -13.6()ev
= -13.6ev
energy supplied to each molecule = 10 ev
∴ total energy of the Hydrogen molecule = -13.6 +10
= -3.6ev
Now
- 13.6() = -3.6
-13.6(() = -3.6
⇒ n ≈ 1.9
i.e 1 < n < 2 . Since value of n is less than 2 , the electron cannot be excited to the 2nd shell. Therefore there will be no emission of spectral lines. hence number of spectral lines obtained is zero.
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