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Question

Energy of an electron for hydrogen in nth orbit En=313.6n2 kcal/mol. Find the value of 'n', if the energy of electrons in a certain orbit is - 19.6kcal/mol.

A
n = 4
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B
n = 3
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C
n = 2
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D
n = 5
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Solution

The correct option is A n = 4
We know, energy of the electron in nth orbit is En=RH×Z2n2 where RH is the rydberg energy constant.
Value of En is given as -45.64 kcal/mol. Equating,
19.6=313.6n2 [ Z = 1 for hydrogen]
On solving, we get n2 = 16
So, n = 4

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