Chemistry, asked by warzadaeffi4740, 11 months ago

the radius of 3rd orbit of li2+ is

Answers

Answered by aman190k
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RJRishabh: so now you're getting the same answer as of mine
RJRishabh: 1.43 A°
RJRishabh: and mine answer is 1.5 A°
RJRishabh: approximately eqaul ...
RJRishabh: *equal*
Answered by DeenaMathew
3

Given:

The ion li2+.

To Find:

The radius of the 3rd orbit of li2+.

Solution:

To find the radius of the 3rd orbit of li2+ we will follow the following steps:

As we know,

The radius of a hydrogen-like an atom is given by the formula:

radius

 \frac{4п ео n²z }{m { {z}^{2} e}^{2} }

eo= permittivity of free space

n = energy level

m = electron rest mass

e = elementary charge

The value of  \frac{4п ео}{ {e}^{2} }

is 0.52 A°.

So, the radius is directly proportional to

0.52 \frac{ {n}^{2} }{ {z}}

The value of n for the third orbit of lithium-ion is 3 and z = 3 because the atomic number of lithium is 3.

So, by putting values of n and z we get radius =

0.52 \frac{ {3}^{2} }{ {3}}  = 0.52 \times 3 = 1.56

Henceforth, the radius of the 3rd orbit of li2+ is 1.56 A°.

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