Question

How many electrons can the 5th shell hold? 8 18 24 32 50

Answer 1

Answer : The number of electrons present in the 5th shell are, 50.

Explanation :

As we know that the electrons are filled in the electrons shell of an atom from lower energy shells to the higher energy shells. Each shell contains fixed number of electrons that means 1st shell contains 2 electrons, 2nd shell contains 8 (2+6) electrons, 3rd shell contains 18 (2+6+10) electrons and so on.

The general formula of for the 'nth' shell will be : $2n^2$. Where 'n' is the number of shell.

As we are given that the number of shell is, 5th

So, the number of electrons present in 5th shell are = $2n^2=2\times (5)^2=2\times 25=50$

Hence, the number of electrons present in the 5th shell are, 50.

Answer 2

Each shell contains a fixed number of electrons. The general formula of the number of electrons can be hold in n-th shell is 2n². 5th shell can hold 2x5² = 50  number of electrons.

1st shell contains 2 X 1²= 2 number of electrons, 2nd shell contains 2 X 2²=8 number of electrons, 3rd shell contains 2 X 3²=18 number of electrons, 4th shell contains 2 X 4²=32 number of electrons,  5th shell contains 2 X 5²=50 number of electrons and so on.