Question

In a Hydrogen molecule there are a total of four charges, 2 protons in the two nuclei, and 2 electrons. How many unique charge-pairs are there (without double counting)?

Answer 1

The total number of charge pair without double counting is 6.

Step-by-step explanation:

Given that,

Number of proton = 2

Number of electron = 2

We need to calculate the total number of charges in Hydrogen atom

Using formula for number of charges

`n= p+n`

`n =2+2`

`n=4`

Number of charge in pair is

`r = 2`

We need to calculate the total number of possible combination of pairs without double counting

Using formula of combination

`N=_(n)C^(r)`

Where, n = number of charges

r = number of charges per pair

Put the value into the formula

`N=_(4)C^(2)`

`N=(4*3* 2)/(2(4-2))`

`N=(4*3* 2)/(2*2)`

`N=6`

Hence, The total number of charge pair without double counting is 6.