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Question

In which of the following the repulsion is least?

A

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B

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C

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D

All of these have same repulsion

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Solution

The correct option is A


Lets look at all the options here.

This is a trigonal bipyramidal geometry having 3 bond pairs and 2 lone pairs.

Now, first we will take repulsions on the smallest angle (which is 90)

Lets take 1st structure,

If we take upper pyramid, the repulsions are:

1bp - bp, 2lp - bp, 0lp - lp

In the lower pyramide,

1bp - bp, 2lp - bp, 0lp - bp

Total = 2bp - bp, 4lp - bp and 0lp - bp

In II structure,

Upper pyramid,

3lp - bp, 0bp - bp, 0lp - lp

Lower pyramid,

3lp - bp, 0bp - bp, 0lp - lp

Total = 0bp - bp, 6lp - bp, 0lp - lp

In III structure, Upper pyramid,

2lp - bp, 0bp - bp, 1lp - lp

Lower pyramid,

2bp - bp, 1lp - bp, 0lp - lp

Total 2bp - bp, 3lp - bp, 1lp - lp

Now, we know that

lplp>lpbp>bpbp

Now, as III structure contains 1lp - lp and other two does not. Therefore structure III will be least stable.

From I and II, we can see lp - bp repulsions are more I structure II.

Therefore structure I will be most stable.


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