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Question: Angle strain cyclopropane is: A.\(24^\circ 44'\) B.\(9^\circ 44'\) C.\(44'\) D.\( - 5^\circ...

Angle strain cyclopropane is:
A.24∘44′24^\circ 44'
B.9∘44′9^\circ 44'
C.44′44'
D.−5∘16′ - 5^\circ 16'

Explanation

Solution

A molecule experiences strain when its chemical structure undergoes some stress which raises its internal energy in comparison to strain free reference compounds. When this strain is produced due to deviation in bond angles of a molecule, it is termed as angle strain.

Complete step by step answer:
Basically angle strain is the increase in potential energy of a molecule due to deviation of bond angles from ideal values. It is also termed as ring strain because it is mostly found in cyclic structures and due to rigidity, compounds can have only one conformation as we can see in the structure of cyclopropane.
Structure of cyclopropane:

As we all know that strain is calculated by the deviation in bond angle.
In our molecule Cyclopropane, the carbon has sp3s{p^3} hybridization which tells us that it should have an angle of 109∘28′109^\circ 28' but due to its rigid structure, it actually can’t maintain this angle so as a result there is the generation of angle strain.
This angle strain is calculated in terms of bond angle which is as follows:
Deviation,d=109∘28′−α2d = \dfrac{{109^\circ 28' - \alpha }}{2} , where α\alpha is the bond angle in Cyclopropane.
⇒α=60∘\Rightarrow \alpha = 60^\circ
Now put the value of α\alpha in deviation formula.
Deviation ,d=109∘28′−60∘2=+24∘44′d = \dfrac{{109^\circ 28' - 60^\circ }}{2} = + 24^\circ 44'
⇒\Rightarrow Angle strain in Cyclopropane is 24∘44′24^\circ 44' .
Hence option (A) is correct.

Note:
When we see any deviation in a molecule from its standard structure we can predict that it is a strained molecule. Scientifically it is predicted by the energy of molecules which is enhanced because of unfavourable bond lengths, bond angles or dihedral angles.