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Discuss the optical isomerism in tartaric acid.

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Hint: Tartaric acid is an organic compound with formula${{C}_{4}}{{H}_{6}}{{O}_{6}}$. Dissymmetric molecules show optical activity. The compounds which change the direction of light when a plane of polarised light is passed through them are optically active.

Complete step by step solution: As we know, optical isomers are compounds having the same atoms and bonds but in different spatial arrangements and will have non-superimposable mirror images. These non-superimposable mirror images are called enantiomers.
Optical activity of a molecule does not depend on its chirality. If the molecule is dissymmetric and has at least one non-superimposable mirror image, it exhibits optical activity.
The chiral centre is an atom to which 4 different groups of atoms are bonded so that they can form a non-superimposable mirror image.
To draw the optical isomers of tartaric acid, we need to draw its structure first. It has two chiral centres.
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To understand the optical activity better, we can draw its structure as-
 Or we can draw it in the sawhorse structure-
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The two carbons with the ‘*’ marks are the chiral carbons.
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The above compound is optically active as it has no elements of symmetry like\[\sigma ,i,{{S}_{n}}or{{C}_{n}}\]. The compound is asymmetric with two chiral centres. It has an enantiomer which is-
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and can be drawn in sawhorse form as-
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As we can see the above two isomers are mirror images of each other and are known as enantiomers. These are the 2 optically active isomers of tartaric acid. The first one is L-tartaric acid i.e. rotates the plane of polarised light towards the right side and the next one is R-tartaric acid i.e. rotates the plane of polarised light towards the left side.
Besides these enantiomers, tartaric acid also has an optical isomer which has a centre of symmetry although it has two chiral centres. It is optically inactive and is called meso-tartaric acid.
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Hence, tartaric acid has 3 optical isomers out of which two are optically active, enantiomers and the other is optically inactive, meso compound.

Note: It is important to remember here that optical activity does not depend on the chirality of a molecule. As we can see here, tartaric acid has 2 chiral centres yet it has an optically inactive isomer.
It is also important to remember that meso compounds are also optical isomers, but they contain a plane of symmetry. Therefore, all molecules irrespective of their chirality exhibit optical activity when they are not superimposable on their mirror images.