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When benzene-1,3-dicarbaldehyde reacts with 50% of $NaOH$, the possible products formed is/are:
A.
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B.
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C.
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D.
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Answer
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Hint:It is a Cannizzaro reaction, when a self oxidation reduction reaction in which aldehydes that do not have any $\alpha $-hydrogen atom undergo disproportionation reaction (i.e., self-redox reaction) in the presence of 50% aqueous or ethanolic solution of alkali in which one of the molecules being reduced to alcohol and other being oxidised to the salt of the corresponding acid.

Complete answer:
We are given benzene-1,3-dialdehyde which has a structure like this.
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At both $\alpha $-position of the compound that is 1 and 3, we don’t have a hydrogen atom. So the condition for Cannizzaro reaction is true and we have a 50% of $NaOH$. Hence the Cannizzaro reaction will occur here. Also since there are two carbonyl groups it undergoes intramolecular Cannizzaro reaction.
As we know that it is a disproportionation reaction, both oxidation and reduction happen in the molecule. When the carbonyl compound is attached to 1st and 3rd position of the benzene it gets oxidised to form $ - CO{O^ - }$. So we understood that at position 1 and 3 at some point of time we will have $ - CO{O^ - }$ attached, hence option (a) is a possible product.
Also when benzene-1,3-dialdehyde gets reduced to form alcohols at position 1 and 3 we get $ - C{H_2}OH$. Hence option (b) is also a possible product.
And on the intermediate of this, it may also occur at some point of time one $ - CO{O^ - }$ and one $ - C{H_2}OH$ is formed. Therefore, option (c) is also a possible product.
Now, coming to option(d) we can see that the position of $ - CO{O^ - }$ and $ - C{H_2}OH$are at 1 and 4 respectively, which is never going to happen as the carbonyl group are present and 1 and 3 position of the compound. Hence this product never forms.

Hence, options A,B and C are correct.

Note:

In the presence of $\alpha $-hydrogen the reaction occurred is known as aldol condensation. In this reaction, two molecules of aldehydes or ketones having $\alpha $-hydrogen condense together in presence of a base like $NaOH$ to form $\beta $-hydroxy aldehyde or $\beta $-hydroxy ketone respectively which are collectively known as aldol.