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Hint: The Tollen's reagent test is used to distinguish between aldehyde and a ketone. If after the reaction a silver mirror is formed then it indicates the presence of a ketone group, else an aldehyde group is present.
Complete step by step answer: It is given in the question that a compound X that has a molecular formula ${C}_{3}{H}_{8}O$ is treated with acidified potassium dichromate to form a product (Y) with molecular formula ${C}_{3}{H}_{6}O$. The reaction can be written as follows.
$ \underset { ({ C }_{ 3 }{ H }_{ 8 }O) }{ X } \quad \xrightarrow [ { K }_{ 2 }{ Cr }_{ 2 }{ O }_{ 7 } ]{ H^{ + } } \quad \underset { ({ C }_{ 3 }{ H }_{ 6 }O) }{ Y }$
And then the compound Y, when heated with ammoniacal $Ag{NO}_{3}$ does not give a shining silver mirror. After this the compound Y is made to react with an aqueous solution of $N{H}_{2}CONHN{H}_{2}$, HCl and sodium acetate, gives a product (Z). The reaction can be written as follows.
\[\underset{({{C}_{3}}{{H}_{6}}O)}{\mathop{Y}}\,\quad \xrightarrow[{}]{Aq.(N{{H}_{2}}CONHN{{H}_{2}}+HCl+C{{H}_{3}}CO{{O}^{-}}N{{a}^{+}})}\quad Z\]
Let us now find out the compounds X, Y, and Z.
We know that aldehydes gives a shining silver mirror but in this case no shining silver mirror is formed. Therefore, from this we can come to the conclusion that the compound Y is a ketone. Thus, the molecular structure of compound Y is given as:
And we know that the compound X is getting oxidized with the help of potassium dichromate. Therefore, the compound X must be alcohol. Thus, the molecular structure of compound X is given as:
Now the reaction of compound X to form compound Y when treated with acidic potassium dichromate can be given as follows.
$ \underset { Propan-2-ol }{ C{ H }_{ 3 }-CH(OH)-C{ H }_{ 3 } } \quad \xrightarrow [ { K }_{ 2 }{ Cr }_{ 2 }{ O }_{ 7 } ]{ H^{ + } } \quad \underset { Propanone }{ C{ H }_{ 3 }-CO-C{ H }_{ 3 } }$
And further, when the ketone i.e., propanone is reacted with an aqueous solution of $N{H}_{2}CONHN{H}_{2}$, HCl and sodium acetate, the oxygen in the compound Y gets replaced by $N{H}_{2}NHCON{H}_{2}$. The reaction involved is given as:
$\underset{Propanone}{\mathop{C{{H}_{3}}-CO-C{{H}_{3}}}}\,\quad \xrightarrow[{}]{Aq.(N{{H}_{2}}CONHN{{H}_{2}}+HCl+C{{H}_{3}}CO{{O}^{-}}N{{a}^{+}})}\quad {{(C{{H}_{3}})}_{2}}=NNHCON{{H}_{2}}$
Therefore, the compound Z is ${(C{H}_{3})}_{2}=NNHCON{H}_{2}$. Hence, option (B) is the correct option.
Note: The $-N{H}_{2}$ group is an electron withdrawing group and shows -I effect. And the more the no. of EWG, the more the electron density at the atom and thus more reactive. Therefore, $N{H}_{2}NHCON{H}_{2}$ gets attached from the side which has more no. of $-N{H}_{2}$ groups.
Complete step by step answer: It is given in the question that a compound X that has a molecular formula ${C}_{3}{H}_{8}O$ is treated with acidified potassium dichromate to form a product (Y) with molecular formula ${C}_{3}{H}_{6}O$. The reaction can be written as follows.
$ \underset { ({ C }_{ 3 }{ H }_{ 8 }O) }{ X } \quad \xrightarrow [ { K }_{ 2 }{ Cr }_{ 2 }{ O }_{ 7 } ]{ H^{ + } } \quad \underset { ({ C }_{ 3 }{ H }_{ 6 }O) }{ Y }$
And then the compound Y, when heated with ammoniacal $Ag{NO}_{3}$ does not give a shining silver mirror. After this the compound Y is made to react with an aqueous solution of $N{H}_{2}CONHN{H}_{2}$, HCl and sodium acetate, gives a product (Z). The reaction can be written as follows.
\[\underset{({{C}_{3}}{{H}_{6}}O)}{\mathop{Y}}\,\quad \xrightarrow[{}]{Aq.(N{{H}_{2}}CONHN{{H}_{2}}+HCl+C{{H}_{3}}CO{{O}^{-}}N{{a}^{+}})}\quad Z\]
Let us now find out the compounds X, Y, and Z.
We know that aldehydes gives a shining silver mirror but in this case no shining silver mirror is formed. Therefore, from this we can come to the conclusion that the compound Y is a ketone. Thus, the molecular structure of compound Y is given as:
And we know that the compound X is getting oxidized with the help of potassium dichromate. Therefore, the compound X must be alcohol. Thus, the molecular structure of compound X is given as:
Now the reaction of compound X to form compound Y when treated with acidic potassium dichromate can be given as follows.
$ \underset { Propan-2-ol }{ C{ H }_{ 3 }-CH(OH)-C{ H }_{ 3 } } \quad \xrightarrow [ { K }_{ 2 }{ Cr }_{ 2 }{ O }_{ 7 } ]{ H^{ + } } \quad \underset { Propanone }{ C{ H }_{ 3 }-CO-C{ H }_{ 3 } }$
And further, when the ketone i.e., propanone is reacted with an aqueous solution of $N{H}_{2}CONHN{H}_{2}$, HCl and sodium acetate, the oxygen in the compound Y gets replaced by $N{H}_{2}NHCON{H}_{2}$. The reaction involved is given as:
$\underset{Propanone}{\mathop{C{{H}_{3}}-CO-C{{H}_{3}}}}\,\quad \xrightarrow[{}]{Aq.(N{{H}_{2}}CONHN{{H}_{2}}+HCl+C{{H}_{3}}CO{{O}^{-}}N{{a}^{+}})}\quad {{(C{{H}_{3}})}_{2}}=NNHCON{{H}_{2}}$
Therefore, the compound Z is ${(C{H}_{3})}_{2}=NNHCON{H}_{2}$. Hence, option (B) is the correct option.
Note: The $-N{H}_{2}$ group is an electron withdrawing group and shows -I effect. And the more the no. of EWG, the more the electron density at the atom and thus more reactive. Therefore, $N{H}_{2}NHCON{H}_{2}$ gets attached from the side which has more no. of $-N{H}_{2}$ groups.
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