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Question: An alkyl halide, \[RX\] reacts with \[KCN\] to give propane nitrile is: a.) \({{C}_{3}}{{H}_{7}}Br...

An alkyl halide, RXRX reacts with KCNKCN to give propane nitrile is:
a.) C3H7Br{{C}_{3}}{{H}_{7}}Br
b.) C4H9Br{{C}_{4}}{{H}_{9}}Br
c.) C2H5Br{{C}_{2}}{{H}_{5}}Br
d.) C5H11Br{{C}_{5}}{{H}_{11}}Br

Explanation

Solution

Hint: RXRX reacts with KCNKCN to give alkyl nitrile and potassium halide. Alkyl halide RXRX is a molecule in which R is alkane and X is a halide group in which there can be any halide chlorine, bromine, fluorine or iodine.

Complete step-by-step answer:
The correct option is A.
The molecule KCNKCN is an ionic compound in which K is positively charged and CN is negatively charged because it has high electronegativity.
Whereas, in the AgCNAgCN bond between Ag and CN is a covalent bond. And the bond is quite strong because C and N have a triple bond in this structure.
So, in KCNKCN bond is easy to break between K and CN whereas inAgCNAgCNbond is quite strong.
EXPLANATION:
In the case of KCN,
KCN\text{ }\to \text{ }{{K}^{+}}\text{ }and\text{ }C{{N}^{\\_}}
RX  R+ and XR-X\text{ }\to \text{ }{{R}^{+}}\text{ }and\text{ }{{X}^{-}}
Then the Product is R-CN and K-X
In the case of AgCN,
AgCN  C  N ( expressing triple bond)AgCN\text{ }\to \text{ }C\text{ }\equiv \text{ }N\text{ }\left( \text{ }expressing\text{ }triple\text{ }bond \right)
Ag+ and N gets lone pairs. Electron density on N is higher.
So, N gains partially -ve charge and Ag separate to exhibit +ve charge
RX  R+ and XR-X\text{ }\to \text{ }{{R}^{+}}\text{ }and\text{ }{{X}^{-}}
Then, R attaches to N and will form RNC and AgX.
That’s why, when haloalkanes reacts with KCN it will form alkane nitrile or alkyl cyanide and when haloalkanes reacts with AgCN it gives isocyanide.

Overall reaction:
RX+KCNRCN+KX RX+AgCNRNC+AgX \begin{aligned} & RX+KCN\to RCN+KX \\\ & RX+AgCN\to RNC+AgX \\\ \end{aligned}

Resultant product is propane nitrile therefore the reactant should be propane halide. Propane halide has 3 carbons, 6 hydrogens and 1 alkyl group. In the given option alkyl group is bromine.

Note: Potassium cyanide reacts with alkyl halide to alkyl nitrile and potassium halide because potassium cyanide is an ionic compound it readily loses cyanide group.