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Question: Which of the following is a homologue of \( C{H_3}NHC{H_2}C{H_2}C{H_3} \) ? (A) \( C{H_3}C{H_2}NHC...

Which of the following is a homologue of CH3NHCH2CH2CH3C{H_3}NHC{H_2}C{H_2}C{H_3} ?
(A) CH3CH2NHCH2CH3C{H_3}C{H_2}NHC{H_2}C{H_3}
(B) CH3CH2CH2NH2C{H_3}C{H_2}C{H_2}N{H_2}
(C) CH3CH(CH3)NH2C{H_3}CH(C{H_3})N{H_2}
(D) CH3CH2NHCH3C{H_3}C{H_2}NHC{H_3}

Explanation

Solution

Homologous series is the series of alkanes, alkenes or alkynes in which the molecular formula of two compounds differ by one mole of CH2C{H_2} group only. For example: methane and ethane belong to the same homologous family and are adjacent to each other.

Complete step by step solution:
First of all we will talk about the alkanes, alkenes and alkynes.
Alkanes: The compounds which are formed by carbon and hydrogen and have only a single bond between the carbon-carbon atoms, are known as alkanes. For example: The first member of the alkane family is ethane (H3CCH3)({H_3}C - C{H_3}) . The general formula of the alkane group is CnH(2n+2){C_n}{H_{(2n + 2)}} .
Alkenes: The compounds which are formed by carbon and hydrogen and have at least one double bond along with a single bond between the carbon-carbon atoms, are known as alkenes. For example: The first member of the alkene family is ethene (H2C=CH2)({H_2}C = C{H_2}) . The general formula of the alkene group is CnH2n{C_n}{H_{2n}} .
Alkynes: The compounds which are formed by carbon and hydrogen and have at least one triple bond along with a single bond between the carbon-carbon atoms, are known as alkynes. For example: The first member of the alkyne family is ethyne (HCCH)(HC \equiv CH) . The general formula of the alkyne group is CnH(2n2){C_n}{H_{(2n - 2)}} .
Homologous series is the series of alkanes, alkenes or alkynes in which the molecular formula of two compounds differ by one mole of CH2C{H_2} group only.
Here we are given with the compound CH3NHCH2CH2CH3C{H_3}NHC{H_2}C{H_2}C{H_3} the general formula is C4NH11{C_4}N{H_{11}} so the homologue of this compound will be either C3NH9{C_3}N{H_9} or C5NH13{C_5}N{H_{13}} so the compound in option d i.e. CH3CH2NHCH3C{H_3}C{H_2}NHC{H_3} has the general formula C3NH9{C_3}N{H_9} .
So option D is correct.

Note:
Primary alkyl group: Those alkyl groups in which carbon is attached with three hydrogen atoms and carbon atoms.
Secondary alkyl group: Those alkyl groups in which carbon is attached with two hydrogen atoms and two carbon atoms.
Tertiary alkyl group: Those alkyl groups in which carbon with one hydrogen and three carbon atoms.