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Question: The first three members of a homologous series are \[C{H_4}\], \[{C_2}{H_6}\], \[{C_3}{H_8}\] the fi...

The first three members of a homologous series are CH4C{H_4}, C2H6{C_2}{H_6}, C3H8{C_3}{H_8} the fifth member of his series will be:
A) C5H10{C_5}{H_{10}}
B) C5H14{C_5}{H_{14}}
C) C5H12{C_5}{H_{12}}
D) C5H8{C_5}{H_8}

Explanation

Solution

As we know that in organic chemistry, hydrocarbons are an important topic. The hydrocarbons are majorly classified as three groups. There are alkane, alkene and alkyne. The alkane means carbon-carbon single bond. The alkene has a carbon-carbon double bond. The alkyne means carbon-carbon having triple bond in the molecule. The full form of IUPAC is the International Union of Pure and Applied Chemistry. It is a World Wide organisation for the nomenclature of the new elements in the periodic table and chemical molecules. The IUPAC has certain rules and regulations for the naming of the organic compound. In that method only we named the organic molecules in World level. The naming of any organic molecule depends on the parent saturated hydrocarbon.

Complete answer:
The general homologous formula for the alkane is CnH2n + 2{{\text{C}}_{\text{n}}}{{\text{H}}_{{\text{2n + 2}}}}.
Methane is the first member of the alkane homologous series. The molecular formula of methane is CH4C{H_4}.
Ethane is the second member of the alkane homologous series. The molecular formula of ethane is C2H6{C_2}{H_6}.
Propane is the third member of the alkane homologous series. The molecular formula of propane is C3H8{C_3}{H_8}.
Butane is the fourth member of the alkane homologous series. The molecular formula of butane is C4H10{C_4}{H_{10}}.
Pentane is the fifth member of the alkane homologous series. The molecular formula of pentane is C5H12{C_5}{H_{12}}.
According to the above discussion, we conclude pentane is the fifth member of the alkane homologous series. The molecular formula of pentane is C5H12{C_5}{H_{12}}.

Hence, the option C is the correct answer.

Note:
We need to know the conversion of one type of hydrocarbon to another hydrocarbon by oxidation and reduction. The oxidation of alkane to give alkene. The oxidation of alkene to give alkyne. The reduction of alkyne to give alkene. The reduction of alkene to give alkane. It has some general formulas. The general formula of alkane is CnH2n + 2{{\text{C}}_{\text{n}}}{{\text{H}}_{{\text{2n + 2}}}}. The general formula of alkene is CnH2n{{\text{C}}_{\text{n}}}{{\text{H}}_{{\text{2n}}}}. The general formula of alkyne is CnH2n - 2{{\text{C}}_{\text{n}}}{{\text{H}}_{{\text{2n - 2}}}}. The oxidation means the addition of oxygen or removal of hydrogen or the loss of electrons in the reactant in chemical reaction. The reduction means the removal of hydrogen or the addition of oxygen or the gain of electrons in the chemical reaction.