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Hydrocarbon (A) reacts with bromine by substitution to form an alkyl bromide which by Wurtz reaction is converted to a gaseous hydrocarbon containing less than four carbon atoms. The formula of (A) is:

A

CHCHCH \equiv CH

B

CH2=CH2CH_2 = CH_2

C

CH3CH3CH_3 - CH_3

D

CH4CH_4

Step-by-Step Solution

  1. Analyze Reaction 1 (Substitution): The hydrocarbon (A) reacts with bromine via a substitution reaction. This indicates that (A) is a saturated hydrocarbon (Alkane), as unsaturated hydrocarbons (Alkenes/Alkynes) typically undergo addition reactions with halogens [NCERT 11th, Sec 9.2.3]. This eliminates Options A (CHCHCH \equiv CH) and B (CH2=CH2CH_2=CH_2).
  2. Analyze Reaction 2 (Wurtz Reaction): The alkyl bromide formed reacts with sodium (Wurtz reaction) to double its carbon chain. 2RBr+2Nadry etherRR+2NaBr2R-Br + 2Na \xrightarrow{\text{dry ether}} R-R + 2NaBr
  3. Analyze Product Constraints: The final product is a gaseous hydrocarbon with less than four carbon atoms.
  • Case 1: If (A) is Methane (CH4CH_4):
  • Bromination: CH4+Br2hνCH3BrCH_4 + Br_2 \xrightarrow{h\nu} CH_3Br (Methyl bromide).
  • Wurtz Reaction: 2CH3Br+2NaCH3CH32CH_3Br + 2Na \rightarrow CH_3-CH_3 (Ethane).
  • Ethane (C2H6C_2H_6) is a gas and has 2 carbon atoms (which is less than 4). This fits the criteria.
  • Case 2: If (A) is Ethane (CH3CH3CH_3-CH_3):
  • Bromination: C2H6+Br2C2H5BrC_2H_6 + Br_2 \rightarrow C_2H_5Br (Ethyl bromide).
  • Wurtz Reaction: 2C2H5Br+2NaC4H102C_2H_5Br + 2Na \rightarrow C_4H_{10} (Butane).
  • Butane (C4H10C_4H_{10}) has 4 carbon atoms. The condition requires less than four. This does not fit.
  1. Conclusion: The starting hydrocarbon (A) must be Methane (CH4CH_4).
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