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Question of 147

Q.(a) Arrange the following compounds in order of their increasing boiling points (1 mark): Bromomethane, Bromoform, Chloromethane, Dibromomethane

(b) Identify A, B and R in the given sequence of reactions (2 marks): R−X→MgA→H2OBR-X \xrightarrow{Mg} A \xrightarrow{H_2O} B; separately, R−X→Na/ether(CH3)3C−C(CH3)3R-X \xrightarrow{Na/ether} (CH_3)_3C-C(CH_3)_3 (2,2,3,3-tetramethylbutane, formed by Wurtz coupling of two molecules of R−XR-X) OR
(c) Arrange the following compounds in order of their reactivity towards SN2S_N2 reaction (1 mark): 2-bromo-2-methylbutane, 1-bromobutane, 2-bromobutane
(d) How would you convert 1-bromopropane to butanoic acid? (2 marks)
Meghalaya MboseMBOSE Meghalaya Intermediate Board 2024Subjective· 3mImportance★★★★★
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Boiling point rises with molecular mass/polarizability of the halogens present; identifying RR from the Wurtz product pins down the Grignard sequence.

(a) Boiling-point order

For haloalkanes of comparable size, boiling point is governed mainly by the strength of van der Waals (London dispersion) forces, which increase with (i) molar mass and (ii) the number/polarizability of halogen atoms:

  • CH3ClCH_3Cl (chloromethane), M=50.5M = 50.5: bp ≈−24 °C\approx -24\,°C — smallest, least polarizable halogen, lowest bp.
  • CH3BrCH_3Br (bromomethane), M=94.9M = 94.9: bp ≈4 °C\approx 4\,°C — Br is heavier and more polarizable than Cl.
  • CH2Br2CH_2Br_2 (dibromomethane), M=173.8M = 173.8: bp ≈97 °C\approx 97\,°C — two polarizable Br atoms.
  • CHBr3CHBr_3 (bromoform), M=252.7M = 252.7: bp ≈150 °C\approx 150\,°C — three Br atoms, largest and most polarizable, strongest dispersion forces.

So, increasing order: CH3Cl<CH3Br<CH2Br2<CHBr3CH_3Cl < CH_3Br < CH_2Br_2 < CHBr_3.

(b) Identifying A, B and R

The Wurtz reaction couples two molecules of the same R−XR{-}X using sodium in dry ether: 2R−X+2Na→dry etherR−R+2NaX2R{-}X + 2Na \xrightarrow{\text{dry ether}} R{-}R + 2NaX. The given product is (CH3)3C−C(CH3)3(CH_3)_3C{-}C(CH_3)_3 (2,2,3,3-tetramethylbutane), a symmetrical molecule made of two identical tert-butyl fragments joined together, so:

R=(CH3)3C− (tert-butyl group),R−X=(CH3)3C−XR = (CH_3)_3C{-} \text{ (tert-butyl group)}, \quad R{-}X = (CH_3)_3C{-}X

Now apply this same R−XR{-}X to the Grignard sequence:

(CH3)3C−X+Mg→dry ether(CH3)3C−MgX⏟A (Grignard reagent)(CH_3)_3C{-}X + Mg \xrightarrow{\text{dry ether}} \underbrace{(CH_3)_3C{-}MgX}_{A \text{ (Grignard reagent)}}

A+H2O→(CH3)3C−H⏟B (isobutane, 2-methylpropane)+Mg(OH)XA + H_2O \rightarrow \underbrace{(CH_3)_3C{-}H}_{B \text{ (isobutane, 2-methylpropane)}} + Mg(OH)X

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