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Hydrocarbons question

2023 · 8 Apr · Shift 1 · Q20
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Hydrocarbons question

2023 · 8 Apr · Shift 1 · Q20

JEE MainChemistryHydrocarbonsNumerical+4 / −1
Molar mass of the hydrocarbon (X) which on ozonolysis consumes one mole of O3\mathrm{O}_{3}O3​ per mole of (X)(\mathrm{X})(X) and gives one mole each of ethanal and propanone is ‾\underline{\hspace{2cm}}​g mol−1\mathrm{g}~ \mathrm{mol}^{-1}g mol−1(Molar mass of C:12 g mol−1,H:1 g mol−1\mathrm{C}: 12 \mathrm{~g} \mathrm{~mol}^{-1}, \mathrm{H}: 1 \mathrm{~g} \mathrm{~mol}^{-1}C:12 g mol−1,H:1 g mol−1 )
Numerical answer
View written solutionFree

Correct answer: 70

  1. Interpret the ozonolysis information

    Ozonolysis of an alkene breaks one C=C\mathrm{C=C}C=C bond using one mole of O3\mathrm{O_3}O3​ per mole of alkene.

    Since 111 mole of O3\mathrm{O_3}O3​ is consumed per mole of hydrocarbon XXX, the compound XXX contains one double bond.

  2. Identify the alkene from the products

    The ozonolysis products are:

    • one mole of ethanal: CH3CHO\mathrm{CH_3CHO}CH3​CHO
    • one mole of propanone: CH3COCH3\mathrm{CH_3COCH_3}CH3​COCH3​

    In ozonolysis, each carbon of the double bond becomes a carbonyl carbon.

    • To get ethanal, one alkene carbon must have had substituents: CH3\mathrm{CH_3}CH3​ and H\mathrm{H}H
    • To get propanone, the other alkene carbon must have had substituents: CH3\mathrm{CH_3}CH3​ and CH3\mathrm{CH_3}CH3​

    Therefore, the alkene is: CH3−CH=C(CH3)2\mathrm{CH_3-CH=C(CH_3)_2}CH3​−CH=C(CH3​)2​

  3. Write molecular formula

    Count atoms in CH3−CH=C(CH3)2\mathrm{CH_3-CH=C(CH_3)_2}CH3​−CH=C(CH3​)2​:

    • Carbons: 555
    • Hydrogens: 101010

    So the molecular formula is: C5H10\mathrm{C_5H_{10}}C5​H10​

  4. Calculate molar mass

    M=5(12)+10(1)=60+10=70 g mol−1M = 5(12) + 10(1) = 60 + 10 = 70\ \mathrm{g\ mol^{-1}}M=5(12)+10(1)=60+10=70 g mol−1

  5. Compare with stored answer

    Derived answer = 707070

    Stored correct answer = 707070

    Hence, they agree.

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