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Practical Organic Chemistry question

2021 · 22 Jul · Shift 2 · Q16
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Practical Organic Chemistry question

2021 · 22 Jul · Shift 2 · Q16

JEE MainChemistryPractical Organic ChemistryNumerical+4 / −1
Methylation of 10 g of benzene gave 9.2 g of toluene. Calculate the percentage yield of toluene ‾\underline{\hspace{2cm}}​. (Nearest integer)
Numerical answer
View written solutionFree

Correct answer: 78

  1. Write the reaction

    Methylation of benzene gives toluene: C6H6→C7H8\mathrm{C_6H_6 \rightarrow C_7H_8}C6​H6​→C7​H8​

    The mole ratio is 1 : 1.

  2. Calculate moles of benzene used

    Molar mass of benzene, C6H6\mathrm{C_6H_6}C6​H6​: 6×12+6×1=78 g mol−16\times 12 + 6\times 1 = 78\,\text{g mol}^{-1}6×12+6×1=78g mol−1

    Moles of benzene: n=1078 moln = \frac{10}{78}\,\text{mol}n=7810​mol

  3. Calculate theoretical mass of toluene

    Molar mass of toluene, C7H8\mathrm{C_7H_8}C7​H8​: 7×12+8×1=92 g mol−17\times 12 + 8\times 1 = 92\,\text{g mol}^{-1}7×12+8×1=92g mol−1

    Since the ratio is 1:11:11:1, theoretical moles of toluene: 1078 mol\frac{10}{78}\,\text{mol}7810​mol

    Therefore, theoretical mass of toluene: 1078×92=11.79 g\frac{10}{78}\times 92 = 11.79\,\text{g}7810​×92=11.79g

  4. Calculate percentage yield

    Actual mass of toluene obtained = 9.2 g9.2\,\text{g}9.2g

    %yield=actual yieldtheoretical yield×100\%\text{yield} = \frac{\text{actual yield}}{\text{theoretical yield}}\times 100%yield=theoretical yieldactual yield​×100

    %yield=9.211.79×100≈78.03%\%\text{yield} = \frac{9.2}{11.79}\times 100 \approx 78.03\%%yield=11.799.2​×100≈78.03%

  5. Nearest integer

    78\boxed{78}78​

  6. Comparison with stored answer

    The derived answer is 787878, which matches the stored correct answer.

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