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Question

Question: In the following reaction. The percentage mass of hydrogen in the product (R) is....

In the following reaction.

The percentage mass of hydrogen in the product (R) is.

Answer

12.5%

Explanation

Solution

The given reaction is a Wittig reaction between cyclohexanone and methylenetriphenylphosphorane (Ph3P=CH2Ph_3P=CH_2), converting the ketone into an alkene. The product (R) is methylenecyclohexane (C7H12C_7H_{12}).

To calculate the percentage mass of hydrogen in C7H12C_7H_{12}:

  1. Calculate the molar mass of C7H12C_7H_{12}:

    • Molar mass of C = 12 g/mol
    • Molar mass of H = 1 g/mol
    • Molar mass of C7H12=(7×12)+(12×1)=84+12=96C_7H_{12} = (7 \times 12) + (12 \times 1) = 84 + 12 = 96 g/mol
  2. Calculate the mass of hydrogen in one mole of C7H12C_7H_{12}:

    • Mass of hydrogen = 12×1=1212 \times 1 = 12 g
  3. Calculate the percentage mass of hydrogen:

    • Percentage mass of hydrogen =Mass of hydrogenMolar mass of C7H12×100%= \frac{\text{Mass of hydrogen}}{\text{Molar mass of } C_7H_{12}} \times 100\%
    • Percentage mass of hydrogen =1296×100%=18×100%=12.5%= \frac{12}{96} \times 100\% = \frac{1}{8} \times 100\% = 12.5\%

Therefore, the percentage mass of hydrogen in the product (R) is 12.5%.