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How many grams of hydrogen are in 24.0 grams of C₆H₆?

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Question 7: How many grams of hydrogen are in 24.0 grams of C₆H₆?

  1. Determine the molar mass of C₆H₆.

    Atomic mass of Carbon (C) ≈12.01 g/mol\approx 12.01 \text{ g/mol}
    Atomic mass of Hydrogen (H) ≈1.008 g/mol\approx 1.008 \text{ g/mol}

    Molar mass of C₆H₆ = (6×12.01 g/mol)+(6×1.008 g/mol)(6 \times 12.01 \text{ g/mol}) + (6 \times 1.008 \text{ g/mol})

    =72.06 g/mol+6.048 g/mol= 72.06 \text{ g/mol} + 6.048 \text{ g/mol} =78.108 g/mol= 78.108 \text{ g/mol}
  2. Calculate the mass of hydrogen in one mole of C₆H₆.

    Mass of H in C₆H₆ = 6×1.008 g/mol6 \times 1.008 \text{ g/mol}

    =6.048 g/mol= 6.048 \text{ g/mol}
  3. Calculate the grams of hydrogen in 24.0 grams of C₆H₆.

    We use the ratio of the mass of hydrogen to the molar mass of C₆H₆.
    Grams of H = (Mass of H in C₆H₆Molar mass of C₆H₆)×Total mass of C₆H₆\left( \frac{\text{Mass of H in C₆H₆}}{\text{Molar mass of C₆H₆}} \right) \times \text{Total mass of C₆H₆}

    =(6.048 g78.108 g)×24.0 g= \left( \frac{6.048 \text{ g}}{78.108 \text{ g}} \right) \times 24.0 \text{ g} =0.07743×24.0 g= 0.07743 \times 24.0 \text{ g} =1.85832 g= 1.85832 \text{ g}

    Rounding to one decimal place, this is 1.9 g1.9 \text{ g}.

    Comparing with the options, the closest answer is D.
    The final answer is D. 1.9\boxed{\text{D. 1.9}}.

    Question: The percent composition of nitrogen in lidocaine, C₁₄H₂₂N₂O is .....

  4. Determine the molar mass of C₁₄H₂₂N₂O.

    Atomic mass of Carbon (C) ≈12.01 g/mol\approx 12.01 \text{ g/mol}
    Atomic mass of Hydrogen (H) ≈1.008 g/mol\approx 1.008 \text{ g/mol}
    Atomic mass of Nitrogen (N) ≈14.01 g/mol\approx 14.01 \text{ g/mol}
    Atomic mass of Oxygen (O) ≈16.00 g/mol\approx 16.00 \text{ g/mol}

    Molar mass of C₁₄H₂₂N₂O = (14×12.01)+(22×1.008)+(2×14.01)+(1×16.00)(14 \times 12.01) + (22 \times 1.008) + (2 \times 14.01) + (1 \times 16.00)

    =168.14+22.176+28.02+16.00= 168.14 + 22.176 + 28.02 + 16.00 =234.336 g/mol= 234.336 \text{ g/mol}
  5. Calculate the total mass of nitrogen in one mole of C₁₄H₂₂N₂O.

    Mass of N in C₁₄H₂₂N₂O = 2×14.01 g/mol2 \times 14.01 \text{ g/mol}

    =28.02 g/mol= 28.02 \text{ g/mol}
  6. Calculate the percent composition of nitrogen.

    Percent N = (Mass of NMolar mass of C₁₄H₂₂N₂O)×100%\left( \frac{\text{Mass of N}}{\text{Molar mass of C₁₄H₂₂N₂O}} \right) \times 100\%

    =(28.02 g/mol234.336 g/mol)×100%= \left( \frac{28.02 \text{ g/mol}}{234.336 \text{ g/mol}} \right) \times 100\% =0.11957×100%= 0.11957 \times 100\% =11.957%= 11.957\%

    Rounding to one decimal place, this is 12.0%12.0\%.

    Comparing with the options, the closest answer is D.
    The final answer is \boxed{\text{D. 12.0 %}}.

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