What is the maximum amount of C2H2 that can be formed from 50.0 grams of C and 50.0 grams of H?

To determine the maximum amount of acetylene (C2H2) that can be formed from 50.0 grams of carbon (C) and 50.0 grams of hydrogen (H), we need to follow these steps:

  1. Calculate the moles of carbon and hydrogen:
    • Moles of C = mass of C / molar mass of C = 50.0 g / 12.01 g/mol ≈ 4.16 mol
    • Moles of H = mass of H / molar mass of H = 50.0 g / 1.008 g/mol ≈ 49.60 mol
  2. Determine the limiting reactant:

    The balanced chemical equation for the formation of acetylene is:

    2C + H2 → C2H2

    From the equation, 2 moles of C react with 1 mole of H2 to form 1 mole of C2H2.

    Since we have 4.16 moles of C and 49.60 moles of H, the limiting reactant is carbon (C) because it will be consumed first.

  3. Calculate the maximum amount of C2H2 that can be formed:

    From the balanced equation, 2 moles of C produce 1 mole of C2H2.

    Therefore, 4.16 moles of C will produce:

    Moles of C2H2 = 4.16 mol C / 2 = 2.08 mol C2H2

    Now, convert moles of C2H2 to grams:

    Mass of C2H2 = moles of C2H2 × molar mass of C2H2 = 2.08 mol × 26.04 g/mol ≈ 54.16 g

Thus, the maximum amount of acetylene (C2H2) that can be formed from 50.0 grams of carbon and 50.0 grams of hydrogen is approximately 54.16 grams.

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