How many gram of fluorine must be reacted with 12.0g of MnI2 to produce a 75% yield in this equation: 2MnI2+13F2=2MnF3+4IF5

Chemistry

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Step-by-step solution

5 steps

To determine the mass of fluorine required, we'll follow these steps:

  1. Calculate the molar mass of MnI2 and F2.

    • Molar mass of MnI2 = 54.938 (Mn) + 2 * 126.904 (I) = 54.938 + 253.808 = 308.746 g/mol
    • Molar mass of F2 = 2 * 18.998 (F) = 37.996 g/mol
  2. Convert the given mass of MnI2 to moles.

    • Moles of MnI2 = 12.0 g / 308.746 g/mol = 0.038864 mol MnI2
  3. Use the stoichiometry of the balanced equation to find the theoretical moles of F2 needed for a 100% yield.

    • From the equation (2MnI2 + 13F2 = 2MnF3 + 4IF5), 2 moles of MnI2 react with 13 moles of F2.
    • Moles of F2 (theoretical) = 0.038864 mol MnI2 * (13 mol F2 / 2 mol MnI2) = 0.252616 mol F2
  4. Convert the theoretical moles of F2 to grams.

    • Mass of F2 (theoretical) = 0.252616 mol * 37.996 g/mol = 9.6004 g F2
  5. Adjust for the 75% yield.

    • If the reaction has a 75% yield, it means that to achieve the theoretical amount of product (which is based on the 12.0g of MnI2), you need to supply more reactant (F2) to compensate for the inefficiency.
    • Mass of F2 required = (Theoretical mass of F2) / (Percent yield as a decimal)
    • Mass of F2 required = 9.6004 g / 0.75 = 12.8005 g

    Rounding to three significant figures (based on 12.0g MnI2), 12.8 grams of fluorine must be reacted.

    Answer:

    12.8 grams of fluorine must be reacted with 12.0g of MnI2 to produce a 75% yield.

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