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  • Xenon Tetrafluoride Production: Calculating Theoretical Yield
    Here's how to solve this problem:

    1. Write the Balanced Chemical Equation

    The reaction between xenon (Xe) and fluorine (F₂) to form xenon tetrafluoride (XeF₄) is:

    Xe + 2F₂ → XeF₄

    2. Determine the Limiting Reactant

    * Calculate moles of Xe:

    * Molar mass of Xe = 131.29 g/mol

    * Moles of Xe = 130 g / 131.29 g/mol = 0.99 mol

    * Calculate moles of F₂:

    * Molar mass of F₂ = 38.00 g/mol

    * Moles of F₂ = 100 g / 38.00 g/mol = 2.63 mol

    * Compare the mole ratio: The balanced equation shows that 1 mole of Xe reacts with 2 moles of F₂. Since we have 0.99 moles of Xe and 2.63 moles of F₂, Xe is the limiting reactant because we don't have enough F₂ to react with all of the Xe.

    3. Calculate the Theoretical Yield of XeF₄

    * The balanced equation shows that 1 mole of Xe produces 1 mole of XeF₄.

    * Since we have 0.99 moles of Xe, we can theoretically produce 0.99 moles of XeF₄.

    4. Convert Moles of XeF₄ to Grams

    * Molar mass of XeF₄ = 207.29 g/mol

    * Mass of XeF₄ = 0.99 mol * 207.29 g/mol = 205.26 g

    Therefore, the theoretical mass of xenon tetrafluoride that should form is 205.26 g.

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