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  • Lithium-Nitrogen Reaction: Calculating Required Mass of Lithium
    Here's how to solve this problem:

    1. Write the Balanced Chemical Equation:

    The reaction between lithium (Li) and nitrogen gas (N₂) produces lithium nitride (Li₃N):

    6 Li + N₂ → 2 Li₃N

    2. Calculate Moles of Nitrogen Gas:

    * At STP (Standard Temperature and Pressure), 1 mole of any gas occupies 22.4 L.

    * Convert the volume of nitrogen gas to liters: 60.00 mL = 0.06000 L

    * Use the molar volume of a gas to find moles:

    (0.06000 L N₂) * (1 mol N₂ / 22.4 L N₂) = 0.002679 mol N₂

    3. Determine the Mole Ratio:

    * From the balanced equation, 1 mole of N₂ reacts with 6 moles of Li.

    4. Calculate Moles of Lithium:

    * Use the mole ratio to find the moles of Li needed:

    (0.002679 mol N₂) * (6 mol Li / 1 mol N₂) = 0.01607 mol Li

    5. Calculate Mass of Lithium:

    * Use the molar mass of Li (6.941 g/mol) to convert moles to grams:

    (0.01607 mol Li) * (6.941 g Li / 1 mol Li) = 0.1117 g Li

    Therefore, 0.1117 grams of lithium are required to react completely with 60.00 mL of nitrogen gas at STP.

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