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Ch.6 - Gases
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Non è quello che usi tu?Cambia libro di testo
Capitolo 6, Problema 84

Lithium reacts with nitrogen gas according to the reaction: 6 Li(s) + N2(g) → 2 Li3N(s) What mass of lithium (in g) reacts completely with 58.5 mL of N2 gas at STP?

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Identify the balanced chemical equation: \(6 \text{ Li(s)} + \text{N}_2(\text{g}) \rightarrow 2 \text{ Li}_3\text{N(s)}\).
Determine the molar volume of a gas at STP, which is 22.4 L/mol.
Convert the volume of \(\text{N}_2\) gas from mL to L: \(58.5 \text{ mL} = 0.0585 \text{ L}\).
Calculate the moles of \(\text{N}_2\) gas using the molar volume: \(\text{moles of } \text{N}_2 = \frac{0.0585 \text{ L}}{22.4 \text{ L/mol}}\).
Use the stoichiometry of the balanced equation to find the moles of \(\text{Li}\) needed, then convert moles of \(\text{Li}\) to grams using its molar mass (6.94 g/mol).

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Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions based on the balanced equation. It allows us to determine the proportions of substances involved in a reaction, which is essential for solving problems related to mass and volume of reactants and products.
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Stoichiometry Concept

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. At standard temperature and pressure (STP), one mole of an ideal gas occupies 22.4 liters, which is crucial for converting the volume of nitrogen gas into moles for stoichiometric calculations.
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Ideal Gas Law Formula

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). Knowing the molar mass of lithium allows us to convert the number of moles of lithium required for the reaction into grams, facilitating the calculation of the mass that reacts with a given volume of nitrogen gas.
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Molar Mass Concept
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