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Ch.4 - Chemical Quantities & Aqueous Reactions
Chapter 4, Problem 28c

Calculate how many moles of NH3 form when each quantity of reactant completely reacts. 3 N2H4(l) → 4 NH3(g) + N2(g) c. 65.3 g N2H4

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Identify the balanced chemical equation: \(3 \text{N}_2\text{H}_4 (l) \rightarrow 4 \text{NH}_3 (g) + \text{N}_2 (g)\).
Calculate the molar mass of \(\text{N}_2\text{H}_4\) by adding the atomic masses of nitrogen and hydrogen: \(2 \times 14.01 + 4 \times 1.01\).
Convert the given mass of \(\text{N}_2\text{H}_4\) to moles using the formula: \(\text{moles} = \frac{\text{mass}}{\text{molar mass}}\).
Use the stoichiometry of the balanced equation to find the moles of \(\text{NH}_3\) produced. According to the equation, 3 moles of \(\text{N}_2\text{H}_4\) produce 4 moles of \(\text{NH}_3\).
Calculate the moles of \(\text{NH}_3\) by multiplying the moles of \(\text{N}_2\text{H}_4\) by the ratio \(\frac{4}{3}\).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between reactants and products in a chemical reaction. It allows us to calculate the amount of product formed or reactant consumed based on balanced chemical equations. In this case, the stoichiometric coefficients from the balanced equation indicate the mole ratio between N2H4 and NH3, which is essential for determining how many moles of NH3 can be produced from a given mass of N2H4.
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Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all atoms in a molecule. To find out how many moles of N2H4 are present in 65.3 g, one must first calculate the molar mass of N2H4, which is crucial for converting grams to moles in stoichiometric calculations.
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Balanced Chemical Equation

A balanced chemical equation represents a chemical reaction with equal numbers of each type of atom on both sides of the equation. It ensures the law of conservation of mass is upheld. In the given reaction, the balanced equation shows that 3 moles of N2H4 produce 4 moles of NH3, providing the necessary ratios to calculate the moles of NH3 formed from the moles of N2H4 used.
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