Calculate how many moles of NH3 form when each quantity of reactant completely reacts. 3 N2H4(l) → 4 NH3(g) + N2(g), given the following reactant quantities: a. 2.6 mol N2H4, b. 3.55 mol N2H4, c. 4.88 kg N2H4.

Verified step by step guidance

1. Identify the balanced chemical equation: 3 \text{ N}_2\text{H}_4(l) \rightarrow 4 \text{ NH}_3(g) + \text{ N}_2(g)
2. Determine the mole ratio between \text{N}_2\text{H}_4 and \text{NH}_3 from the balanced equation, which is 3:4.
3. For part a, use the mole ratio to calculate moles of \text{NH}_3: \text{moles of NH}_3 = \frac{4}{3} \times 2.6 \text{ mol N}_2\text{H}_4.
4. For part b, use the mole ratio to calculate moles of \text{NH}_3: \text{moles of NH}_3 = \frac{4}{3} \times 3.55 \text{ mol N}_2\text{H}_4.
5. For part c, first convert 4.88 kg \text{N}_2\text{H}_4 to moles using its molar mass, then use the mole ratio to find moles of \text{NH}_3: \text{moles of NH}_3 = \frac{4}{3} \times \text{moles of N}_2\text{H}_4.

Key Concepts

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 (3 N2H4 → 4 NH3 + N2) indicate that 3 moles of hydrazine (N2H4) produce 4 moles of ammonia (NH3).

Mole Concept

The mole concept is a fundamental principle in chemistry that defines the amount of substance. One mole corresponds to 6.022 x 10^23 entities (atoms, molecules, etc.). This concept is crucial for converting between grams and moles, as well as for understanding the quantities of reactants and products in a reaction. For example, knowing the molar mass of N2H4 allows us to convert the mass of the reactant into moles for stoichiometric calculations.

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, meaning that matter is neither created nor destroyed in a reaction. In the given reaction, the coefficients (3 for N2H4 and 4 for NH3) indicate the molar ratios needed to calculate how many moles of NH3 can be produced from a given amount of N2H4.