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Ch.3 - Chemical Reactions and Reaction Stoichiometry
Chapter 3, Problem 80d

One of the steps in the commercial process for converting ammonia to nitric acid is the conversion of NH3 to NO: 4 NH3(g) + 5 O2(g) → 4 NO(g) + 6 H2O(g) In a certain experiment, 2.00 g of NH3 reacts with 2.50 g of O2. (d) Show that your calculations in parts (b) and (c) are consistent with the law of conservation of mass.

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Calculate the molar mass of NH<sub>3</sub> (ammonia) and O<sub>2</sub> (oxygen) to convert the given masses from grams to moles. The molar mass of NH<sub>3</sub> is approximately 17.03 g/mol and for O<sub>2</sub> it is approximately 32.00 g/mol.
Using the stoichiometry of the balanced chemical equation, determine the theoretical amount of O<sub>2</sub> required to completely react with the given amount of NH<sub>3</sub>. Use the mole ratio from the balanced equation, which is 5 moles of O<sub>2</sub> for every 4 moles of NH<sub>3</sub>.
Compare the actual amount of O<sub>2</sub> provided (2.50 g converted to moles) to the theoretical amount needed. Determine which reactant is the limiting reactant, which is the reactant that will be completely consumed and thus limits the extent of the reaction.
Calculate the total mass of the products formed by the reaction using the stoichiometry of the balanced equation and the amount of the limiting reactant. Convert moles of products back to grams using their respective molar masses.
Verify the law of conservation of mass by comparing the total mass of the reactants to the total mass of the products. The sum of the masses of the reactants should equal the sum of the masses of the products.

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Key Concepts

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

Law of Conservation of Mass

The Law of Conservation of Mass states that mass is neither created nor destroyed in a chemical reaction. This principle implies that the total mass of the reactants must equal the total mass of the products. In the context of the given reaction, verifying this law involves ensuring that the sum of the masses of ammonia and oxygen before the reaction equals the sum of the masses of nitrogen monoxide and water produced.
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Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions based on balanced chemical equations. It allows chemists to determine the proportions of substances involved in a reaction. In this case, stoichiometry will help in calculating the theoretical yield of products from the given amounts of ammonia and oxygen, which is essential for demonstrating the conservation of mass.
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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 crucial for converting between the mass of a substance and the number of moles, which is necessary for stoichiometric calculations. In this problem, calculating the molar masses of NH3 and O2 will enable the determination of how many moles are reacting, facilitating the verification of the conservation of mass.
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Related Practice
Textbook Question

The fizz produced when an Alka-Seltzer tablet is dissolved in water is due to the reaction between sodium bicarbonate 1NaHCO32 and citric acid 1H3C6H5O72: 3 NaHCO31aq2 + H3C6H5O71aq2¡ 3 CO21g2 + 3H2O1l2 + Na3C6H5O71aq2 In a certain experiment 1.00 g of sodium bicarbonate and 1.00 g of citric acid are allowed to react. (a) Which is the limiting reactant? (b) How many grams of carbon dioxide form? (c) How many grams of the excess reactant remain after the limiting reactant is completely consumed?

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Textbook Question

One of the steps in the commercial process for converting ammonia to nitric acid is the conversion of NH3 to NO: 4 NH31g2 + 5 O21g2¡4 NO1g2 + 6 H2O1g2 In a certain experiment, 2.00 g of NH3 reacts with 2.50 g of O2. (a) Which is the limiting reactant?

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Textbook Question

One of the steps in the commercial process for converting ammonia to nitric acid is the conversion of NH3 to NO: 4 NH31g2 + 5 O21g2¡4 NO1g2 + 6 H2O1g2 In a certain experiment, 2.00 g of NH3 reacts with 2.50 g of O2. (c) How many grams of the excess reactant remain after the limiting reactant is completely consumed?

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Textbook Question

Solutions of sodium carbonate and silver nitrate react to form solid silver carbonate and a solution of sodium nitrate. A solution containing 3.50 g of sodium carbonate is mixed with one containing 5.00 g of silver nitrate. How many grams of sodium carbonate are present after the reaction is complete? How many grams of sodium nitrate are present after the reaction is complete?

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Textbook Question

Solutions of sodium carbonate and silver nitrate react to form solid silver carbonate and a solution of sodium nitrate. A solution containing 3.50 g of sodium carbonate is mixed with one containing 5.00 g of silver nitrate. How many grams of silver carbonate are present after the reaction is complete?

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Textbook Question

Solutions of sulfuric acid and lead(II) acetate react to form solid lead(II) sulfate and a solution of acetic acid. If 5.00 g of sulfuric acid and 5.00 g of lead(II) acetate are mixed, calculate the number of grams of sulfuric acid and grams of acetic acid present in the mixture after the reaction is complete.

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