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Ch.3 - Chemical Reactions and Reaction Stoichiometry
Chapter 3, Problem 61

Hydrofluoric acid, HF(aq), cannot be stored in glass bottles because compounds called silicates in the glass are attacked by the HF(aq). Sodium silicate (Na2SiO3), for example, reacts as follows: Na2SiO3(s) + 8 HF(aq) → H2SiF6(aq) + 2 NaF(aq) + 3 H2O(l) (a) How many moles of HF are needed to react with 0.300 mol of Na2SiO3? (b) How many grams of NaF form when 0.500 mol of HF reacts with excess Na2SiO3? (c) How many grams of Na2SiO3 can react with 0.800 g of HF?

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1
Identify the balanced chemical equation: \( \text{Na}_2\text{SiO}_3(s) + 8 \text{HF}(aq) \rightarrow \text{H}_2\text{SiF}_6(aq) + 2 \text{NaF}(aq) + 3 \text{H}_2\text{O}(l) \).
Determine the molar ratio between HF and NaF from the balanced equation. The ratio is 8 moles of HF to 2 moles of NaF.
Calculate the moles of NaF produced from 0.500 moles of HF using the molar ratio: \( \frac{2 \text{ moles NaF}}{8 \text{ moles HF}} \times 0.500 \text{ moles HF} \).
Convert the moles of NaF to grams using the molar mass of NaF. The molar mass of NaF is approximately 41.99 g/mol.
Multiply the moles of NaF by its molar mass to find the mass in grams: \( \text{moles of NaF} \times 41.99 \text{ g/mol} \).

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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 calculation of reactants and products in chemical reactions based on balanced equations. It allows chemists to determine the amount of substances consumed and produced in a reaction. In this case, understanding the stoichiometric coefficients from the balanced equation is essential to find out how many grams of NaF are produced from a given amount of HF.
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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 moles and grams in stoichiometric calculations. For NaF, knowing its molar mass allows us to calculate the mass of NaF produced from the moles derived from the reaction with HF.
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Limiting Reactant

The limiting reactant is the substance that is completely consumed first in a chemical reaction, thus determining the maximum amount of product formed. In this scenario, since HF is provided in a specific amount and Na2SiO3 is in excess, HF will limit the formation of NaF. Identifying the limiting reactant is key to accurately calculating the yield of NaF.
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Related Practice
Textbook Question

Propenoic acid, C3H4O2, is a reactive organic liquid that is used in the manufacturing of plastics, coatings, and adhesives. An unlabeled container is thought to contain this liquid. A 0.275-g sample of the liquid is combusted to produce 0.102 g of water and 0.374 g carbon dioxide. Is the unknown liquid propenoic acid? Support your reasoning with calculations.

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Textbook Question

Washing soda, a compound used to prepare hard water for washing laundry, is a hydrate, which means that a certain number of water molecules are included in the solid structure. Its formula can be written as Na2CO3 # xH2O, where x is the number of moles of H2O per mole of Na2CO3. When a 2.558-g sample of washing soda is heated at 125 C, all the water of hydration is lost, leaving 0.948 g of Na2CO3. What is the value of x?

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Textbook Question

Epsom salts, a strong laxative used in veterinary medicine, is a hydrate, which means that a certain number of water molecules are included in the solid structure. The formula for Epsom salts can be written as MgSO4 # xH2O, where x indicates the number of moles of H2O per mole of MgSO4. When 5.061 g of this hydrate is heated to 250 C, all the water of hydration is lost, leaving 2.472 g of MgSO4. What is the value of x?

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Textbook Question

The reaction between potassium superoxide, KO2, and CO2, 4 KO2 + 2 CO2¡2K2CO3 + 3 O2 is used as a source of O2 and absorber of CO2 in selfcontained breathing equipment used by rescue workers. (a) How many moles of O2 are produced when 0.400 mol of KO2 reacts in this fashion?

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Textbook Question

The reaction between potassium superoxide, KO2, and CO2, 4 KO2 + 2 CO2¡2K2CO3 + 3 O2 is used as a source of O2 and absorber of CO2 in selfcontained breathing equipment used by rescue workers. (b) How many grams of KO2 are needed to form 7.50 g of O2?

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Textbook Question

Several brands of antacids use Al1OH23 to react with stomach acid, which contains primarily HCl: Al(OH)3(s) + HCl(aq) → AlCl3(aq) + H2O(l) (b) Calculate the number of grams of HCl that can react with 0.500 g of Al(OH)3. (c) Calculate the number of grams of AlCl3 and the number of grams of H2O formed when 0.500 g of Al(OH)3 reacts.

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