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Ch.4 - Reactions in Aqueous Solution
Chapter 4, Problem 83

Some sulfuric acid is spilled on a lab bench. You can neutralize the acid by sprinkling sodium bicarbonate on it and then mopping up the resulting solution. The sodium bicarbonate reacts with sulfuric acid according to: 2 NaHCO3(s) + H2SO4(aq) → Na2SO4(aq) + 2 H2O(l) + 2 CO2(g). Sodium bicarbonate is added until the fizzing due to the formation of CO2(g) stops. If 27 mL of 6.0 M H2SO4 was spilled, what is the minimum mass of NaHCO3 that must be added to the spill to neutralize the acid?

Verified step by step guidance
1
Calculate the moles of H2SO4 spilled using the formula: moles = molarity × volume. Convert the volume from mL to L before using it in the calculation.
Use the balanced chemical equation to determine the stoichiometric ratio between H2SO4 and NaHCO3. According to the equation, 1 mole of H2SO4 reacts with 2 moles of NaHCO3.
Calculate the moles of NaHCO3 required by multiplying the moles of H2SO4 by the stoichiometric ratio (2 moles of NaHCO3 per mole of H2SO4).
Determine the mass of NaHCO3 needed using the formula: mass = moles × molar mass. Look up the molar mass of NaHCO3 (sodium bicarbonate) from the periodic table.
Ensure all units are consistent and check calculations for accuracy. The result will give you the minimum mass of NaHCO3 required to neutralize the spilled H2SO4.

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 the balanced chemical equation. It allows us to determine the proportions of substances involved in a reaction. In this case, the stoichiometric coefficients from the balanced equation indicate that two moles of sodium bicarbonate are required to neutralize one mole of sulfuric acid.
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Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is crucial for calculating how much of a substance is needed to react with another. In this scenario, the molarity of sulfuric acid (6.0 M) helps us find the number of moles present in the spilled solution, which is essential for determining the amount of sodium bicarbonate required for neutralization.
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Gas Evolution Reaction

A gas evolution reaction occurs when a gas is produced as a product of a chemical reaction. In this case, the reaction between sodium bicarbonate and sulfuric acid produces carbon dioxide gas (CO2), which is observed as fizzing. Understanding this concept is important for recognizing the completion of the reaction and ensuring that enough sodium bicarbonate has been added to fully neutralize the acid.
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Related Practice
Textbook Question

(a) How many milliliters of 0.120 M HCl are needed to completely neutralize 50.0 mL of 0.101 M Ba(OH)2 solution?

Textbook Question

(b) How many milliliters of 0.125 M H2SO4 are needed to neutralize 0.200 g of NaOH?

Textbook Question

(c) If 55.8 mL of a BaCl2 solution is needed to precipitate all the sulfate ion in a 752-mg sample of Na2SO4, what is the molarity of the BaCl2 solution?

Textbook Question

The distinctive odor of vinegar is due to acetic acid, CH3COOH, which reacts with sodium hydroxide according to: CH3COOH1aq2 + NaOH1aq2¡ H2O1l2 + NaCH3COO1aq2 If 3.45 mL of vinegar needs 42.5 mL of 0.115 M NaOH to reach the equivalence point in a titration, how many grams of acetic acid are in a 1.00-qt sample of this vinegar?

Textbook Question

A 4.36-g sample of an unknown alkali metal hydroxide is dissolved in 100.0 mL of water. An acid–base indicator is added, and the resulting solution is titrated with 2.50 M HCl(aq) solution. The indicator changes color, signaling that the equivalence point has been reached, after 17.0 mL of the hydrochloric acid solution has been added. (a) What is the molar mass of the metal hydroxide?

Textbook Question

A 4.36-g sample of an unknown alkali metal hydroxide is dissolved in 100.0 mL of water. An acid–base indicator is added, and the resulting solution is titrated with 2.50 M HCl(aq) solution. The indicator changes color, signaling that the equivalence point has been reached, after 17.0 mL of the hydrochloric acid solution has been added. (b) What is the identity of the alkali metal cation: Li+, Na+, K+, Rb+, or Cs+?