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Ch.17 - Additional Aspects of Aqueous Equilibria
Chapter 17, Problem 119b

Baking soda (sodium bicarbonate, NaHCO3) reacts with acids in foods to form carbonic acid (H2CO3), which in turn decomposes to water and carbon dioxide gas. In a cake batter, the CO2(g) forms bubbles and causes the cake to rise. (b) The density of baking soda is 2.16 g/cm3. Calculate the concentration of lactic acid in one cup of sour milk (assuming the rule of thumb applies), in units of mol/L. (One cup = 236.6 mL = 48 teaspoons).

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Identify the chemical reaction: Sodium bicarbonate (NaHCO3) reacts with lactic acid (C3H6O3) to produce carbonic acid (H2CO3), which decomposes into water (H2O) and carbon dioxide (CO2). The balanced chemical equation is: NaHCO3 + C3H6O3 → NaC3H5O3 + H2CO3.
Determine the molar mass of sodium bicarbonate (NaHCO3) using the periodic table: Na (22.99 g/mol) + H (1.01 g/mol) + C (12.01 g/mol) + 3*O (3*16.00 g/mol) = 84.01 g/mol.
Calculate the mass of baking soda in one teaspoon using its density: Given the density of baking soda is 2.16 g/cm³, and assuming a teaspoon is approximately 5 mL, the mass of baking soda in one teaspoon is 2.16 g/cm³ * 5 cm³ = 10.8 g.
Convert the mass of baking soda to moles: Use the molar mass of NaHCO3 to convert the mass to moles. For example, if you have 10.8 g of NaHCO3, the moles of NaHCO3 = 10.8 g / 84.01 g/mol.
Calculate the concentration of lactic acid in sour milk: Assuming a 1:1 molar ratio between NaHCO3 and lactic acid, the moles of lactic acid will be equal to the moles of NaHCO3. Convert this to molarity by dividing the moles of lactic acid by the volume of sour milk in liters (236.6 mL = 0.2366 L).

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Textbook Question

Baking soda (sodium bicarbonate, NaHCO3) reacts with acids in foods to form carbonic acid (H2CO3), which in turn decomposes to water and carbon dioxide gas. In a cake batter, the CO2(g) forms bubbles and causes the cake to rise. (a) A rule of thumb in baking is that 1/2 teaspoon of baking soda is neutralized by one cup of sour milk. The acid component in sour milk is lactic acid, CH3CH(OH)COOH. Write the chemical equation for this neutralization reaction.

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Textbook Question

Baking soda (sodium bicarbonate, NaHCO3) reacts with acids in foods to form carbonic acid (H2CO3), which in turn decomposes to water and carbon dioxide gas. In a cake batter, the CO2(g) forms bubbles and causes the cake to rise.  (c) If 1/2 teaspoon of baking soda is indeed completely neutralized by the lactic acid in sour milk, calculate the volume of carbon dioxide gas that would be produced at 1 atm pressure, in an oven set to 350 F.

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