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Ch.10 - Gases: Their Properties & Behavior
Chapter 10, Problem 155

During a certain time period, 4.0 million tons of SO2 were released into the atmosphere and subsequently oxidized to SO3. As explained in the Inquiry, the acid rain produced when the SO3 dissolves in water can damage marble statues: CaCO31s2 + H2SO41aq2S CaSO41aq2 + CO21g2 + H2O1l2 (b) How many liters of CO2 gas at 20 °C and 735 mm Hg is produced as a byproduct?.

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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 the balanced chemical equation. It allows us to determine the quantities of substances consumed and produced in a reaction. In this case, understanding the stoichiometric relationships between sulfur dioxide (SO2), sulfur trioxide (SO3), and carbon dioxide (CO2) is essential to calculate the amount of CO2 produced from the reaction involving calcium carbonate (CaCO3) and sulfuric acid (H2SO4).
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Gas Laws

Gas laws describe the behavior of gases in relation to pressure, volume, temperature, and the number of moles. The Ideal Gas Law (PV=nRT) is particularly useful for calculating the volume of gas produced under specific conditions. In this question, we need to apply the gas laws to determine the volume of CO2 produced at a given temperature (20 °C) and pressure (735 mm Hg), which requires converting these conditions into appropriate units.
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Acid-Base Reactions

Acid-base reactions involve the transfer of protons (H+) between reactants, leading to the formation of water and a salt. In the context of the provided reaction, sulfuric acid (H2SO4) acts as an acid that reacts with calcium carbonate (CaCO3), resulting in the production of carbon dioxide (CO2), water (H2O), and calcium sulfate (CaSO4). Understanding this reaction is crucial for determining the byproducts and their quantities.
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