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The reaction $$ \mathrm{SO}_{3}(g)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow \mathrm{H}_{2} \mathrm{SO}_{4}(a q) $$ is the last step in the commercial production of sulfuric acid. The enthalpy change for this reaction is \(-227 \mathrm{kJ} .\) In designing a sulfuric acid plant, is it necessary to provide for heating or cooling of the reaction mixture? Explain.

Short Answer

Expert verified
In designing a sulfuric acid plant, there is no specific need to provide heating or cooling for the reaction mixture, as the reaction is exothermic, releasing heat to the surroundings and providing the necessary heat for the entire process. However, it is essential to consider safety guidelines and regulations to ensure that the generated heat doesn't pose any risks to equipment or personnel.

Step by step solution

01

Determine the temperature requirement of the reaction

The given reaction is the last step in the commercial production of sulfuric acid. We are not given any specific temperature requirement for the reaction to proceed. However, we will analyze the reaction based on the enthalpy change provided.
02

Analyze the enthalpy change value

The enthalpy change for the given reaction is -227 kJ. This negative value indicates that the reaction releases energy in the form of heat to the surroundings, and this type of reaction is considered exothermic.
03

Determine the necessity of heating or cooling

Because the reaction releases heat to the surroundings, and we are not given any particular temperature requirements for the reaction, we can assume that it doesn't require any additional source of heat or external cooling system unless there's a safety issue related to high operating temperatures. The reaction itself should provide the necessary heat for the entire process. Hence, there is no need to provide for specific heating or cooling of the reaction mixture in the sulfuric acid plant, but it is important to consider safety guidelines and regulations to ensure that the generated heat doesn't pose any risks to equipment or personnel.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Enthalpy
In chemical reactions, enthalpy is a measure of the total heat content in a system. It reflects the internal energy plus the capacity for a substance to do work through expansion. When observing enthalpy changes, scientists look at whether the system releases or absorbs energy during a reaction.
When the enthalpy change (\( \Delta H \) ) is negative, it means the reaction releases energy, which is typically in the form of heat. This is because the products of the reaction have less energy compared to the reactants.
In the case of the sulfuric acid production reaction (\( \mathrm{SO}_{3}(g)+\mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{H}_{2}\mathrm{SO}_{4}(aq) \)), the enthalpy change is \(-227 \text{kJ}\). This indicates a significant release of energy during the reaction process. Understanding these changes helps in predicting the heat dynamics within chemical processes.
Exothermic Reaction
Exothermic reactions are characterized by the release of heat into the surroundings. This is because the energy required to initiate the reaction is less than the energy released by forming the product bonds.
In the scenario of producing sulfuric acid, the reaction of sulfur trioxide with water is highly exothermic, as evidenced by its negative enthalpy change of \(-227 \text{kJ}\).
For understanding exothermic reactions, consider the following:
  • The energy is often in the form of heat, hence, increasing the temperature of the surroundings.
  • The enthalpy change (\( \Delta H \) ) is negative, making them spontaneous in many cases.
  • They are common in combustion processes and practical applications like heat packs and industrial chemical reactions.
Certain precautions are vital in industrial settings to safely harness the energy released from these reactions, such as controlling reaction rates and cooling systems to prevent overheating.
Sulfuric Acid Production
Sulfuric acid is one of the most widely produced chemicals globally, essential for various industrial applications. The production process typically involves several chemical reactions, with the final step being the formation of sulfuric acid from sulfur trioxide and water.
This final step is especially crucial because it is highly exothermic, releasing a large amount of energy, which must be managed carefully in an industrial setting to ensure safety.
In a sulfuric acid plant:
  • The reaction between \( \mathrm{SO}_{3} \) and \( \mathrm{H}_{2} \mathrm{O} \) does not need external heating since it releases ample heat by itself.
  • Safety protocols are crucial to handle the exothermic reaction safely, preventing equipment damage or safety hazards.
  • Cooling systems might be implemented, not necessarily to support the reaction, but to keep the operational environment within safe temperatures.
The efficient production of sulfuric acid depends on effectively managing this exothermic process, balancing economic efficiency with rigorous safety standards.

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Most popular questions from this chapter

Explain why \(\Delta H\) is obtained directly from coffee-cup calorimeters, whereas \(\Delta E\) is obtained directly from bomb calorimeters.

A sample of nickel is heated to \(99.8^{\circ} \mathrm{C}\) and placed in a coffeecup calorimeter containing 150.0 \(\mathrm{g}\) water at \(23.5^{\circ} \mathrm{C}\) . After the metal cools, the final temperature of metal and water mixture is \(25.0^{\circ} \mathrm{C}\) . If the specific heat capacity of nickel is 0.444 \(\mathrm{J} /^{\prime} \mathrm{C} \cdot \mathrm{g}\) what mass of nickel was originally heated? Assume no heat loss to the surroundings.

The enthalpy of combustion of \(\mathrm{CH}_{4}(g)\) when \(\mathrm{H}_{2} \mathrm{O}(l)\) is formed is \(-891 \mathrm{kJ} / \mathrm{mol}\) and the enthalpy of combustion of \(\mathrm{CH}_{4}(g)\) when \(\mathrm{H}_{2} \mathrm{O}(g)\) is formed is \(-803 \mathrm{kJ} / \mathrm{mol}\) . Use these data and Hess's law to determine the enthalpy of vaporization for water.

Consider 5.5 \(\mathrm{L}\) of a gas at a pressure of 3.0 \(\mathrm{atm}\) in a cylinder with a movable piston. The external pressure is changed so that the volume changes to 10.5 \(\mathrm{L}\) . a. Calculate the work done, and indicate the correct sign. b. Use the preceding data but consider the process to occur in two steps. At the end of the first step, the volume is 7.0 \(\mathrm{L}\) . The second step results in a final volume of 10.5 \(\mathrm{L}\) . Calculate the work done, and indicate the correct sign. c. Calculate the work done if after the first step the volume is 8.0 \(\mathrm{L}\) and the second step leads to a volume of 10.5 \(\mathrm{L}\) . Does the work differ from that in part b? Explain.

Consider the following reaction: $$\mathrm{CH}_{4}(g)+2 \mathrm{O}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(l)$$ $$ \Delta H=-891 \mathrm{kJ} $$ Calculate the enthalpy change for each of the following cases: a. 1.00 g methane is burned in excess oxygen. b. \(1.00 \times 10^{3}\) L methane gas at 740 . torr and \(25^{\circ} \mathrm{C}\) are burned in excess oxygen.

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