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Junyoung and Enkhtur are experimenting with an ideal gas. in their experime 579-g quantity of the gas undergoes a reversible isothermal compression at a temperature of 326 K. The compression reduces the volume of the gas to one fifth the original volume. The molecular mass of the gas is 37 g/mol and the id gas constant is R = 8.314 J/(mol-K). What is the magnitude of the entropy decrease for the gas? Keep 3 significant figures please and no decimals.

Junyoung and Enkhtur are experimenting with an ideal gas. in their experime 579-g quantity of the gas undergoes a reversible isothermal compression at a temperature of 326 K. The compression reduces the volume of the gas to one fifth the original volume. The molecular mass of the gas is 37 g/mol and the id gas constant is R = 8.314 J/(mol-K). What is the magnitude of the entropy decrease for the gas? Keep 3 significant figures please and no decimals.

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**Title: Entropy Change in Isothermal Compression of an Ideal Gas** **Objective:** Understanding the magnitude of the entropy decrease for a gas undergoing reversible isothermal compression. **Experiment Overview:** Junyoung and Enkhtur are examining an ideal gas. During their experiment: - A 579-g quantity of the gas is subjected to reversible isothermal compression. - The process occurs at a temperature of 326 K. - The volume of the gas is reduced to one fifth of its initial volume. **Given Data:** - Molecular mass of the gas: 37 g/mol - Ideal gas constant (R): 8.314 J/(mol·K) **Problem Statement:** Calculate the magnitude of the entropy decrease for the gas, ensuring to keep three significant figures and no decimals. Expressing in a detailed manner, this question explores the thermodynamic behavior during a reversible isothermal compression process. To solve for the entropy decrease (\(\Delta S\)) of the gas, use the thermodynamic relation for isothermal processes and the properties of the ideal gas involved. No diagrams or graphs were provided in this case. The data purely consists of textual information and numerical values that facilitate calculations in theoretical physics and chemistry scenarios.
Transcribed Image Text:**Title: Entropy Change in Isothermal Compression of an Ideal Gas** **Objective:** Understanding the magnitude of the entropy decrease for a gas undergoing reversible isothermal compression. **Experiment Overview:** Junyoung and Enkhtur are examining an ideal gas. During their experiment: - A 579-g quantity of the gas is subjected to reversible isothermal compression. - The process occurs at a temperature of 326 K. - The volume of the gas is reduced to one fifth of its initial volume. **Given Data:** - Molecular mass of the gas: 37 g/mol - Ideal gas constant (R): 8.314 J/(mol·K) **Problem Statement:** Calculate the magnitude of the entropy decrease for the gas, ensuring to keep three significant figures and no decimals. Expressing in a detailed manner, this question explores the thermodynamic behavior during a reversible isothermal compression process. To solve for the entropy decrease (\(\Delta S\)) of the gas, use the thermodynamic relation for isothermal processes and the properties of the ideal gas involved. No diagrams or graphs were provided in this case. The data purely consists of textual information and numerical values that facilitate calculations in theoretical physics and chemistry scenarios.
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