Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Question
**Title: Understanding Free Energy Changes in Chemical Reactions** **Description:** Consider the diagram below for free energy (G) versus the fraction of A reacted in terms of moles for the reaction \( A(g) \rightarrow B(g) \). Before any A has reacted, \( P_A = 3.0 \) atm and \( P_B = 0 \). What is the value of \( K_p \) and the sign of \( \Delta G^\circ \) for this reaction? **Graph Explanation:** - **Y-Axis (Vertical):** Represents the free energy (G). - **X-Axis (Horizontal):** Represents the fraction of substance A that has reacted. - **Curve Shape:** The curve initially decreases, reaching a minimum around a fraction of 0.33 reacted, and then rises steadily beyond this point up to a fraction of 1.00 reacted. **Options:** - A. \( K_p = 0.5 \) and \( \Delta G^\circ < 0 \) - B. \( K_p = 1/9 \) and \( \Delta G^\circ < 0 \) - C. \( K_p = 1 \) and \( \Delta G^\circ < 0 \) - D. \( K_p = 1/9 \) and \( \Delta G^\circ > 0 \) - E. \( K_p = 0.5 \) and \( \Delta G^\circ > 0 \) **Instruction:** Analyze the given information and the behavior of the free energy curve to determine the correct option regarding the equilibrium constant \( K_p \) and the standard change in free energy \( \Delta G^\circ \).
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Transcribed Image Text:**Title: Understanding Free Energy Changes in Chemical Reactions** **Description:** Consider the diagram below for free energy (G) versus the fraction of A reacted in terms of moles for the reaction \( A(g) \rightarrow B(g) \). Before any A has reacted, \( P_A = 3.0 \) atm and \( P_B = 0 \). What is the value of \( K_p \) and the sign of \( \Delta G^\circ \) for this reaction? **Graph Explanation:** - **Y-Axis (Vertical):** Represents the free energy (G). - **X-Axis (Horizontal):** Represents the fraction of substance A that has reacted. - **Curve Shape:** The curve initially decreases, reaching a minimum around a fraction of 0.33 reacted, and then rises steadily beyond this point up to a fraction of 1.00 reacted. **Options:** - A. \( K_p = 0.5 \) and \( \Delta G^\circ < 0 \) - B. \( K_p = 1/9 \) and \( \Delta G^\circ < 0 \) - C. \( K_p = 1 \) and \( \Delta G^\circ < 0 \) - D. \( K_p = 1/9 \) and \( \Delta G^\circ > 0 \) - E. \( K_p = 0.5 \) and \( \Delta G^\circ > 0 \) **Instruction:** Analyze the given information and the behavior of the free energy curve to determine the correct option regarding the equilibrium constant \( K_p \) and the standard change in free energy \( \Delta G^\circ \).
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