Calculate the standard potential, E", for this reaction from its equilibrium constant at 298 K. X(s) + Y²+(aq) = X²+(aq)+Y(s) K = 1.67 × 10 %3D E = %3D

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Chapter1: Chemical Foundations
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**Calculate the Standard Potential**

Calculate the standard potential, \( E^* \), for this reaction from its equilibrium constant at 298 K.

\[ \text{X}(s) + \text{Y}^{2+}(aq) \rightleftharpoons \text{X}^{2+}(aq) + \text{Y}(s) \]

\[ K = 1.67 \times 10^5 \]

\[ E^* = \square \, \text{V} \]

**Instructions:**

To calculate the standard potential \( E^* \), use the Nernst equation and the relationship between the equilibrium constant \( K \) and the standard potential for the reaction at a given temperature. 

\[ E^* = \frac{RT}{nF} \ln K \]

Where:
- \( R \) is the universal gas constant (\(8.314 \, \text{J/mol K}\))
- \( T \) is the temperature in Kelvin (\(298 \, \text{K}\))
- \( n \) is the number of moles of electrons transferred in the balanced equation
- \( F \) is the Faraday constant (\(96485 \, \text{C/mol}\))
- \( K \) is the equilibrium constant

**Graph/Diagram Explanation:**

There are no graphs or diagrams present. This is a text-based calculation problem.
Transcribed Image Text:**Calculate the Standard Potential** Calculate the standard potential, \( E^* \), for this reaction from its equilibrium constant at 298 K. \[ \text{X}(s) + \text{Y}^{2+}(aq) \rightleftharpoons \text{X}^{2+}(aq) + \text{Y}(s) \] \[ K = 1.67 \times 10^5 \] \[ E^* = \square \, \text{V} \] **Instructions:** To calculate the standard potential \( E^* \), use the Nernst equation and the relationship between the equilibrium constant \( K \) and the standard potential for the reaction at a given temperature. \[ E^* = \frac{RT}{nF} \ln K \] Where: - \( R \) is the universal gas constant (\(8.314 \, \text{J/mol K}\)) - \( T \) is the temperature in Kelvin (\(298 \, \text{K}\)) - \( n \) is the number of moles of electrons transferred in the balanced equation - \( F \) is the Faraday constant (\(96485 \, \text{C/mol}\)) - \( K \) is the equilibrium constant **Graph/Diagram Explanation:** There are no graphs or diagrams present. This is a text-based calculation problem.
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