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In the Nernst equation, we substitute ...

In the Nernst equation, we substitute
`(2.303RT)/F=0.0591`
where,

A

R = 8.314 J, T = 273 K and F = 96500 C

B

R = 0.0821 L. atm, T = 298 K and F = 96500 C

C

R = 8.314 J, T = 298 K and F = 96500 C

D

R = 2.0 cal, T = 298 K and F = 1 C

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The correct Answer is:
To solve the question regarding the Nernst equation and the substitution of \( \frac{2.303RT}{F} = 0.0591 \), we need to identify the units of \( R \), \( F \), and \( T \). ### Step-by-Step Solution: 1. **Identify the Constants**: - \( R \) is the universal gas constant. - \( F \) is Faraday's constant. - \( T \) is the temperature in Kelvin. 2. **Units of Faraday's Constant (F)**: - Faraday's constant \( F \) is defined as the charge per mole of electrons. - The unit of \( F \) is Coulombs per mole (C/mol). - The value of \( F \) is approximately \( 96500 \, C/mol \). 3. **Units of Temperature (T)**: - The temperature \( T \) is measured in Kelvin (K). - For this equation, we typically use standard room temperature, which is \( 298 \, K \). 4. **Units of the Gas Constant (R)**: - The universal gas constant \( R \) can be expressed in multiple units. However, for this context, we will use the value in Joules per mole per Kelvin (J/(mol·K)). - The value of \( R \) is approximately \( 8.314 \, J/(mol·K) \). 5. **Substituting Values into the Nernst Equation**: - The Nernst equation involves the term \( \frac{2.303RT}{F} \). - When substituting the values into the equation: - \( R = 8.314 \, J/(mol·K) \) - \( T = 298 \, K \) - \( F = 96500 \, C/mol \) 6. **Calculating \( \frac{2.303RT}{F} \)**: - Substitute the values into the equation: \[ \frac{2.303 \times 8.314 \times 298}{96500} \] - Performing the calculation gives approximately \( 0.0591 \). ### Conclusion: Thus, we confirm that \( \frac{2.303RT}{F} = 0.0591 \) holds true with the specified units for \( R \), \( F \), and \( T \).
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