What would the potential of a standard hydrogen electrode (S.H.E.) be under the given conditions? [H*] = 0.49 M Р, = 4.6 atm Т%3D 298 K %3D E = -0.30

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### Determining the Potential of a Standard Hydrogen Electrode (S.H.E.)

#### Question:
What would the potential of a standard hydrogen electrode (S.H.E.) be under the given conditions?

Given:
- \([H^+]\) = 0.49 M
- \(P_{H_2}\) = 4.6 atm
- \(T\) = 298 K

#### Solution:
\[ E = -0.30 \, \text{V} \]

#### Explanation:
To determine the electrode potential of an S.H.E. under non-standard conditions, you can use the Nernst equation, which relates the potential of an electrochemical cell to the standard electrode potential, temperature, and activities (or concentrations) of the involved species. 

In the provided scenario:
- \([H^+]\) represents the concentration of hydrogen ions.
- \(P_{H_2}\) is the pressure of hydrogen gas.
- \(T\) is the temperature in Kelvin.

Using these values, the potential of the standard hydrogen electrode under these specific conditions can be calculated, resulting in an electrode potential of -0.30 V. This potential may deviate from the standard 0 V for S.H.E. due to the given non-standard conditions.

#### Additional Information:
The standard hydrogen electrode is a reference electrode with a defined potential of 0 V under standard conditions (1 M \(H^+\), 1 atm \(H_2\), and \(T = 298 \, \text{K}\)). When conditions differ from the standard, the potential changes accordingly, as illustrated in this example.

No graphs or diagrams are provided in this case. This problem is typically found in electrochemistry topics within chemistry education.
Transcribed Image Text:### Determining the Potential of a Standard Hydrogen Electrode (S.H.E.) #### Question: What would the potential of a standard hydrogen electrode (S.H.E.) be under the given conditions? Given: - \([H^+]\) = 0.49 M - \(P_{H_2}\) = 4.6 atm - \(T\) = 298 K #### Solution: \[ E = -0.30 \, \text{V} \] #### Explanation: To determine the electrode potential of an S.H.E. under non-standard conditions, you can use the Nernst equation, which relates the potential of an electrochemical cell to the standard electrode potential, temperature, and activities (or concentrations) of the involved species. In the provided scenario: - \([H^+]\) represents the concentration of hydrogen ions. - \(P_{H_2}\) is the pressure of hydrogen gas. - \(T\) is the temperature in Kelvin. Using these values, the potential of the standard hydrogen electrode under these specific conditions can be calculated, resulting in an electrode potential of -0.30 V. This potential may deviate from the standard 0 V for S.H.E. due to the given non-standard conditions. #### Additional Information: The standard hydrogen electrode is a reference electrode with a defined potential of 0 V under standard conditions (1 M \(H^+\), 1 atm \(H_2\), and \(T = 298 \, \text{K}\)). When conditions differ from the standard, the potential changes accordingly, as illustrated in this example. No graphs or diagrams are provided in this case. This problem is typically found in electrochemistry topics within chemistry education.
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