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Consider the following half-cell reactio...

Consider the following half-cell reaction and associated standerd half-cell potentials and determine the maximum voltage thatr can be obtained by combination resulting in spontenous process :
`AuBr_(4)^(-)(aq)+3e^(-)toAu(s)+4BR^(-)(aq), E^(@)=-086V`
`Eu^(3+)(aq)+e^(-)toEu^(2+)(aq), E^(@)=-043V`
`Sn^(2+)(aq)+2e^(-)toSn(s), E^(@)=-0.14V`
`IO^(-)(aq)+H_(2)O(l)+2e^(-)toI^(-)(aq)+2OH^(-), E^(@)=+0.49V`

A

`+0.72`

B

`+1.54`

C

`+1.00`

D

`+1.35`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the maximum voltage that can be obtained from the given half-cell reactions, we need to follow these steps: ### Step-by-Step Solution: 1. **Identify the Half-Cell Reactions and Their Standard Potentials:** - AuBr₄⁻(aq) + 3e⁻ → Au(s) + 4Br⁻(aq), E° = -0.86 V - Eu³⁺(aq) + e⁻ → Eu²⁺(aq), E° = -0.43 V - Sn²⁺(aq) + 2e⁻ → Sn(s), E° = -0.14 V - IO⁻(aq) + H₂O(l) + 2e⁻ → I⁻(aq) + 2OH⁻, E° = +0.49 V 2. **Determine the Most Reducing and Oxidizing Agents:** - The half-cell with the most negative standard reduction potential will act as the reducing agent (it will be oxidized). - The half-cell with the most positive standard reduction potential will act as the oxidizing agent (it will be reduced). 3. **Identify the Reducing Agent:** - Among the given potentials, AuBr₄⁻ has the most negative potential (-0.86 V). Thus, it will be oxidized: - Au(s) + 4Br⁻(aq) → AuBr₄⁻(aq) + 3e⁻ (oxidation reaction) 4. **Identify the Oxidizing Agent:** - IO⁻ has the highest potential (+0.49 V). Thus, it will be reduced: - IO⁻(aq) + H₂O(l) + 2e⁻ → I⁻(aq) + 2OH⁻ (reduction reaction) 5. **Calculate the Standard Cell Potential (E°cell):** - The standard cell potential is calculated by adding the oxidation potential of the reducing agent and the reduction potential of the oxidizing agent. - Oxidation potential of AuBr₄⁻: E° = +0.86 V (reverse of the given reduction potential) - Reduction potential of IO⁻: E° = +0.49 V - E°cell = E°(oxidation) + E°(reduction) = 0.86 V + 0.49 V = 1.35 V 6. **Conclusion:** - The maximum voltage that can be obtained from the combination of these half-cells resulting in a spontaneous process is **1.35 V**. ### Final Answer: The maximum voltage that can be obtained is **1.35 V**.
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