Respuesta :
Answer:
[tex]\boxed{-6.29 \times10^{5}\text{ J}}[/tex]
Explanation:
Step 1. Determine the cell potential
E°/V
2×[Cr ⟶ Cr³⁺ + 3e⁻] 0.744 V
3×[Cu²⁺ + 2e⁻ ⟶ Cu] 0.3419 V
2Cr + 3Cu²⁺ ⟶ 3Cu + 2Cr³⁺ 1.086 V
Step 2. Calculate ΔG°
[tex]\Delta G^{\circ} = -nFE_{\text{cell}}^{^{\circ}} = -6 \times 96 485 \times 1.086 = \text{-629 000 J}\\\\= \boxed{-6.29 \times10^{5}\text{ J}}[/tex]
The value of change in free energy of the given cell reaction is -6.2×10⁵J.
How do we calculate the ΔG for the cell?
Change in free energy for a cell will be calculated by using the below equation as:
ΔG° = -nFE°, where
- n = number of electrons
- F = faradays constant = 96485
- E° = electrode potential = 1.08 J/C
2×[Cr ⟶ Cr³⁺ + 3e⁻]
3×[Cu²⁺ + 2e⁻ ⟶ Cu]
Overall reaction will be
2Cr + 3Cu²⁺ ⟶ 3Cu + 2Cr³⁺
So number of electrons involved are 6.
On putting all these values on the above equation, we get
ΔG° = -(6)(96485)(1.08) = -625,222.8J = -6.2×10⁵J
Hence required value of ΔG° for the cell is -6.2×10⁵J.
To now more about electrode potential, visit the below link:
https://brainly.com/question/8655719
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