The Gibbs energy for the decomposition of Al2O3 at 500∘C is as follows 32Al2O3⟶34Al+O2,ΔrG=+966 kJ mol−1 The potential difference needed for electrolytic reduction of Al2O3 at 500∘C is at least

32Al2O3⟶34Al+O2 Thus, 32×3(O2−) i.e., 2O2−[O2+4e−1 ΔG=+966 kJ mol−1=966×103 J mol−1 ΔG=−nFEcell 966×103=−4×96500×Ecell Ecell =2.5 V

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Electrochemical cell and Gibbs energy of the reaction

The Gibbs energy for the decomposition of {Al}_{2}{O}_{3} at 5

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The Gibbs energy for the decomposition of $Al_{2} O_{3}$ at $50 0^{\circ} C$ is as follows $\frac{2}{3} Al_{2} O_{3} ⟶ \frac{4}{3} Al + O_{2}, Δ_{r} G = + 966 kJ mol^{- 1}$ The potential difference needed for electrolytic reduction of $Al_{2} O_{3}$ at $50 0^{\circ} C$ is at least

4.5 V

3.0 V

2.5 V

5.0 V

Views: 6,331 students

Updated on: Jun 12, 2023

Book:

Arihant Chemistry JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2010

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Elizabeth Discussed

The Gibbs energy for the decomposition of

Al_{2} O_{3}

50 0^{\circ} C

is as follows

\frac{2}{3} Al_{2} O_{3} ⟶ \frac{4}{3} Al + O_{2}, Δ_{r} G = + 966 kJ mol^{- 1}

The potential difference needed for electrolytic reduction of

Al_{2} O_{3}

50 0^{\circ} C

is at least

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

\frac{2}{3} Al_{2} O_{3} ⟶ \frac{4}{3} Al + O_{2}

Thus,

\frac{2}{3} \times 3 (O^{2 -})

i.e., 2 O^{2 -} [O_{2} + 4 e^{- 1}

Δ G = + 966 kJ mol^{- 1} = 966 \times 1 0^{3} J mol^{- 1}

Δ G = - n F E_{cell}

966 \times 1 0^{3} = - 4 \times 96500 \times E_{cell}

E_{cell} = 2.5 V

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Question Text	The Gibbs energy for the decomposition of $Al_{2} O_{3}$ at $50 0^{\circ} C$ is as follows $\frac{2}{3} Al_{2} O_{3} ⟶ \frac{4}{3} Al + O_{2}, Δ_{r} G = + 966 kJ mol^{- 1}$ The potential difference needed for electrolytic reduction of $Al_{2} O_{3}$ at $50 0^{\circ} C$ is at least
Updated On	Jun 12, 2023
Topic	Electrochemistry
Subject	Chemistry
Class	Class 12
Answer Type	Text solution:1 Video solution: 15
Upvotes	1721
Avg. Video Duration	6 min

The Gibbs energy for the decomposition of $Al_{2} O_{3}$ at $50 0^{\circ} C$ is as follows $\frac{2}{3} Al_{2} O_{3} ⟶ \frac{4}{3} Al + O_{2}, Δ_{r} G = + 966 kJ mol^{- 1}$ The potential difference needed for electrolytic reduction of $Al_{2} O_{3}$ at $50 0^{\circ} C$ is at least

Text solutionVerified

Filo tutor solutions (15)

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The Gibbs energy for the decomposition of Al2​O3​ at 500∘C is as follows 32​Al2​O3​⟶34​Al+O2​,Δr​G=+966 kJ mol−1 The potential difference needed for electrolytic reduction of Al2​O3​ at 500∘C is at least

Text solutionVerified

Filo tutor solutions (15)

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The Gibbs energy for the decomposition of $Al_{2} O_{3}$ at $50 0^{\circ} C$ is as follows $\frac{2}{3} Al_{2} O_{3} ⟶ \frac{4}{3} Al + O_{2}, Δ_{r} G = + 966 kJ mol^{- 1}$ The potential difference needed for electrolytic reduction of $Al_{2} O_{3}$ at $50 0^{\circ} C$ is at least