The Gibbs energy for the decomposition Al2O3 at 500 °C is as follows. 23Al2O3→43Al+O2; ΔrG=966 kJ mol−1 The potential difference needed to carry out the above reaction electrolytically at 500 °C is at least

# The Gibbs energy for the decomposition ${\mathrm{Al}}_{2}{\mathrm{O}}_{3}$ at 500 °C is as follows.  The potential difference needed to carry out the above reaction electrolytically at 500 °C is at least

1. A

2. B

3. C

4. D

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

The basic reaction area: $\frac{2}{3}\left(2{\mathrm{Al}}^{3+}\right)+4{\mathrm{e}}^{-}\to \frac{4}{3}\mathrm{Al}$ and $\frac{2}{3}\left(3{\mathrm{O}}^{2-}\right)\to {\mathrm{O}}_{2}+4{\mathrm{e}}^{-}$

Thus, 4 electrons are involved in the redox reaction $\frac{2}{3}{\mathrm{Al}}_{2}{\mathrm{O}}_{3}\to \frac{4}{3}\mathrm{Al}+{\mathrm{O}}_{2}$

Thus, using the expression !:,. we get

Thus, the minimum potential difference needed for carrying out the given reaction electrolytically will be 2.50 V.  +91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)