Redox Reactions And Electrochemistry Question 517

Question: On the basis of the information available from the reaction $ \frac{4}{3}Al+O_2\to \frac{2}{3}Al_2O_3,\Delta G $ $ =-827kJmo{l^{-1}} $ of $ O_2 $ the minimum e.m.f required to carry out an electrolysis of $ Al_2O_3 $ is $ ( F=96500Cmo{l^{-1}} ) $

Options:

A) 8.56 V

B) 2.14 V

C) 4.28 V

D) 6.42 V

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ \Delta G=-nEF $ For 1 mole of Al, n = 3
$ \therefore $ for $ \frac{4}{3} $ mole of Al, $ n=3\times \frac{4}{3}=4 $ According to question, $ -827\times 1000=-4\times E\times 96500 $ $ E=\frac{827\times 1000}{4\times 96500}=2.14V $
$ \therefore $ minimum e.m.f required = 2.14 V



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें