Redox Reactions And Electrochemistry Ques 717

Question: The reduction potential of hydrogen half-cell will be negative if

Options:

A) $ p(H_2)=2,atm,and,[{H^{+}}]=2.0M $

B) $ p(H_2)=1,atm,and,[{H^{+}}]=2.0M $

C) $ p(H_2)=1,atm,and,[{H^{+}}]=1.0M $

D) $ p(H_2)=2,atm,and,[{H^{+}}]=1.0M $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] For $ {H^{+}}(aq)+{e^{-}}\to (1/2)H_2(g), $ we have $ E=-\frac{RT}{F}\ln \frac{{{( pH_2/atm )}^{1/2}}}{( [{H^{+}}]/M )} $ For E to be negative, the ratio $ \frac{{{( pH_2/atm )}^{1/2}}}{( [{H^{+}}]/M )} $ should be greater than 1. Only the choice ([d] produces this result.



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