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Amino Acids

At what pH of...

Question

At what pH of HCl solutions will hydrogen electrode show a potential of -0.177V at 298K,1 bar pressure?

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Solution

At anode,
H₂â†’2H⁺ +2e-
E_anode= E°_anode-(0.0591/2)log [H⁺]²
E°_anode=0 at standard temperature and pressure
E_anode= 0.177
-0.177x2/0.0591x2=log[H⁺]
pH= - log[H⁺]= 0.354/0.118
pH=3

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