Calculate the pH of a buffer when the reduction potential of hydrogen electrode placed in the buffer solution is found to be - 0 . 413   V .

Step-by-step solution

Apply Nernst Equation on the given reduction reaction of hydrogen. H + aq   +   e - → 1 2 H 2 g E cell =   E cell ∘   - 0 . 059 n log 1 H + Where E H + / H 2 ∘ = 0   V and n = 1 - 0 . 413 = - 0 . 059 log 1 H + or 0 . 414 0 . 059 = - log H + = pH pH = 7