The reduction potential of a hydrogen electrode (p_H2 = 1 bar) in a buffer of pH 5 at 298 K is (take 2.303RT/F = 0.0591 V)

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The reduction potential of a hydrogen electrode ( $p_{H X_{2}} = 1 bar$ ) in a buffer of pH 5 at 298 K is (take $2.303 RT / F = 0.0591 V$ )

For

2 H X^{+} + 2 e X^{-} H X_{2}

at 1 bar,

E = 0 - \frac{0.0591}{2} lo g \frac{1}{[ H X ^{+} ] ^{2}} = - 0.0591 pH

. At pH 5,

E = - 0.0591 \times 5 = - 0.2955 \approx - 0.296 V

. The potential falls by 0.0591 V for every unit rise in pH.