Question #122983
1. A solution of NaCl is neutral, with an expected PH of 7. If electrolysis was carried out on 500 mL of an NaCl solution with a current of 0.500 A, how many seconds would it take for the PH of the solution to rise to a value of 9? (PH is related to H+ concentration by PH = -log [H+]).
1
Expert's answer
2020-06-18T13:57:13-0400

Solution.

pH+pOH=14pH + pOH = 14

pOH(1)=147=7pOH(1) = 14 - 7 = 7

pOH(2)=149=5pOH(2) = 14 - 9 = 5

Δ[OH]=105107=0.0000099 M\Delta [OH^-] = 10^{-5} - 10^{-7} = 0.0000099 \ M

n(OH)=0.0000099×0.5=0.00000495 moln(OH^-) = 0.0000099 \times 0.5 = 0.00000495 \ mol

n(OH)=I×tFn(OH^-) = \frac{I \times t}{F}

t=n(OH)×FIt = \frac{n(OH^-) \times F}{I}

t = 0.96 s

Answer:

t = 0.96 s


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