Question #122954
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
2020-06-18T14:41:25-0400

Upon the electrolysis of the NaCl aqueous solution, the following processes take place:

anode: 2Cl- \rightarrow Cl2 + 2e-

cathode: 2H2O + 2e-\rightarrow H2 + 2OH-.

As one can see, hydroxide anions OH- are produced during the electrolysis. Therefore, the pH increases. At pH 9, the concentration of OH- anions is:

c(OH)=10(14pH)=105c(OH^-) = 10^{-(14-pH)} = 10^{-5} M.

This means that the number of the moles of OH- produced during the electrolysis is:

n(OH)=cV=105(M)500103(L)=5106n(OH^-) = cV = 10^{-5} (M)·500·10^{-3}(L) = 5·10^{-6} mol.

The first Faraday's law states the relation between the number of the moles nn of the substance produced during the electrolysis and the charge QQ passed through the system:

n=QFzn = \frac{Q}{Fz} ,

where FF is the Faraday constant 96485 C/mol and zz is the number of the electrons participating in the reaction divided by the stoichiometric coefficient of the substance produced. The hydroxide anion has a stoichiometric coefficient 2, so z=1z=1 . The charge passed through the solution is the product of the time and the current:

Q=ItQ = It .

Therefore, the time needed to raise the pH to 9 is:

t=nFI=5106(mol)96485(C/mol)0.500(A)=0.96t = \frac{nF}{I} = \frac{5·10^{-6}(mol)·96485(C/mol)}{0.500 (A)} = 0.96 s.

Answer: it would take 0.96 s for the pH of the solution to rise to a value of 9.


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Comments

Assignment Expert
19.06.20, 14:30

Dear Borataake, Questions in this section are answered for free. We can't fulfill them all and there is no guarantee of answering certain question but we are doing our best. And if answer is published it means it was attentively checked by experts. You can try it yourself by publishing your question. Although if you have serious assignment that requires large amount of work and hence cannot be done for free you can submit it as assignment and our experts will surely assist you.

Borataake
18.06.20, 08:41

2. Electroplating is an application of electrolysis where a thin layer of one metal is coated over another to improve durability and appearance of the host metal. Assuming you want to electroplate a piece of iron with a thin layer of another metal: a) Design an electroplating setup using required materials.

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