Respuesta :
The question is incomplete:
Complete question is read as:
A current of 10.4 a is applied to 1.25 l of a solution of 0.552 m hbr converting some of the h + to h2(g), which bubbles out of solution.What is the pH of the solution after 69 minutes?
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Solution:
Initial number of moles of H+ ions = molarity of solution X volume of solution
= 0.552 X 1.25
= 0.69
Now, during electrochemical reaction conc. of H+ ions will decrease in solution.
Using Faraday's law, we know that,
number of moles of H(+) discharged at the electrode = n = Q/(z•F)
where, Q = total electric charge in Coulomb
F = Faraday constant = 96485 C mol−1
z = electrons transferred per ion = 1 (in present case)
We also know that, Q = I x t = 10.4 X 69 X 60 = 43056 C
∴ n = Q/(z•F)
= (43056)/(1 X 96500) = 0.4462
Now, number of moles of H+ ions left in solution = 0.69 - 0.4462 = 0.2438
Now, Molarity of solution = number of moles/volume of solution
= 0.2438 / 1.25
= 0.195 M
Finally, conc. of [H+] = 0.195 M
∴ pH = -log [H+] = -log[0.195] = 0.71
Complete question is read as:
A current of 10.4 a is applied to 1.25 l of a solution of 0.552 m hbr converting some of the h + to h2(g), which bubbles out of solution.What is the pH of the solution after 69 minutes?
.................................................................................................................
Solution:
Initial number of moles of H+ ions = molarity of solution X volume of solution
= 0.552 X 1.25
= 0.69
Now, during electrochemical reaction conc. of H+ ions will decrease in solution.
Using Faraday's law, we know that,
number of moles of H(+) discharged at the electrode = n = Q/(z•F)
where, Q = total electric charge in Coulomb
F = Faraday constant = 96485 C mol−1
z = electrons transferred per ion = 1 (in present case)
We also know that, Q = I x t = 10.4 X 69 X 60 = 43056 C
∴ n = Q/(z•F)
= (43056)/(1 X 96500) = 0.4462
Now, number of moles of H+ ions left in solution = 0.69 - 0.4462 = 0.2438
Now, Molarity of solution = number of moles/volume of solution
= 0.2438 / 1.25
= 0.195 M
Finally, conc. of [H+] = 0.195 M
∴ pH = -log [H+] = -log[0.195] = 0.71
The pH of the solution after 69 minutes is 0.71.
Calculations and Parameters:
Given that the initial number of moles of H+ ions = molarity of solution X volume of solution
= 0.552 X 1.25
= 0.69
Then, during the electrochemical reaction, conc. of H+ ions will decrease in solution.
If we use Faraday's law, we know that,
- number of moles of H(+) discharged at the electrode = n = Q/(z•F)
- where, Q = total electric charge in Coulomb
- F = Faraday constant = 96485 C mol−1
- z = electrons transferred per ion = 1 (in present case)
It is also known that,
Q = I x t
= 10.4 X 69 X 60
= 43056 C
Therefore,
n = Q/(z•F)
= (43056)/(1 X 96500)
= 0.4462
Hence, the number of moles of H+ ions left in solution
= 0.69 - 0.4462
= 0.2438
Then, the molarity of solution = number of moles/volume of solution
= 0.2438 / 1.25
= 0.195 M
Finally, conc. of [H+] = 0.195 M
Therefore,
pH = -log [H+]
= -log[0.195]
= 0.71
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