The pH in the anode compartment is 3.01.
What is electrolysis?
The process of splitting water into hydrogen and oxygen using electricity is known as electrolysis. This reaction takes place in a device known as an electrolyzer.
What happens in electrolysis at anode?
The anode is the positive polarity contact in an electrolytic cell and is where oxidation occurs. The electrical potential forces anions (negative ions) to react chemically and give off electrons (oxidation) at the anode, which then flow up and into the drive circuit.
Reaction at anode:
[tex]2H_2O[/tex] → [tex]O_2 + 4H^+ + 4e^-[/tex]
Time = 5mins = 5 * 60s = 300s
Charge Q = I * T (current * Time)
Q = 0.0250 * 300 = 7.5C
Charge of single electron = [tex]1.6 * 10^-^1^9 C[/tex]
no. of electrons = total charge Q / charge on single electron
no. of electrons = 7.5 / [tex]1.6 * 10^-^1^9 C[/tex] = [tex]4.69 * 10^1^9[/tex]
Moles of electrons = no. of electrons / Avagadro no.
Moles of electrons = [tex]\frac{4.69 * 10^1^9 }{6.022 * 10^2^3}[/tex] = [tex]7.78* 10 ^-^5[/tex]
Given :
volume of solution = 80.0ml = 0.080l
According to the above reaction,
No of mole of [tex]e^-[/tex] = No. of mole of [tex]H^+[/tex]
Molarity of [tex]H^+[/tex] = moles of [tex]H^+[/tex] / volume of solution
Molarity of [tex]H^+[/tex] = [tex]\frac{7.78 * 10^-^5}{0.080}[/tex] = [tex]9.73 * 10^-^4M[/tex]
So,
pH = -log ([tex]H^+[/tex]) = -log( [tex]9.73 * 10^-^4M[/tex])
pH = 3.01
The pH in the anode compartment is 3.01.
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