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following argentometric titration reaction was monitored using an electrochemica

ID: 103928 • Letter: F

Question

following argentometric titration reaction was monitored using an electrochemical cell. Ags) wire with a Agl (s) coating as the cathode and an SCE as the anode. Titration reaction: Ag+(a) + raq) Agl (s) Monitoring cell: SCE I| I' (aq) | Agl(s), Ag (s) (a) (4 pts) Derive a "split" Nernst equation that describes the monitoring cell for this titration. Plug in the Ksp for Agl-8.3 x 10- Eocat-0.152 V, Eoan = 0.241 numbers for any variables that are known. Hint: To get started, write out the cathodic half reaction (b) (6 pts) If 50.00 mL of 0.1500 M KI was reacted with 20.00 ml of 0.2800 M AgNO, what would cell potential be? (c) (6 pts) If 50.00 mL of 0.1500 M KI was reacted with 40 mL of 0.2800 M AgNO,, what would the cell potential be?

Explanation / Answer

a)

AgI(s) + e Ag(s) + I               

E0cat = 0.152 V

Ecat = E0cat – RT / nF ln([I-])

E0an of SCE = 0.241

At 25 C,

Ecell = Ecat + Ean

= 0.241 – 0.152 – 0.05912 / 1 * log([I-])

= 0.089 - 0.05912 * log([I-])

b)

KI + AgNO3 --> KNO3 + AgI(s)

Moles if I- left in solution = 50 * 0.15 – 20 * 0.28

= 1.9 mMoles

Total volume of solution = 50 + 20 = 70 mL

[I-] = 1.9 / 70 = 0.027 M

Ecell = 0.089 - 0.05912 * log([I-])

= 0.089 – 0.05912 * log(0.027)

= 0.18 V

c)

Moles if Ag+ left in solution = 40 * 0.28 - 50 * 0.15

= 3.7 mMoles

Total volume of solution = 50 + 40 = 90 mL

[Ag+] = 3.7 / 90 = 0.041 M

Ksp = [Ag+][I-] = 8.3 x 10-17

[I-] = 8.3 x 10-17/ 0.041

= 2.02 x 10-15 M

Ecell = 0.089 - 0.05912 * log([I-])

= 0.089 – 0.05912 * log(2.02 x 10-15)

= 0.96 V