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Group Cell Experimental cell potential 1 Fe (s) Fe2+ (aq,1M) Cu2+ (aq,1M) Cu (s)

ID: 1058335 • Letter: G

Question

Group

Cell

Experimental cell potential

1

Fe (s)    Fe2+ (aq,1M)     Cu2+ (aq,1M) Cu (s) 5°C

.664

2

Fe (s)    Fe2+ (aq,1M)     Cu2+ (aq,1M) Cu (s) 50°C

.885

3

Fe (s)    Fe2+ (aq,1M)     Cu2+ (aq,1M) Cu (s) 75°C

.926

4

Zn(s)    Zn2+ (aq,1M)   Cu2+ (aq,1M)   Cu (s) 5°C

.793

5

Zn(s)    Zn2+ (aq,1M)    Cu2+ (aq,1M)   Cu (s) 50°C

.833

6

Zn(s)    Zn2+ (aq,1M)    Cu2+ (aq,1M)   Cu (s) 50°C/75°C

.724

Group

Cell

Experimental cell potential

1

Fe (s)    Fe2+ (aq,1M)     Cu2+ (aq,1M) Cu (s) 5°C

.664

2

Fe (s)    Fe2+ (aq,1M)     Cu2+ (aq,1M) Cu (s) 50°C

.885

3

Fe (s)    Fe2+ (aq,1M)     Cu2+ (aq,1M) Cu (s) 75°C

.926

4

Zn(s)    Zn2+ (aq,1M)   Cu2+ (aq,1M)   Cu (s) 5°C

.793

5

Zn(s)    Zn2+ (aq,1M)    Cu2+ (aq,1M)   Cu (s) 50°C

.833

6

Zn(s)    Zn2+ (aq,1M)    Cu2+ (aq,1M)   Cu (s) 50°C/75°C

.724

cell bath with plate. Plauu ulu voltage. You need to record the water off the hot the the them to the voltmeter and measure temperatures of both half cells. Use the average of both for your calculations 3. Share your data with your class. an VS. Determine AG at 25 oC and compare them to your results C 5. palculate the theoretical values for AH°, ASo, AGo,

Explanation / Answer

Ans.

We know that

Delta G = -RTlnK = -nFE0

Delta G0 = Delta H0 - T Delta S0

-RTlnK = Delta H0 - T Delta S0

lnK = -Delta H0 / RT + DeltaS0 / R

-nFE0 = Delta H0 - T Delta S0

Delta S0 = nF[dE0 /dT]

so if we plot a graph between E0 and temperature we can obtain delta S as slope of the graph

DS° = n F * (slope of graph)
Emf of the cell    Temperature    T K
0.62    5    278
0.589    50    323
0.71    75    348

y = 0.001x + 0.307

Slope = 0.001 = Delta S° = n F * (slope of graph)

Delta S0 = 2 X 96485 X 0.001

Delta S0 = 1.9297 * 10^2 kJ . mol-1K-1

E0 (298K) = Ecathode - Eanode = 0.34 - (-0.41) = 0.75 V

Delta G° = - ( 2 ) ( 96485 ) ( 0.75 ) = 144727.5 = 1.45 10^5 KJ / mol

delta G° = Delta H° - TDeltaS°

Delat H° = DG° + T D S°

Delta H° = -1.45 X 10^5 + 298 X 1.9297 * 10^2 kJ . mol-1K-1

Delta H° = 0.8722 X 10^5 KJ / Mole

2) for second cell
Emf of the cell    Temperature    T K
0.781    5    278
0.713    50    323
0.741    75    348

Slope = 0

So DeltaS = 0

E0 (298K) = Ecathode - Eanode = 0.34 - (-0.76 = 1.10 V

Delta G° = - ( 2 ) ( 96485 ) ( 1.10 ) = 212267 = -2.12 10^5 KJ / mol

delta G° = Delta H° - TDeltaS°

Delat H° = DG° + T D S°

Delta H° = -2.12 10^5+ 298 X 0

Delta H° =-2.12 10^5 KJ / Mole.