Consider the following electrochemical cell: Pt|H2(B,p°)|HCI(aq,b)|Hg.Cla(s)| Hg() The potential of this cell, in relation to different molalities (b), has been measured with high precision at 25°C. The following results have been obtained: b/mmol.kg" EN I (ionic strength) Y+ (DHLL) Y+ (linear fit) 1.6077 3.0769 5.0403 7.6938 10.9474 0.60080 0.56825 0.54366 0.52267 0.50532 (i) Write the half-reactions for the cell, and show the standard potential of each half-reaction. (ii) Determine the standard cell potential through simple calculation. (i) Write the cell reaction for this cell.

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Consider the following electrochemical cell:
Pt|H2(g,p°)|HCI(aq,b)|Hg2Cla(s)[ Hg(1)
The potential of this cell, in relation to different molalities (b), has been measured with high precision at
25°C. The following results have been obtained:
b/mmol.kg
E/V
I (ionic strength)
Y: (DHLL)
Y+ (linear fit)
1.6077
3.0769
5.0403
7.6938
10.9474
0.60080
0.56825
0.54366
0.52267
0.50532
(i)
Write the half-reactions for the cell, and show the standard potential of each half-reaction.
(ii)
(ii) Write the cell reaction for this cell.
(iv) Write the Nernst equation for this cell in terms of molality (b) and the mean activity coefficient (ya) of
Determine the standard cell potential through simple calculation.
HCI.
(v) Determine the ionic strength (1) for each molality (b) (and complete the above table).
(vi) By employing the Debye-Hückel limiting law (DHLL), determine the mean activity coefficient (y4) of HCI
(and complete the above table).
(vii) Write the Nernst equation for this cell only in terms of molality (b), where the mean activity coefficient
(y4) of HCl does not feature.
(viii) Rearrange the equation in (vii) and make a suitable plot, using the data in the table, to determine the
standard cell potential.
Now incorporate the standard cell potential, determined from the linear fit in (vii), into the Nernst
(ix)
equation and determine the mean activity coefficient (y4) of HCI (and complete the above table).
(x)
Comment on any differences that you might observe between the values obtained for the mean
activity coefficient (y4) of HCI in (vi) and (ix).
Transcribed Image Text:Consider the following electrochemical cell: Pt|H2(g,p°)|HCI(aq,b)|Hg2Cla(s)[ Hg(1) The potential of this cell, in relation to different molalities (b), has been measured with high precision at 25°C. The following results have been obtained: b/mmol.kg E/V I (ionic strength) Y: (DHLL) Y+ (linear fit) 1.6077 3.0769 5.0403 7.6938 10.9474 0.60080 0.56825 0.54366 0.52267 0.50532 (i) Write the half-reactions for the cell, and show the standard potential of each half-reaction. (ii) (ii) Write the cell reaction for this cell. (iv) Write the Nernst equation for this cell in terms of molality (b) and the mean activity coefficient (ya) of Determine the standard cell potential through simple calculation. HCI. (v) Determine the ionic strength (1) for each molality (b) (and complete the above table). (vi) By employing the Debye-Hückel limiting law (DHLL), determine the mean activity coefficient (y4) of HCI (and complete the above table). (vii) Write the Nernst equation for this cell only in terms of molality (b), where the mean activity coefficient (y4) of HCl does not feature. (viii) Rearrange the equation in (vii) and make a suitable plot, using the data in the table, to determine the standard cell potential. Now incorporate the standard cell potential, determined from the linear fit in (vii), into the Nernst (ix) equation and determine the mean activity coefficient (y4) of HCI (and complete the above table). (x) Comment on any differences that you might observe between the values obtained for the mean activity coefficient (y4) of HCI in (vi) and (ix).
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