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Q.

Standard electrode potential for Sn4+ / Sn2+ couple is + 0.15 V and that for the Cr3+ / Cr couple is – 0.74 V. These two couples in their standard state are connected to make a cell. The cell potential will be

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a

+1.19V

b

+0.89V

c

+0.18V

d

+1.83V

answer is B.

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Detailed Solution

Standard electrode potentials:

  • E°_{Sn^{4+}/Sn^{2+}} = +0.15 \text{ V}
  • E°_{Cr^{3+}/Cr} = -0.74 \text{ V}

Steps:

  1. Identify the anode and cathode:

The reduction potential is higher for the Sn^{4+}/Sn^{2+} couple (+0.15 V), so it acts as the cathode (reduction occurs here).

The Cr^{3+}/Cr couple has a lower reduction potential (-0.74 V), so it acts as the anode (oxidation occurs here).

  1. Calculate the cell potential:

The formula for cell potential is:

E°_{cell} = E°_{cathode} - E°_{anode}

Substitute the values:

E°_{cell} = (+0.15) - (-0.74)

E°_{cell} = +0.15 + 0.74 = +0.89 \text{ V}

Final Answer:

The cell potential is: +0.89 V

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