Which of the following reactions will occur spontaneously as written? A. 3Fe2+(aq) + Cr3+(aq) -> Cr (s)  3 Fe3+ (aq)B. 2Cr3+ (aq) + 3Sn2+ (aq) -> 3Sn4+ (aq) + 2Cr (s)C. Sn4+ (aq) + Fe2+ (s) -> Sn2+ (aq) + Fe (s)D. Sn2+ (aq) + Fe2+ (s) -> Sn4+ (aq) + Fe 3+ (aq)E. 2Cr (s) + 3Fe2+ (s) -> 3Fe (s) + 2Cr3+ (aq)

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Asked Aug 2, 2019
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Which of the following reactions will occur spontaneously as written?

 

A. 3Fe2+(aq) + Cr3+(aq) -> Cr (s)  3 Fe3+ (aq)

B. 2Cr3+ (aq) + 3Sn2+ (aq) -> 3Sn4+ (aq) + 2Cr (s)

C. Sn4+ (aq) + Fe2+ (s) -> Sn2+ (aq) + Fe (s)

D. Sn2+ (aq) + Fe2+ (s) -> Sn4+ (aq) + Fe 3+ (aq)

E. 2Cr (s) + 3Fe2+ (s) -> 3Fe (s) + 2Cr3+ (aq)

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Expert Answer

Step 1

The relationship between ΔGo and Eo is shown below,

ΔGo = -nFEo

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The formula for the calculating standard electrode potential (E° is given below 'anode If AGo is positive then and E° is negative If the Eo is negative, the reaction is non-spontaneous, If the Eo is positive, the reaction is spontaneous

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Step 2

Eo of the given reaction is negative, therefore the reaction is non-spontaneous.

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ЗFe* (аq) +Сr* (aq) > Cr(s)+3Fe*" (aq) (а) The standard electrode potential (Eo is calculated as follows, E° Ehode -E Cat anode E° E E C 'Fe3Fe Cr E -0.74-(0.771) Eo 1.51 V

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Step 3

Eo of the given reaction is negative, therefore...

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(b) 2Cr (aq)3Sn2 (aq)->3Sn*(aq) +2Cr(s) The standard electrode potential (E° is calculated as follows, E° Ecathode-Eode Cathode anode E° =ErSnSn -E C E° 0.74-(0.154) E° 0.894V

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