General Chemistry 2: Batteries & Potentials Question: If I made and tested three

Question

General Chemistry 2: Batteries & Potentials

Question: If I made and tested three different batteries, which of the three tested would give me the best ratio of volts to cost (V/$)? Please show the math for each of three made batteries and please explain also why that one of the three would be best. Thank you so much!

Battery 1.)   HALF CELL ONE: 1.0 Mg2+ (aq) and 1.0 Mg (s) HALF CELL TWO: 1.0 M Zn2+ (aq) and Zn (s) observed potential = + 1.12 V

Battery 2.)   HALF CELL ONE: 1.0 Mg2+ (aq) and 1.0 Mg (s) HALF CELL TWO: 1.0 M Ag+ (aq) and Ag (s) observed potential = + 2.39 V

Battery 3.)   HALF CELL ONE: 1.0 Mg2+ (aq) and 1.0 Mg (s) HALF CELL TWO: 1.0 M Pb2+ (aq) and Pb (s) observed potential = + 1.42 V

Explanation / Answer

Though Battery (2) gives more potential, but silver is more expensive, so it does not give best V/$ ratio.

Inbetween Battery (1) and battery (3),

battery (3) gives best V/$ ratio. Actually Pb is more costlier than Zn, but battery (3) gives more potential than battery (1), hence battery (3) gives best potentil to dollar ratio.

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