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The zinc-air battery is a less expensive alternative for silver batteries in hearing aids. The cell reaction is

2Zn(s)+O22ZnO(s)

A new battery weighs 0.275g. The zinc accounts for exactly 110of the mass, and the oxygen does not contribute to the mass because it is supplied by the air.

(a) How much electricity (in C) can the battery deliver?

(b) How much free energy (in J) is released if Ecell is 1.3V?


Short Answer

Expert verified

(a) The amount of electricity that a battery can deliver in terms of C is obtained as: 81.18C.

(b) The amount of free energy released in terms of J is obtained as:-2.51105J.

Step by step solution

01

Chemical reaction

Chemical synthesis or, alternatively, chemical breakdown into two or more separate chemicals occurs when one component interacts with another to generate a new material. These processes are known as chemical reactions, and they are generally irreversible until followed by other chemical reactions.

02

Subpart (a)

As the mass of Zn is 110of 0.275, , the charge of the reaction may be calculated by dividing the mass by its molar mass, translating the moles of Zn to moles of electron, and multiplying by the Faraday constant. In the oxidation of ZnZn2+, two electrons are involved.

0.0275gZn1molZn65.38gZn2mole-1molZn96,500C1mole-=81.18C

Therefore, the electricity battery delivers is81.18C.

03

Subpart (b)

The equation 螖骋=-nFEcellmay be used to compute the 螖骋.

螖骋=-nFEcell=-296,5001.3=-2.51105J

Therefore, the amount of free energy released is -2.51105J.

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