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Feliz [49]
3 years ago
12

A particular voltaic cell operates with the reaction: Zn(s)+Cl2(g)--->Zn^2+(aq)+2Cl^-(aq) giving a cell potential of .853 V.

Calculate the amount of energy liberated from the cell when 20.0g of zinc metal is consumed?
Chemistry
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

The amount of energy liberated will be 49.38 J.

Explanation:

The amount of energy liberated (gibbs free energy) can be calculated using the following equation:

ΔG° = -nFε

n: amount of moles of electrons transfered

F: Faraday's constant

ε: cell potential

20.0 g of Zn is equal to 0.30 mol.

Two electrons are transfered during the reaction.

Therefore, n = 2x0.30 ∴ n = 0.60

ΔG° = - 0.60 x 96.485 x 0.853

ΔG° = 49.38 J

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The galvanic cell must provide at least 0.70V of electrical power, that is:

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We can calculate the standard reduction potential of the cathode (E°cat) using the following expression.

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If we combine [1] and [2], we get,

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As sodium chloride is an ionic compound so, when it is added to water then it will dissociate into sodium and chlorine ions as follows.

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So, it means in total there will be formation of 2 ions when one molecules of NaCl dissociates.

Therefore, concentration of chlorine ions will be calculated as follows.

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Thus, we can conclude that the concentration of chloride ions is 0.6 mM.

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