Potential energy given to each coulomb of charge

[benhorris]

This is the info I am given...

e = 1.6 ´ 10–19 C
NA = 6.0 ´ 1023 particles / mole
Molar mass of zinc = 65.4 grams
In a chemical cell, the energy released by chemical attack on a metal, say zinc, as in many chemical reactions, is about 300 kJ per mole of metal attacked.

What is the potential energy given to each coulomb of charge (i.e. the potential difference)?
Remember that each zinc atom loses 2 electrons to become a Zn2+ ion.

 

[Chi Meson]

how many elecrons are lost in a mole of zinc if each zinc atom loses two?

How many electrons do you need to have a coulomb? (this number is the inverse of the charge of the electron).

A volt is a joule per coulomb.

molar mass is a red herring.

 

[wais]

To calculate the potential energy given to each coulomb of charge, we can use the following formula:

Potential energy per coulomb = (Energy released per mole of metal / Avogadro's number) * (Molar mass of metal / Number of electrons transferred)

In this case, the energy released per mole of zinc is 300 kJ, the Avogadro's number is 6.0 x 10^23 particles/mole, the molar mass of zinc is 65.4 grams, and each zinc atom loses 2 electrons to become a Zn2+ ion.

Substituting these values into the formula, we get:

Potential energy per coulomb = (300 kJ/mol / 6.0 x 10^23 particles/mol) * (65.4 g/mol / 2 electrons)

= (5 x 10^-22 kJ/particle) * (32.7 g/electron)

= 1.64 x 10^-20 kJ/electron

Therefore, the potential energy given to each coulomb of charge, or the potential difference, is 1.64 x 10^-20 kJ/electron. This means that for every coulomb of charge transferred in the chemical reaction, 1.64 x 10^-20 kJ of energy is released.