Cell Stoichiometry: Mass of Na Deposited in 2h

In summary: Just check your standard reduction potentials chart and you'll see.Na+(aq) + e- --> Na(s) - state of matter symbol should be listed in plain text, not subscript nor anything.--In summary, the student is trying to determine the mass of sodium deposited at the cathode of a molten NaCl(l) electrolytic cell if 10.0 A flow through the cell for 2.00h. Farady's law of electrolysis and how to calculate charge given current and time are known, but when to balance the electron is not clear. There are several methods available, but they are of no use in this question.
  • #1
Nope
100
0

Homework Statement



Determine the mass of sodium deposited at the cathode of a molten NaCl(l) electrolytic cell if 10.0 A flow through the cell for 2.00h.

Homework Equations





The Attempt at a Solution


For the mole ratio,
Na+ +e --> Na
2Cl- --> Cl2 + 2e
Should I balance the electron ? 2Na+ +2e --> 2Na
or I use Na+ +e --> Na
Thanks
 
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  • #2
Na+ + e- -> Na will do.

Do you know Farady's law of electrolysis? Do you know how to calculate charge given current and time?

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  • #3
Yes.
But when should I balance the electron?
 
  • #4
Not sure what you mean - sodium reduction reaction is written is already balanced.

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methods
 
  • #5
You balance the half equations, Then identify which is oxidised and reduced, then you add the electrons to the specific sides (RHS reduction, LHS oxidisation). but if Na+(aq) + e- --> Na(s).

Just check your standard reduction potentials chart and you'll see.
 
  • #6
Sirsh said:
Na+(aq) + e- --> Na(s).

Na+(aq) + e- -> Na(s) - state of matter symbol should be listed in plain text, not subscript nor anything.

Just check your standard reduction potentials chart and you'll see.

These are of no use here - you are already told what is the reaction that goes on - reduction of sodium.

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methods
 
Last edited:
  • #7
The super script was an accident, But I don't see why i cannot use sub script for them?
 
  • #8
See http://www.iupac.org/reports/provisional/abstract05/GreenBook051206_prs.pdf , General Chemistry section, Other symbols and conventions in chemistry (2.10.1), (vi) States of aggregation.

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methods
 
Last edited by a moderator:
  • #9
  • #10
You don't have to - we are interested only in sodium and we need just sodium half reaction. Balanced - but half reaction only.

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methods
 

What is cell stoichiometry?

Cell stoichiometry is the study of the relationships between the reactants and products in a chemical reaction, specifically in an electrochemical cell. It involves calculating the amount of substances involved in the reaction based on their mass, charge, and other factors.

Why is the mass of Na deposited important?

The mass of Na deposited is important because it provides information about the efficiency of the electrochemical cell. It can also be used to determine the amount of charge that has passed through the cell and the reaction rate.

How is the mass of Na deposited calculated?

The mass of Na deposited can be calculated by multiplying the number of moles of Na by its molar mass. The number of moles can be determined using Faraday's law of electrolysis, which relates the amount of substance deposited to the amount of charge passed through the cell.

What factors can affect the mass of Na deposited?

The mass of Na deposited can be affected by the current passing through the cell, the duration of the reaction, the concentration of Na ions in the solution, and the surface area and composition of the electrode.

How is cell stoichiometry used in practical applications?

Cell stoichiometry is used in various applications, such as in the production of metals through electrolysis, in batteries and fuel cells, and in wastewater treatment. It is also important in understanding and optimizing the efficiency of chemical reactions and processes in industries such as pharmaceuticals and semiconductors.

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