Calculate E° for each of the following reactions, and tell which are spontaneous under standard-state conditions. (a)

Question

Calculate E° for each of the following reactions, and tell which are spontaneous under standard-state conditions.
(a) <CHEMICAL EQUATION>

Accepted Answer

Hello. In this problem we are asked to determine the standard cell potential for the fallen reaction between flooring gas and sodium metal. Were asked understand state conditions is reaction spontaneous will begin by breaking apart our overall reaction into two half reactions. So we have flooring gas then it's going to be reduced. So that means it's going to gain electrons to form fluoride. And then we have our sodium metal being oxidized to form sodium mines. We're going to lose two electrons so we can look in standard reduction potentials like in the appendix of our textbook find in the standard reduction potential associated with the production of flooring gas form Floridians. This is 2.87V. If we take our oxidation half reaction and write it in reverse then get a production half reaction. So sodium is being reduced to form sodium metal can factor a two out of everything. We get 30 minds an electron form sodium metal. And so this is a production half reaction. We can find the standard reduction potential In the table for this half reaction, it's equal to -2.71V. So we call that standard cell potential is an intensive property. So it's independent then of the quantity of reactions of products. So if we multiply through by two, we don't impact the standard reduction potential remains the same. So if you were to consider that our definition of a volt volt is one jewel per So if you double moles, this will double jewels and columns. So our quantity for vote will remain unchanged. So again it is an intense property. And so if we take then our standard production potential, Then our standard oxidation potential is equal in magnitude but opposite in sign this B plus 2.71V. So then our standard cell potential. We'll combine our standard reduction potential plus our standard oxidation potential. And this works out to then 5.58V. This is positive and sign. So that means then this reaction will be spontaneous Under standard state conditions. So our standard cell potential for the reaction between flooring gas and the metal is 5.58V. It's positive and signed. So this will be spontaneous under standard state conditions. This corresponds to answer a thanks for watching. Hope. This helped them.

Calculate E° for each of the following reactions, and tell which are spontaneous under standard-state conditions. (a)

Verified Solution

Key Concepts

Standard Electrode Potential (E°)

Gibbs Free Energy (ΔG)

Nernst Equation