The concentration of Iron in the galvanic (voltaic) cell Fe(s) + Mn²⁺(aq) ⟶ Fe²⁺(aq) + Mn(s) is 0.02297 M.
<h3>What is the Nernst Equation?</h3>
The Nernst equation enables us to identify the cell potential(voltage) in presence of non-standard conditions in a galvanic cell. It can be expressed by using the formula:
![\mathbf{E_{cell} = E_o - \dfrac{0.059}{n} \times log \dfrac{[Fe^+]}{[Mn^{2+}]}}](https://tex.z-dn.net/?f=%5Cmathbf%7BE_%7Bcell%7D%20%3D%20E_o%20-%20%5Cdfrac%7B0.059%7D%7Bn%7D%20%5Ctimes%20log%20%5Cdfrac%7B%5BFe%5E%2B%5D%7D%7B%5BMn%5E%7B2%2B%7D%5D%7D%7D)
where;
- n = Number of electrons = 2
= Initial voltage = 0.77 V
= Cell voltage = 0.78 V
= Manganese concentration = 0.050 M
Replacing the values into the above equation, we have:
![\mathbf{0.78 = 0.77 - \dfrac{0.059}{2} \times log \dfrac{[Fe^{2+}]}{[0.050]}}](https://tex.z-dn.net/?f=%5Cmathbf%7B0.78%20%3D%200.77%20-%20%5Cdfrac%7B0.059%7D%7B2%7D%20%5Ctimes%20log%20%5Cdfrac%7B%5BFe%5E%7B2%2B%7D%5D%7D%7B%5B0.050%5D%7D%7D)
![\mathbf{0.78 -0.77= -0.0296\times log \dfrac{[Fe^{2+}]}{[0.050]}}](https://tex.z-dn.net/?f=%5Cmathbf%7B0.78%20-0.77%3D%20-0.0296%5Ctimes%20log%20%5Cdfrac%7B%5BFe%5E%7B2%2B%7D%5D%7D%7B%5B0.050%5D%7D%7D)
![\mathbf{log^{-1} (-0.3378) = \dfrac{[Fe^{2+}]}{[0.050]}}](https://tex.z-dn.net/?f=%5Cmathbf%7Blog%5E%7B-1%7D%20%28-0.3378%29%20%3D%20%5Cdfrac%7B%5BFe%5E%7B2%2B%7D%5D%7D%7B%5B0.050%5D%7D%7D)


Learn more about using the Nernst equation here:
brainly.com/question/24258023
Answer:
A. 1.0 is the correct answer.
Explanation:
Given that the manager wants to know the type of vegetarian dishes that the people prefer, the sample that is going to provide him with the most accurate data is:
- a random group of 40 people on the street
The reason for this is because this sample has the most number and the people that are used for the sampling were chosen randomly.
A random sampling is very good because it provides an opportunity for every member of a population to be selected.
Read more on random sampling here:
brainly.com/question/24466382
The answer option which is considered to be true of analogies in supporting problem solving is: Relevant analogies usually help people solve problems, and people do spontaneously think of relevant analogies.
An analogy can be defined as a process through which a situation is compared with another for the purpose of clarity or explanation. Thus, an analogy can be used to explain and illustrate the relationship that exist between two or more things.
In the problem-solving process, an analogy uses relevant or similar situations to proffer a solution to a problem since there exist a relationship between the two circumstances.
In conclusion, relevant analogies usually help people in proffering solution to problems.
Read more on analogy here: brainly.com/question/15069997