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:
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The main component and key to success to Reaganomics was reduction in government spending.
<h3>What is Reaganomics?</h3>
This is the term that is used to refer to the government and the economic policies of Ronald Reagan. The purpose of the policy was to help to stimulate the United States government. The policy was contractionary in nature.
He advocated for a reduction in the way that government spent money, reduced taxes and also for less government regulations in businesses.
The result of this policy was that he helped to ensure that poverty was reduced in the country. Although it raised the levels of income inequality also in the nation.
Economics have stated that the policies of this president helped the nation to achieve great long time economic expansion.
Read more on Reaganomics here
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#SPJ1
They met at the Mount Washington Hotel I believe.
The function g(x) can be expressed as the inverse of f(x) as;
g(x) = ¼x - 3
<h3>Inverse Functions</h3>
Complete question is;
If g(x) is the inverse of f(x) and f(x) = 4x + 12 what is g(x)?
- Now, for us to find the inverse of a function, we need to make the output the subject of the formula first and then switch the input and new output values.
Thus;
f(x) = 4x + 12
Thus;
(f(x) - 12)/4 = x
x = ¼f(x) - 3
Thus, switching as said above, we now have;
g(x) = ¼x - 3
Read more about inverse functions at;brainly.com/question/8824268