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![\mathbf{[Mn^{2+}]}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5BMn%5E%7B2%2B%7D%5D%7D)
= 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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A plan of dollar amounts to be spent on long-term projects is called a Capital Budget.
<h3>What Is Capital Budgeting? </h3>
Capital budgeting is known to be a form of a business doings that is often done to examine potential major projects or any form of an investments.
Note that before a person does any business, it is good that they have the budgeted amount of money they are willing to spend as it is important before going into the business.
Hence, A plan of dollar amounts to be spent on long-term projects is called a Capital Budget.
Learn more about long-term projects from
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The oxidation number if eah of the elements is as follows;
- Oxidation number of Mn is + 7 on the right hand side and +4 on the right hand side
- Oxidation number if hydrogen is +1 on both sides
- The oxidation number of oxygen is -2 on both sides
- The oxidation number of sulfur is -2 on the lefthand side and zero on the right hand side.
<h3>What is a redox reaction?</h3>
A redox reaction is one in which there is a change in the oxidation number of the reactants from left to right.
Let us now consider the oxidation number of each element from left to right;
- Oxidation number of Mn is + 7 on the right hand side and +4 on the right hand side
- Oxidation number if hydrogen is +1 on both sides
- The oxidation number of oxygen is -2 on both sides
- The oxidation number of sulfur is -2 on the lefthand side and zero on the right hand side.
Learn more about oxidation number: brainly.com/question/15167411?
Answer: $150
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Explanation: 3 + 10 = 13
13 + 30 = 43
43 + 100 = 143
143 + 7 = $150
