Final answer:
The best cell combination to use for a potential of exactly 0.5 V is Zn/Zn2+ and Cu/Cu2+. To prepare the required solution, dilute the 1 M metal ion solution to half its volume. Therefore, The correct answer is B.
Step-by-step explanation:
The best cell combination to use when setting up a cell with a potential of exactly 0.5 V by adjusting the half-cell ion concentrations would be option B) Zn/Zn2+ and Cu/Cu2+. In order to prepare the required solution, we need to calculate the volume of 1 M metal ion solution that needs to be diluted and the final volume of the diluted solution. Here's how:
- Start with the dilution equation: C1V1 = C2V2,
- where C1 and V1 are the initial concentration and volume, and C2 and V2 are the final concentration and volume.
- Let's assume the initial concentration of the metal ion solution is 1 M and we need to dilute it to a final concentration of 0.5 M.
- Substituting the values into the dilution equation, we get: 1 M x V1 = 0.5 M x V2
- Now, rearrange the equation to solve for V1: V1 = (0.5 M x V2) / 1 M
- Assuming the final volume of the diluted solution is V2, substituting the values, we get: V1 = 0.5 V2
So, to prepare the solution required for creating a cell with a potential of exactly 0.5 V, you would need to dilute the 1 M metal ion solution to half its volume, resulting in a final volume of the diluted solution equal to the initial volume divided by 2. Therefore, The correct answer is B.