In a concentration cell with Ag⁺ at 0.1 M and Ag⁺ at 1 M, what is the cell poten

Practice Questions

Q1
In a concentration cell with Ag⁺ at 0.1 M and Ag⁺ at 1 M, what is the cell potential at 25°C?
  1. 0.059 V
  2. 0.118 V
  3. 0.177 V
  4. 0.236 V

Questions & Step-by-Step Solutions

In a concentration cell with Ag⁺ at 0.1 M and Ag⁺ at 1 M, what is the cell potential at 25°C?
  • Step 1: Identify the concentrations of Ag⁺ in the concentration cell. We have [Ag⁺]1 = 0.1 M and [Ag⁺]2 = 1 M.
  • Step 2: Write the formula for the cell potential (E) in a concentration cell: E = E° - (0.059/n)log([Ag⁺]1/[Ag⁺]2.
  • Step 3: Determine the standard cell potential (E°) for the reaction. For a concentration cell, E° = 0 V.
  • Step 4: Identify the number of electrons transferred (n) in the reaction. For Ag⁺ to Ag, n = 1.
  • Step 5: Substitute the values into the formula: E = 0 - (0.059/1)log(0.1/1).
  • Step 6: Calculate the logarithm: log(0.1) = -1.
  • Step 7: Substitute the logarithm value back into the equation: E = 0 - (0.059)(-1).
  • Step 8: Calculate the final cell potential: E = 0.059 V.
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