Hydrogen peroxide, is a somewhat stronger acid than water.

Chapter 17, Problem 83

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Hydrogen peroxide, is a somewhat stronger acid than water. Its ionization is represented by the equation In 1912, the following experiments were performed to obtain an approximate value of for this ionization at A sample of was shaken together with a mixture of water and 1-pentanol. The mixture settled into two layers. At equilibrium, the hydrogen peroxide had distributed itself between the two layers such that the water layer contained 6.78 times as much as the 1-pentanol layer. In a second experiment, a sample of was shaken together with 0.250 M NaOH(aq) and 1-pentanol. At equilibrium, the concentration of was 0.00357 M in the 1-pentanol layer and 0.259 M in the aqueous layer. In a third experiment, a sample of was brought to equilibrium with a mixture of 1-pentanol and 0.125 M NaOH(aq); the concentrations of the hydrogen peroxide were 0.00198 M in the 1-pentanol and 0.123 M in the aqueous layer. For water at Find an approximate value of for at [Hint: The hydrogen peroxide concentration in the aqueous layers is the total concentration of and Assume that the 1-pentanol solutions contain no ionic species.]