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The pH of the solution produced by mixin...

The pH of the solution produced by mixing equal volume of `2.0 xx 10^(-3) M HClO_(4)` and `1.0 xx 10^(-2) M KClO_(4)` is

A

2.7

B

2.3

C

3

D

1

Text Solution

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The correct Answer is:
To find the pH of the solution produced by mixing equal volumes of `2.0 x 10^(-3) M HClO4` and `1.0 x 10^(-2) M KClO4`, we can follow these steps: ### Step 1: Understand the Components - **HClO4** is a strong acid and will completely dissociate in solution to give H⁺ ions. - **KClO4** is a salt that will dissociate into K⁺ and ClO4⁻ ions, but it does not affect the pH since ClO4⁻ is the conjugate base of a strong acid and does not hydrolyze. ### Step 2: Calculate the Initial Moles Assuming we mix equal volumes of both solutions, let's say we mix 1 liter of each solution for simplicity: - Moles of HClO4 = Volume × Concentration = 1 L × `2.0 x 10^(-3) M` = `2.0 x 10^(-3) moles` - Moles of KClO4 = Volume × Concentration = 1 L × `1.0 x 10^(-2) M` = `1.0 x 10^(-2) moles` ### Step 3: Calculate the Total Volume The total volume after mixing will be: - Total Volume = Volume of HClO4 + Volume of KClO4 = 1 L + 1 L = 2 L ### Step 4: Calculate the New Concentration of HClO4 Since HClO4 completely dissociates, the concentration of H⁺ ions will be equal to the concentration of HClO4 after mixing: - New concentration of HClO4 = Moles of HClO4 / Total Volume = `(2.0 x 10^(-3) moles) / (2 L)` = `1.0 x 10^(-3) M` ### Step 5: Calculate the pH The concentration of H⁺ ions is `1.0 x 10^(-3) M`. The pH can be calculated using the formula: - pH = -log[H⁺] - pH = -log(1.0 x 10^(-3)) = 3.0 ### Final Answer The pH of the solution produced by mixing equal volumes of `2.0 x 10^(-3) M HClO4` and `1.0 x 10^(-2) M KClO4` is **3.0**. ---

To find the pH of the solution produced by mixing equal volumes of `2.0 x 10^(-3) M HClO4` and `1.0 x 10^(-2) M KClO4`, we can follow these steps: ### Step 1: Understand the Components - **HClO4** is a strong acid and will completely dissociate in solution to give H⁺ ions. - **KClO4** is a salt that will dissociate into K⁺ and ClO4⁻ ions, but it does not affect the pH since ClO4⁻ is the conjugate base of a strong acid and does not hydrolyze. ### Step 2: Calculate the Initial Moles Assuming we mix equal volumes of both solutions, let's say we mix 1 liter of each solution for simplicity: ...
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