Calculate the pH of a solution that is made by dissolving 19.343 grams of Be(NO32 (M.M. 133.020 g/mol) in enough water to make 175.0 mL of solution. pK, for Be(H2O),= 5.70. %3D

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**Problem Statement:**

Calculate the pH of a solution that is made by dissolving 19.343 grams of Be(NO₃)₂ (M.M. 133.020 g/mol) in enough water to make 175.0 mL of solution. The pKa for Be(H₂O)₄²⁺ is 5.70.

**Solution Explanation:**

The goal of this problem is to calculate the pH of a solution made by dissolving beryllium nitrate in water. Let's follow the steps to determine the pH.

1. **Calculate moles of Be(NO₃)₂:**

    \[
    \text{Moles of Be(NO₃)₂} = \frac{\text{Mass}}{\text{Molar Mass}} = \frac{19.343 \text{ grams}}{133.020 \text{ g/mol}} = 0.145 \text{ moles}
    \]
   
2. **Find molarity (M) of Be(NO₃)₂ solution:**

    \[
    \text{Molarity (M)} = \frac{\text{Moles of solute}}{\text{Liters of solution}} = \frac{0.145 \text{ moles}}{0.175 \text{ L}} = 0.829 \text{ M}
    \]
   
3. **Determine the pKa of Be(H₂O)₄²⁺:**

    Given pKₐ of Be(H₂O)₄²⁺ is 5.70.

    \[
    \text{pKa} = 5.70
    \]
   
4. **Determine concentration of H\(^+\) ions:**

    The relationship between Ka and pKa is given by,
   
    \[
    \text{Ka} = 10^{-\text{pKa}} = 10^{-5.70} = 2.00 \times 10^{-6}
    \]
   
5. **Calculate the concentration of H\(^+\) ions using the equilibrium expression for Be(H₂O)₄²⁺:**

    \[
    \text{Ka} = \frac{[\text{H}^+][\text{Be(H₂O)_3OH}^+]}{[\text{Be(H₂O)_4}^2^
Transcribed Image Text:**Problem Statement:** Calculate the pH of a solution that is made by dissolving 19.343 grams of Be(NO₃)₂ (M.M. 133.020 g/mol) in enough water to make 175.0 mL of solution. The pKa for Be(H₂O)₄²⁺ is 5.70. **Solution Explanation:** The goal of this problem is to calculate the pH of a solution made by dissolving beryllium nitrate in water. Let's follow the steps to determine the pH. 1. **Calculate moles of Be(NO₃)₂:** \[ \text{Moles of Be(NO₃)₂} = \frac{\text{Mass}}{\text{Molar Mass}} = \frac{19.343 \text{ grams}}{133.020 \text{ g/mol}} = 0.145 \text{ moles} \] 2. **Find molarity (M) of Be(NO₃)₂ solution:** \[ \text{Molarity (M)} = \frac{\text{Moles of solute}}{\text{Liters of solution}} = \frac{0.145 \text{ moles}}{0.175 \text{ L}} = 0.829 \text{ M} \] 3. **Determine the pKa of Be(H₂O)₄²⁺:** Given pKₐ of Be(H₂O)₄²⁺ is 5.70. \[ \text{pKa} = 5.70 \] 4. **Determine concentration of H\(^+\) ions:** The relationship between Ka and pKa is given by, \[ \text{Ka} = 10^{-\text{pKa}} = 10^{-5.70} = 2.00 \times 10^{-6} \] 5. **Calculate the concentration of H\(^+\) ions using the equilibrium expression for Be(H₂O)₄²⁺:** \[ \text{Ka} = \frac{[\text{H}^+][\text{Be(H₂O)_3OH}^+]}{[\text{Be(H₂O)_4}^2^
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