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The concentration of NaOH in solution B is 2.00 g/dm³. Calculate the concentration of solution B in mol/dm³. If a titration used 25.00 cm³ of NaOH and 18.50 cm³ of H₂SO₄, what is the concentration of

Chemistry

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Answer

0.0500 mol/dm3\text{0.0500 mol/dm}^3

Step-by-step solution

3 steps
  1. Calculate the molar mass of sodium hydroxide (NaOH).

    The atomic masses are: Na = 22.99 g/mol22.99 \, \text{g/mol}, O = 16.00 g/mol16.00 \, \text{g/mol}, H = 1.01 g/mol1.01 \, \text{g/mol}.

    Molar mass of NaOH=22.99+16.00+1.01=40.00 g/mol\text{Molar mass of NaOH} = 22.99 + 16.00 + 1.01 = 40.00 \, \text{g/mol}
  2. Calculate the concentration of solution B (NaOH) in mol/dm3\text{mol/dm}^3.

    The mass concentration of NaOH is given as 2.00 g/dm32.00 \, \text{g/dm}^3.

    Concentration of B=Mass concentrationMolar mass\text{Concentration of B} = \frac{\text{Mass concentration}}{\text{Molar mass}} Concentration of B=2.00 g/dm340.00 g/mol\text{Concentration of B} = \frac{2.00 \, \text{g/dm}^3}{40.00 \, \text{g/mol}} Concentration of B=0.0500 mol/dm3\text{Concentration of B} = 0.0500 \, \text{mol/dm}^3

    The concentration of B is 0.0500 mol/dm3\boxed{\text{0.0500 mol/dm}^3}.

  3. Address parts (ii) and (iii).

    To calculate the pH of solution A and the amount of SO42−\text{SO}_4^{2-} ions that react, the concentration of solution A (H2SO4\text{H}_2\text{SO}_4) is required. The concentration of A is determined from the titration data (specifically, the average volume of solution A used from the burette). Since no burette readings or average volume of A are provided in the problem description, parts (ii) and (iii) cannot be calculated.

    If the average volume of A (VaV_a) and the pipetted volume of B (VbV_b) were known, the calculations would proceed as follows:

    • For (ii) pH of solution A:

      1. Write the balanced chemical equation: H2SO4(aq)+2NaOH(aq)→Na2SO4(aq)+2H2O(l)\text{H}_2\text{SO}_4 (\text{aq}) + 2\text{NaOH} (\text{aq}) \to \text{Na}_2\text{SO}_4 (\text{aq}) + 2\text{H}_2\text{O} (\text{l}).
      2. Use the titration formula: CaVana=CbVbnb\frac{C_a V_a}{n_a} = \frac{C_b V_b}{n_b}, where na=1n_a = 1 and nb=2n_b = 2.
      3. Calculate the concentration of A (CaC_a) using the known CbC_b (from part i), VbV_b (pipette volume, e.g., 25.00 cm325.00 \, \text{cm}^3), and the experimental VaV_a.
      4. Since H2SO4\text{H}_2\text{SO}_4 is a diprotic acid, [H+]=2×Ca[\text{H}^+] = 2 \times C_a.
      5. Calculate pH=−log⁡10[H+]\text{pH} = -\log_{10}[\text{H}^+].
    • For (iii) amount of SO42−\text{SO}_4^{2-} ions that react:

      1. In an acid-base neutralization reaction, SO42−\text{SO}_4^{2-} ions are spectator ions and do not chemically react (i.e., their chemical form does not change).
      2. If the question implies the amount of SO42−\text{SO}_4^{2-} ions present in the volume of acid that reacted, then: Moles of SO42−\text{SO}_4^{2-} = Moles of H2SO4\text{H}_2\text{SO}_4 reacted. Moles of H2SO4\text{H}_2\text{SO}_4 reacted = Ca×VaC_a \times V_a (where VaV_a is the average volume of A used, in dm3\text{dm}^3). This calculation also requires the concentration of A (CaC_a) and the average volume of A used (VaV_a), which are not provided.
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