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Write down the NAME or FORMULA of the substance that acts as an ampholyte in the above equations. Give a reason for the answer.

Chemistry

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8.1.1 Define a base in terms of the Lowry-Brønsted theory.
A base is a substance that acts as a proton acceptor.

8.1.2 Write down the NAME or FORMULA of the substance that acts as an ampholyte in the above equations. Give a reason for the answer.
Substance: HSO4−\boxed{\text{HSO}_4^-} (Hydrogen sulfate ion)
Reason: In equation II, HSO4−\text{HSO}_4^- donates a proton to H2O\text{H}_2\text{O} (acting as an acid). In the reverse of equation I, HSO4−\text{HSO}_4^- accepts a proton from H3O+\text{H}_3\text{O}^+ to form H2SO4\text{H}_2\text{SO}_4 (acting as a base).

8.2.1 Calculate the pH of this nitric acid solution.
Given: Concentration of HNO3=0.096 mol⋅dm−3\text{HNO}_3 = 0.096 \text{ mol}\cdot\text{dm}^{-3}.
HNO3\text{HNO}_3 is a strong acid, so it dissociates completely:

HNO3(aq)+H2O(l)→H3O+(aq)+NO3−(aq)\text{HNO}_3(\text{aq}) + \text{H}_2\text{O}(\text{l}) \rightarrow \text{H}_3\text{O}^+(\text{aq}) + \text{NO}_3^-(\text{aq})
  1. Determine the concentration of hydronium ions.

    Since HNO3\text{HNO}_3 is a strong acid, [H3O+]=[HNO3][\text{H}_3\text{O}^+] = [\text{HNO}_3].

    [H3O+]=0.096 mol⋅dm−3[\text{H}_3\text{O}^+] = 0.096 \text{ mol}\cdot\text{dm}^{-3}
  2. Calculate the pH.

    pH=−log⁡[H3O+]\text{pH} = -\log[\text{H}_3\text{O}^+] pH=−log⁡(0.096)\text{pH} = -\log(0.096) pH≈1.02\text{pH} \approx \boxed{1.02}

    8.2.2 Calculate the concentration of the EXCESS HNO3\text{HNO}_3 in the new solution.
    Balanced equation: 2HNO3(aq)+Na2CO3(aq)→2NaNO3(aq)+CO2(g)+H2O(l)2\text{HNO}_3(\text{aq}) + \text{Na}_2\text{CO}_3(\text{aq}) \rightarrow 2\text{NaNO}_3(\text{aq}) + \text{CO}_2(\text{g}) + \text{H}_2\text{O}(\text{l})
    Given:
    Volume of HNO3\text{HNO}_3 (VAV_A) = 50 cm3=0.050 dm350 \text{ cm}^3 = 0.050 \text{ dm}^3
    Concentration of HNO3\text{HNO}_3 (CAC_A) = 0.096 mol⋅dm−30.096 \text{ mol}\cdot\text{dm}^{-3}
    Volume of Na2CO3\text{Na}_2\text{CO}_3 (VBV_B) = 25 cm3=0.025 dm325 \text{ cm}^3 = 0.025 \text{ dm}^3
    Concentration of Na2CO3\text{Na}_2\text{CO}_3 (CBC_B) = 0.075 mol⋅dm−30.075 \text{ mol}\cdot\text{dm}^{-3}

  3. Calculate the initial moles of HNO3\text{HNO}_3.

    n(HNO3)initial=CA×VAn(\text{HNO}_3)_{\text{initial}} = C_A \times V_A n(HNO3)initial=(0.096 mol⋅dm−3)×(0.050 dm3)n(\text{HNO}_3)_{\text{initial}} = (0.096 \text{ mol}\cdot\text{dm}^{-3}) \times (0.050 \text{ dm}^3) n(HNO3)initial=0.0048 moln(\text{HNO}_3)_{\text{initial}} = 0.0048 \text{ mol}
  4. Calculate the initial moles of Na2CO3\text{Na}_2\text{CO}_3.

    n(Na2CO3)initial=CB×VBn(\text{Na}_2\text{CO}_3)_{\text{initial}} = C_B \times V_B n(Na2CO3)initial=(0.075 mol⋅dm−3)×(0.025 dm3)n(\text{Na}_2\text{CO}_3)_{\text{initial}} = (0.075 \text{ mol}\cdot\text{dm}^{-3}) \times (0.025 \text{ dm}^3) n(Na2CO3)initial=0.001875 moln(\text{Na}_2\text{CO}_3)_{\text{initial}} = 0.001875 \text{ mol}
  5. Determine the moles of HNO3\text{HNO}_3 that react with Na2CO3\text{Na}_2\text{CO}_3.

    From the balanced equation, the mole ratio HNO3:Na2CO3\text{HNO}_3 : \text{Na}_2\text{CO}_3 is 2:12:1.

    n(HNO3)reacted=2×n(Na2CO3)initialn(\text{HNO}_3)_{\text{reacted}} = 2 \times n(\text{Na}_2\text{CO}_3)_{\text{initial}} n(HNO3)reacted=2×0.001875 moln(\text{HNO}_3)_{\text{reacted}} = 2 \times 0.001875 \text{ mol} n(HNO3)reacted=0.00375 moln(\text{HNO}_3)_{\text{reacted}} = 0.00375 \text{ mol}

    Since n(HNO3)initial(0.0048 mol)>n(HNO3)reacted(0.00375 mol)n(\text{HNO}_3)_{\text{initial}} (0.0048 \text{ mol}) > n(\text{HNO}_3)_{\text{reacted}} (0.00375 \text{ mol}), HNO3\text{HNO}_3 is in excess.

  6. Calculate the moles of excess HNO3\text{HNO}_3.

    n(HNO3)excess=n(HNO3)initial−n(HNO3)reactedn(\text{HNO}_3)_{\text{excess}} = n(\text{HNO}_3)_{\text{initial}} - n(\text{HNO}_3)_{\text{reacted}} n(HNO3)excess=0.0048 mol−0.00375 moln(\text{HNO}_3)_{\text{excess}} = 0.0048 \text{ mol} - 0.00375 \text{ mol} n(HNO3)excess=0.00105 moln(\text{HNO}_3)_{\text{excess}} = 0.00105 \text{ mol}
  7. Calculate the total volume of the new solution.

    Vtotal=VA+VBV_{\text{total}} = V_A + V_B Vtotal=0.050 dm3+0.025 dm3V_{\text{total}} = 0.050 \text{ dm}^3 + 0.025 \text{ dm}^3 Vtotal=0.075 dm3V_{\text{total}} = 0.075 \text{ dm}^3
  8. Calculate the concentration of the excess HNO3\text{HNO}_3.

    C(HNO3)excess=n(HNO3)excessVtotalC(\text{HNO}_3)_{\text{excess}} = \frac{n(\text{HNO}_3)_{\text{excess}}}{V_{\text{total}}} C(HNO3)excess=0.00105 mol0.075 dm3C(\text{HNO}_3)_{\text{excess}} = \frac{0.00105 \text{ mol}}{0.075 \text{ dm}^3} C(HNO3)excess=0.014 mol⋅dm−3C(\text{HNO}_3)_{\text{excess}} = \boxed{\text{0.014 mol}\cdot\text{dm}^{-3}}
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