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Determine the chemical formula and molar mass of lead(II) trioxonitrate(V).

Chemistry

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Answer

1.8 mol/dm3\text{1.8 mol/dm}^3

Step-by-step solution

4 steps

Let's calculate the solubility of lead(II) trioxonitrate(V).

  1. Determine the chemical formula and molar mass of lead(II) trioxonitrate(V).

    The chemical name lead(II) trioxonitrate(V) refers to lead(II) nitrate, Pb(NO₃)₂.
    We need the atomic masses: Pb = 207 g/mol, N = 14 g/mol, O = 16 g/mol.
    Molar mass of Pb(NO₃)₂ = Pb + (2 × N) + (6 × O)
    Molar mass = 207 g/mol + (2 × 14 g/mol) + (6 × 16 g/mol)
    Molar mass = 207 g/mol + 28 g/mol + 96 g/mol
    Molar mass of Pb(NO₃)₂ = 331 g/mol

  2. Calculate the number of moles of lead(II) trioxonitrate(V).

    Moles = mass / molar mass
    Moles of Pb(NO₃)₂ = 12.2 g / 331 g/mol
    Moles of Pb(NO₃)₂ ≈ 0.03686 mol

  3. Convert the mass of water to volume in dm³.

    We assume the density of water is 1 g/mL (or 1 g/cm³).
    Volume of water = mass / density
    Volume of water = 21 g / (1 g/mL) = 21 mL
    To convert mL to dm³: 1 dm³ = 1000 mL
    Volume of water = 21 mL × (1 dm³ / 1000 mL)
    Volume of water = 0.021 dm³

  4. Calculate the solubility in mol dm⁻³.

    Solubility = moles of solute / volume of solvent (in dm³)
    Solubility = 0.03686 mol / 0.021 dm³
    Solubility ≈ 1.755 mol/dm³
    Rounding to two significant figures (based on the given mass of 21 g of water):

    Solubility=1.8 mol/dm3\text{Solubility} = \boxed{\text{1.8 mol/dm}^3}
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