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What is the concentration in moldm-3 of a solution which contains 2.50g of Calcium hydroxide per 500cm3? (Ca=40, O=16, H=1)

Chemistry

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Answer

0.0676 mol dm−30.0676 \text{ mol dm}^{-3}

Step-by-step solution

5 steps

To find the concentration in mol dm−3\text{mol dm}^{-3}, we need to calculate the number of moles of calcium hydroxide and the volume of the solution in dm3\text{dm}^3.

  1. Determine the chemical formula of Calcium hydroxide.

    Calcium hydroxide is Ca(OH)2\text{Ca(OH)}_2.

  2. Calculate the molar mass of Ca(OH)2\text{Ca(OH)}_2.

    Given atomic masses: Ca=40\text{Ca}=40, O=16\text{O}=16, H=1\text{H}=1.
    Molar mass of Ca(OH)2=Ca+2×(O+H)\text{Ca(OH)}_2 = \text{Ca} + 2 \times (\text{O} + \text{H})

    =40+2×(16+1)= 40 + 2 \times (16 + 1) =40+2×17= 40 + 2 \times 17 =40+34= 40 + 34 =74 g mol−1= 74 \text{ g mol}^{-1}
  3. Calculate the number of moles of Ca(OH)2\text{Ca(OH)}_2.

    Mass of Ca(OH)2=2.50 g\text{Ca(OH)}_2 = 2.50 \text{ g}
    Number of moles (nn) = Mass / Molar mass

    n=2.50 g74 g mol−1n = \frac{2.50 \text{ g}}{74 \text{ g mol}^{-1}} n≈0.03378 moln \approx 0.03378 \text{ mol}
  4. Convert the volume of the solution from cm3\text{cm}^3 to dm3\text{dm}^3.

    Given volume = 500 cm3500 \text{ cm}^3
    Since 1 dm3=1000 cm31 \text{ dm}^3 = 1000 \text{ cm}^3:
    Volume (VV) in dm3=500 cm31000 cm3 dm−3\text{dm}^3 = \frac{500 \text{ cm}^3}{1000 \text{ cm}^3 \text{ dm}^{-3}}

    V=0.500 dm3V = 0.500 \text{ dm}^3
  5. Calculate the concentration of the solution.

    Concentration (CC) = Number of moles / Volume

    C=0.03378 mol0.500 dm3C = \frac{0.03378 \text{ mol}}{0.500 \text{ dm}^3} C≈0.06756 mol dm−3C \approx 0.06756 \text{ mol dm}^{-3}

    Rounding to three significant figures:

    C≈0.0676 mol dm−3C \approx 0.0676 \text{ mol dm}^{-3}

    The concentration of the solution is 0.0676 mol dm−30.0676 \text{ mol dm}^{-3}.

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