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Calculate the concentration of anhydrous sodium carbonate ( extNa2 extCO3) given a mass of 1.25 g dissolved in 250 cm3 of solution. Atomic masses: Na=23, C=12, O=16.

Chemistry

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Answer

0.0472 mol/dm3\text{0.0472 mol/dm}^3

Step-by-step solution

4 steps

To calculate the concentration of anhydrous sodium carbonate, we first need its molar mass and the number of moles. Since no specific mass is provided in Table 1, we will assume a mass within the given range of 1.20 g to 1.30 g. Let's assume the mass of sodium carbonate weighed is 1.25 g.

  1. Calculate the molar mass of anhydrous sodium carbonate (Na2CO3\text{Na}_2\text{CO}_3).

    The atomic masses are given as Na = 23, C = 12, O = 16.

    M(Na2CO3)=(2×M(Na))+M(C)+(3×M(O))M(\text{Na}_2\text{CO}_3) = (2 \times M(\text{Na})) + M(\text{C}) + (3 \times M(\text{O})) M(Na2CO3)=(2×23)+12+(3×16)M(\text{Na}_2\text{CO}_3) = (2 \times 23) + 12 + (3 \times 16) M(Na2CO3)=46+12+48M(\text{Na}_2\text{CO}_3) = 46 + 12 + 48 M(Na2CO3)=106 g/molM(\text{Na}_2\text{CO}_3) = 106 \text{ g/mol}
  2. Calculate the number of moles of sodium carbonate.

    We assume the mass of sodium carbonate weighed is 1.25 g.

    Moles=MassMolar mass\text{Moles} = \frac{\text{Mass}}{\text{Molar mass}} Moles of Na2CO3=1.25 g106 g/mol\text{Moles of Na}_2\text{CO}_3 = \frac{1.25 \text{ g}}{106 \text{ g/mol}} Moles of Na2CO3≈0.011792 mol\text{Moles of Na}_2\text{CO}_3 \approx 0.011792 \text{ mol}
  3. Convert the volume of the solution to dm3^3.

    The solution is made up to 250 cm3^3.

    1 dm3=1000 cm31 \text{ dm}^3 = 1000 \text{ cm}^3 Volume=250 cm31000 cm3/dm3\text{Volume} = \frac{250 \text{ cm}^3}{1000 \text{ cm}^3/\text{dm}^3} Volume=0.250 dm3\text{Volume} = 0.250 \text{ dm}^3
  4. Calculate the concentration of sodium carbonate.

    Concentration=MolesVolume\text{Concentration} = \frac{\text{Moles}}{\text{Volume}} Concentration of Na2CO3=0.011792 mol0.250 dm3\text{Concentration of Na}_2\text{CO}_3 = \frac{0.011792 \text{ mol}}{0.250 \text{ dm}^3} Concentration of Na2CO3≈0.047168 mol/dm3\text{Concentration of Na}_2\text{CO}_3 \approx 0.047168 \text{ mol/dm}^3

    Rounding to three significant figures:

    Concentration of Na2CO3≈0.0472 mol/dm3\text{Concentration of Na}_2\text{CO}_3 \approx 0.0472 \text{ mol/dm}^3

    The concentration in mol dm−3^{-3} of the anhydrous sodium carbonate is approximately 0.0472 mol/dm3\boxed{\text{0.0472 mol/dm}^3}.

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