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A sodium hydroxide solution is prepared by dissolving 80.0 g of sodium hydroxide (NaOH) pellets in 2 dm³ of water. What is the concentration of the solution?

Chemistry

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Answer

1.00 mol/dm31.00 \text{ mol/dm}^3

Step-by-step solution

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

    The atomic masses are: Na = 23.0 g/mol, O = 16.0 g/mol, H = 1.0 g/mol.

    Molar mass of NaOH=23.0+16.0+1.0=40.0 g/mol\text{Molar mass of NaOH} = 23.0 + 16.0 + 1.0 = 40.0 \text{ g/mol}
  2. Calculate the number of moles of NaOH.

    Moles=MassMolar mass\text{Moles} = \frac{\text{Mass}}{\text{Molar mass}} Moles of NaOH=80.0 g40.0 g/mol=2.00 mol\text{Moles of NaOH} = \frac{80.0 \text{ g}}{40.0 \text{ g/mol}} = 2.00 \text{ mol}
  3. Calculate the concentration of the solution.

    The volume of the solution is given as 2 dm32 \text{ dm}^3.

    Concentration=Moles of soluteVolume of solution\text{Concentration} = \frac{\text{Moles of solute}}{\text{Volume of solution}} Concentration=2.00 mol2 dm3=1.00 mol/dm3\text{Concentration} = \frac{2.00 \text{ mol}}{2 \text{ dm}^3} = 1.00 \text{ mol/dm}^3

    The concentration of the solution is 1.00 mol/dm31.00 \text{ mol/dm}^3.

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