100cm³ of 0.1 mol/ dm³ of sodium hydroxide how do l measure that

Chemistry

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Answer

0.4 g0.4 \text{ g}

Step-by-step solution

3 steps

To prepare 100 cm³ of 0.1 mol/dm³ sodium hydroxide (NaOH) solution, you need to weigh out the correct mass of solid NaOH and then dissolve it to make up the final volume.

  1. Calculate the moles of NaOH needed.

    The formula for moles is: moles=concentration×volume\text{moles} = \text{concentration} \times \text{volume}
    Given:
    Concentration = 0.1 mol/dm30.1 \text{ mol/dm}^3
    Volume = 100 cm3=0.1 dm3100 \text{ cm}^3 = 0.1 \text{ dm}^3 (since 1 dm3=1000 cm31 \text{ dm}^3 = 1000 \text{ cm}^3)

    Moles of NaOH=0.1 mol/dm3×0.1 dm3\text{Moles of NaOH} = 0.1 \text{ mol/dm}^3 \times 0.1 \text{ dm}^3 Moles of NaOH=0.01 mol\text{Moles of NaOH} = 0.01 \text{ mol}
  2. Calculate the mass of NaOH needed.

    First, find the molar mass (MrM_r) of NaOH:
    Na = 23.0 g/mol
    O = 16.0 g/mol
    H = 1.0 g/mol
    Mr(NaOH)=23.0+16.0+1.0=40.0 g/molM_r(\text{NaOH}) = 23.0 + 16.0 + 1.0 = 40.0 \text{ g/mol}

    Now, use the formula: mass=moles×Mr\text{mass} = \text{moles} \times M_r

    Mass of NaOH=0.01 mol×40.0 g/mol\text{Mass of NaOH} = 0.01 \text{ mol} \times 40.0 \text{ g/mol} Mass of NaOH=0.4 g\text{Mass of NaOH} = \boxed{0.4 \text{ g}}

    So, you need 0.4 g of solid sodium hydroxide.

  3. Prepare the solution.

    • Weighing: Accurately weigh out 0.4 g of solid NaOH using a balance.
    • Dissolving: Transfer the weighed NaOH into a beaker. Add a small amount of distilled water (e.g., 20-30 cm³) to the beaker and stir with a glass rod until the NaOH completely dissolves. (Note: NaOH dissolving is exothermic, so the beaker might get warm).
    • Transferring: Carefully pour the NaOH solution from the beaker into a 100 cm³ volumetric flask.
    • Rinsing: Rinse the beaker and the glass rod several times with small amounts of distilled water, pouring each rinsing into the volumetric flask. This ensures all the NaOH is transferred.
    • Making up to volume: Add distilled water to the volumetric flask until the bottom of the meniscus reaches the 100 cm³ calibration mark. Use a dropping pipette for the final few drops to ensure accuracy.
    • Mixing: Stopper the volumetric flask and invert it several times to ensure the solution is thoroughly mixed.

    You will then have 100 cm³ of 0.1 mol/dm³ sodium hydroxide solution.

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