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Calculate the number of moles of acid in 200 cm3 of a 1.5 mol dm⁻³ solution.

Chemistry

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Answer

0.3 mol\text{0.3 mol}

Step-by-step solution

2 steps
  1. Convert the volume from cm3\text{cm}^3 to dm3\text{dm}^3.

    Given volume is 200 cm3200 \text{ cm}^3.
    Since 1 dm3=1000 cm31 \text{ dm}^3 = 1000 \text{ cm}^3, we convert the volume:

    Volume (in dm3)=200 cm31000 cm3/dm3=0.2 dm3\text{Volume (in dm}^3) = \frac{200 \text{ cm}^3}{1000 \text{ cm}^3/\text{dm}^3} = 0.2 \text{ dm}^3
  2. Calculate the number of moles using the formula

    Moles=Concentration×Volume\text{Moles} = \text{Concentration} \times \text{Volume}

    Given concentration is 1.5 mol dm−31.5 \text{ mol dm}^{-3}.

    Moles=1.5 mol dm−3×0.2 dm3\text{Moles} = 1.5 \text{ mol dm}^{-3} \times 0.2 \text{ dm}^3 Moles=0.3 mol\text{Moles} = 0.3 \text{ mol}

    The number of moles of acid present is 0.3 mol0.3 \text{ mol}.

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