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

Chemistry

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Answer

0.30 mol\text{0.30 mol}

Step-by-step solution

2 steps
  1. Convert the volume from cm3^3 to dm3^3.

    There are 1000 cm3^3 in 1 dm3^3.

    Volume=200 cm3×1 dm31000 cm3=0.200 dm3\text{Volume} = 200 \text{ cm}^3 \times \frac{1 \text{ dm}^3}{1000 \text{ cm}^3} = 0.200 \text{ dm}^3
  2. Calculate the number of moles using the formula

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

    Given concentration = 1.5 mol dm−31.5 \text{ mol dm}^{-3}
    Given volume = 0.200 dm30.200 \text{ dm}^3

    Moles of HCl=1.5 mol dm−3×0.200 dm3\text{Moles of HCl} = 1.5 \text{ mol dm}^{-3} \times 0.200 \text{ dm}^3 Moles of HCl=0.30 mol\text{Moles of HCl} = 0.30 \text{ mol}

    The number of moles of acid present is 0.30 mol\text{0.30 mol}.

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