Calculate the number of moles of cacl2 that can obtained from 25g of CaCO3 in the presence of excess acid HCL CaCO3 + HCl - CaCl + H20 + CO2

Chemistry

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Answer

0.250 mol0.250 \text{ mol}

Step-by-step solution

4 steps
  1. Balance the chemical equation.

    The given unbalanced equation is:
    CaCO3+HCl→CaCl2+H2O+CO2\text{CaCO}_3 + \text{HCl} \rightarrow \text{CaCl}_2 + \text{H}_2\text{O} + \text{CO}_2

    To balance the chlorine atoms, we need 2 molecules of HCl\text{HCl}. This also balances the hydrogen atoms.
    The balanced equation is:

    CaCO3+2HCl→CaCl2+H2O+CO2\text{CaCO}_3 + 2\text{HCl} \rightarrow \text{CaCl}_2 + \text{H}_2\text{O} + \text{CO}_2
  2. Calculate the molar mass of CaCO3\text{CaCO}_3.

    Atomic masses: Ca = 40.08 g/mol, C = 12.01 g/mol, O = 16.00 g/mol.
    Molar mass of CaCO3=40.08+12.01+(3×16.00)=40.08+12.01+48.00=100.09 g/mol\text{CaCO}_3 = 40.08 + 12.01 + (3 \times 16.00) = 40.08 + 12.01 + 48.00 = 100.09 \text{ g/mol}.

  3. Calculate the number of moles of CaCO3\text{CaCO}_3.

    Given mass of CaCO3=25 g\text{CaCO}_3 = 25 \text{ g}.

    Moles of CaCO3=MassMolar mass=25 g100.09 g/mol≈0.2498 mol\text{Moles of CaCO}_3 = \frac{\text{Mass}}{\text{Molar mass}} = \frac{25 \text{ g}}{100.09 \text{ g/mol}} \approx 0.2498 \text{ mol}
  4. Use the mole ratio from the balanced equation to find the moles of CaCl2\text{CaCl}_2.

    From the balanced equation, 1 mole of CaCO3\text{CaCO}_3 produces 1 mole of CaCl2\text{CaCl}_2.
    Therefore, the number of moles of CaCl2\text{CaCl}_2 obtained is equal to the number of moles of CaCO3\text{CaCO}_3.

    Moles of CaCl2=Moles of CaCO3=0.2498 mol\text{Moles of CaCl}_2 = \text{Moles of CaCO}_3 = 0.2498 \text{ mol}

    The number of moles of CaCl2\text{CaCl}_2 that can be obtained is approximately 0.250 mol\boxed{0.250 \text{ mol}}.

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