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Calculate how many molecules are there in 24.4g of magnesium Calculate how many molecules are there in 2 mols of calcium

Chemistry

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  1. Calculate how many molecules are there in 24.4g of magnesium
  1. Find the molar mass of magnesium (Mg).

    The atomic mass of magnesium (Mg) is $24.31 \, \text{g/mol}$.
    
  2. Convert the given mass of magnesium to moles.

    The formula for moles ($n$) is:
    $$
    n = \frac{\text{mass (m)}}{\text{molar mass (M)}}
    $$
    $$
    n = \frac{24.4 \, \text{g}}{24.31 \, \text{g/mol}}
    $$
    $$
    n \approx 1.0037 \, \text{mol}
    $$
    
  3. Calculate the number of molecules (atoms) using Avogadro's constant.

    Avogadro's constant ($N_A$) is $6.02 \times 10^{23} \, \text{particles/mol}$.  
    The number of molecules ($N$) is given by:
    $$
    N = n \times N_A
    $$
    $$
    N = 1.0037 \, \text{mol} \times 6.02 \times 10^{23} \, \text{atoms/mol}
    $$
    $$
    N \approx 6.042 \times 10^{23} \, \text{atoms}
    $$
    There are approximately $\boxed{\text{6.042} \times 10^{23} \text{ atoms}}$ in 24.4g of magnesium.
    

    2. Calculate how many molecules are there in 2 moles of calcium

  4. Calculate the number of molecules (atoms) using Avogadro's constant.

    Avogadro's constant ($N_A$) is $6.02 \times 10^{23} \, \text{particles/mol}$.  
    The number of molecules ($N$) is given by:
    $$
    N = n \times N_A
    $$
    $$
    N = 2 \, \text{mol} \times 6.02 \times 10^{23} \, \text{atoms/mol}
    $$
    $$
    N = 12.04 \times 10^{23} \, \text{atoms}
    $$
    $$
    N = 1.204 \times 10^{24} \, \text{atoms}
    $$
    There are $\boxed{\text{1.204} \times 10^{24} \text{ atoms}}$ in 2 moles of calcium.
    
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