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  • Calculating the Number of Molecules in a Given Mass of Carbon Tetrachloride (CCl₄)
    The molar mass of carbon tetrachloride (CCl₄) is 153.82 g/mol. This means that 1 mole of CCl₄ weighs 153.82 grams.

    To calculate the number of molecules in 6.32 mg of CCl₄, we first need to convert the mass to moles:

    $$n = \frac{m}{M}$$

    $$= \frac{6.32 \times 10^{-3} g}{153.82 g/mol}$$

    $$= 4.105 \times 10^{-5} mol$$

    We then use Avogadro's number (6.022 × 10^23 molecules/mol) to convert moles to molecules:

    $$N = nN_A$$

    $$= 4.105 \times 10^{-5} mol \times 6.022 \times 10^{23} molecules/mol$$

    $$= 2.476 \times 10^{19} molecules$$

    Therefore, there are 2.476 × 10^19 molecules of carbon tetrachloride in 6.32 mg of that compound.

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