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  • Calculating Atoms in Carbon: A Step-by-Step Guide
    To calculate the number of atoms in 55mg of carbon, we need to determine the number of moles of carbon present and then multiply it by Avogadro's number (6.022 x 10^23 atoms/mole).

    1. Convert the mass of carbon from milligrams (mg) to grams (g):

    55 mg = 0.055 g

    2. Calculate the number of moles of carbon using the molar mass of carbon (C = 12.01 g/mol):

    Moles of carbon = mass / molar mass

    Moles of carbon = 0.055 g / 12.01 g/mol

    Moles of carbon = 0.00458 mol

    3. Multiply the number of moles of carbon by Avogadro's number to obtain the number of atoms:

    Number of atoms = moles × Avogadro's number

    Number of atoms = 0.00458 mol × 6.022 x 10^23 atoms/mol

    Number of atoms = 2.76 x 10^22 atoms

    Therefore, there are approximately 2.76 x 10^22 atoms in 55mg of carbon.

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