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29 July, 12:12

Find the number of atoms in 0.470 g of Ca (20Ca40 and 1 amu = 1.66 X 10-24 g) (You can also use the Avogadro's number 6.022 X 1023).

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  1. 29 July, 12:27
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    In 0.470 grams of Calcium, there are 7.05 * 10^21 Ca atoms

    Explanation:

    Step 1: Data given

    We have 0.470 grams of Calcium (Ca)

    Calcium has a molar mass of 40.08 amu

    Avogadro's number, is the number of units in one mole of any substance and is equal to 6.022 * 10^23

    Step 2: Calculate number of moles of Calcum

    Number of moles of calcium = mass of Calcium / Molar mass of calcium

    Number of moles of calcium = 0.470 grams / 40.08 g/mole = 0.0117 moles

    Step 3 : Calculate number of atoms

    Since the Avogadro's number says that there are 6.022 * 10^23 atoms in 1 mole

    This means that in 0.0117 moles of Calcium, we have 0.0117 * 6.022 * 10^23 = 7.05 * 10^21 atoms

    In 0.470 grams of Calcium, there are 7.05 * 10^21 Ca atoms
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