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14 January, 09:45

The density of water is 1.00g/ml at 4 degrees Celsius. How many water molecules are present in 2.56ml of water at this temperature?

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  1. 14 January, 10:31
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    8.55x10^22 molecules

    Explanation:

    From the question given, the following data were obtained:

    Density = 1g/mL

    Volume = 2.56mL

    Mass = ?

    Density = Mass / volume

    Mass = Density x volume

    Mass = 1 x 2.56

    Mass = 2.56g

    Now let us convert this mass (i. e 2.56g) of water to mole

    Molar Mass of H2O = (2x1) + 16 = 2 + 16 = 18g/mol

    Mass of H2O = 2.56g

    Number of mole of H2O=? Number of mole = Mass / Molar Mass

    Number of mole of H2O = 2.56/18

    Number of mole of H2O = 0.142mol

    From Avogadro's hypothesis, 1mole of any substance contains 6.02x10^23 molecules. This means that 1mole of H2O contains 6.02x10^23 molecules.

    Now if 1mole of H2O contains 6.02x10^23 molecules, then 0.142mol of H2O will contain = 0.142 x 6.02x10^23 = 8.55x10^22 molecules
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