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13 September, 15:22

A sample was found to contain 8.15x10^27 atoms of nickel. What is the mass of this sample in kg?

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  1. 13 September, 18:32
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    mass of nickel is 794.6 Kg

    Explanation:

    Given dа ta:

    number of atoms of nickel = 8.15 x 10^27 atoms

    mass in Kg = ?

    Solution:

    We will solve this problem by using Avogadro number. The number 6.022*10∧23 is called Avogadro number and it is the number of atoms in one mole of substance.

    molar mass of nickel is 58.69 g/mol

    58.69 g nickel = one mole = 6.022*10∧23 atoms

    (58.69 g / 6.022*10∧23 atoms) * 8.15 x 10^27 atoms

    9.75 g * 10∧-23 * 8.15 x 10^27

    79.46 g * 10∧4

    Now we will convert grams into kilo grams by dividing this value on 1000.

    79.46 * 10∧4 / 1000 = 794.6 Kg
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