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

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