1.27 × 10²⁴ atoms of nickel are contained in 2.11 moles of nickel. For every mole of a substance there are 6.022 × 10²³ representative particles of that substance. The amount of particles in one mole of substance is called Avogadro's number.
To convert from the number of moles to number of representative particles, the formula below may be used:
[tex]\boxed {no. \ of \ particles \ = given \ no. \ of \ moles \times \frac{6.022 \times 10^{23} \ particles}{1 \ mole}}[/tex]
For this problem, the number of nickel atoms can be determined by plugging in the given values in the equation above:
[tex]no. \ of \ Ni \ atoms = 2.11 \ mol \ Ni \times \frac{6.022 \times 10^{23} Ni \ atoms}{1 \ mol \ Ni}\\\\\boxed {no. \ of \ Ni \ atoms = 1.270642 \times 10^{24} \ atoms}[/tex]
Since the given only has three significant figures, the final answer with the correct number of significant figures is:
[tex]\boxed {\boxed {no. \ of \ Ni \ atoms = 1.27 \times 10^{24} \ atoms}}[/tex]
Keywords: moles conversion, Avogadro's number
