Answer:
[tex]\boxed {\boxed {\sf 592,826,303.6 \ moles \ of \ Ca }}[/tex]
Explanation:
To convert from moles to particles, we must Avogadro's Number.
[tex]6.022*10^{23}[/tex]
This number tells us the number of particles (atoms, ions, molecules, etc.) in 1 mole of a substance. In this case, it is the particles of calcium in 1 mole of calcium.
[tex]6.022*10^{23} \ particles \ Ca / mole \ Ca[/tex]
We can use Avogadro's Number as a ratio or fraction.
[tex]\frac{6.022 *10^{23} \ particles \ Ca}{1 \ mol \ Ca}[/tex]
Multiply this by the given number of particles (3.57*10³²).
[tex]3.57*10^{32} \ particles \ Ca*\frac{6.022 *10^{23} \ particles \ Ca}{1 \ mol \ Ca}[/tex]
Flip the fraction so the particles of calcium will cancel out.
[tex]3.57*10^{32} \ particles \ Ca*\frac{1 \ mol \ Ca}{6.022 *10^{23} \ particles \ Ca}[/tex]
[tex]3.57*10^{32} *\frac{1 \ mol \ Ca}{6.022 *10^{23} }[/tex]
[tex]\frac{3.57*10^{32} \ mol \ Ca}{6.022 *10^{23} }[/tex]
[tex]592826303.6 \ mol \ Ca[/tex]
There are 592,826,303.6 moles of calcium in 3.57*10³² particles of calcium.
