Question

How many moles are in 3.57 x 10 32
particles Ca?

Answer 1

`\boxed {\boxed {\sf 592,826,303.6 \ moles \ of \ Ca }}`

Step-by-step explanation:

To convert from moles to particles, we must Avogadro's Number.

`6.022*10^(23)`

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.

`6.022*10^(23) \ particles \ Ca / mole \ Ca`

We can use Avogadro's Number as a ratio or fraction.

`(6.022 *10^(23) \ particles \ Ca)/(1 \ mol \ Ca)`

Multiply this by the given number of particles (3.57*10³²).

`3.57*10^(32) \ particles \ Ca*(6.022 *10^(23) \ particles \ Ca)/(1 \ mol \ Ca)`

Flip the fraction so the particles of calcium will cancel out.

`3.57*10^(32) \ particles \ Ca*(1 \ mol \ Ca)/(6.022 *10^(23) \ particles \ Ca)`

`3.57*10^(32) *(1 \ mol \ Ca)/(6.022 *10^(23) )`

`(3.57*10^(32) \ mol \ Ca)/(6.022 *10^(23) )`

`592826303.6 \ mol \ Ca`

There are 592,826,303.6 moles of calcium in 3.57*10³² particles of calcium.