How many atoms are in 10.4 mol of CI?

Question

asked Nov 12, 2021 225k views

2 Answers

Raymond · Answer 1 · 2021-11-18T13:20:18+0000

Answer:

$\boxed {\boxed {\sf 6.26 * 10^(24) \ atoms }}$

Step-by-step explanation:

To convert from moles to atoms, we must use a number called Avogadro's Number which is:

6.022*10^(23)

This number tells us the amount of atoms in a mole.

$1 \ mole = 6.022*10^(23) \ atoms$

To convert from moles to atoms, we must multiply Avogadro's number by the amount of moles.

We know there are 10.4 moles of Chlorine. Multiply 10.4 (molar amount) by 6.022 * 10²³ (Avogadro's Number)

$10.4 \ mol *(6.022*10^(23) \ atoms )/( 1 \ mole)$

$10.4 * 6.022*10^(23) \ atoms$

$1 \ mole = 6.022*10^(23) \ atoms$

$6.26288 * 10^(24) \ atoms$

Let's round to 3 significant figures, because the original measurement 10.4, has 3 sig figs (1, 0, and 4)

For the number 6.26288, 3 significant figures is the hundredths place. The 2 in the thousandth place tells us to keep the 6 in the hundredths place.

$6.26 * 10^(24) \ atoms$

There are about 6.26 × 10²⁴ atoms in 10.4 moles of chlorine.