Answer:
[tex]\boxed {\boxed {\sf 8.07 *10^{24} \ particles}}[/tex]
Explanation:
To convert from moles to representative particles, Avogadro's number: 6.02*10²³ is used. This number tells us the amount of particles in 1 mole of a substance. We can use it as a ratio.
[tex]\frac {6.02*10^{23} \ particles}{1 \ mol \ CO_2}}[/tex]
Multiply by the given number of moles.
[tex]13.4 \ mol \ CO_2 *\frac {6.02*10^{23} \ particles}{1 \ mol \ CO_2}}[/tex]
The moles of carbon dioxide will cancel out.
[tex]13.4 *\frac {6.02*10^{23} \ particles}{1}}[/tex]
The denominator of 1 can be ignored and this becomes a simple multiplication problem.
[tex]13.4 * {6.02*10^{23} \ particles[/tex]
[tex]8.0668*10^{24} \ particles[/tex]
The original number of moles has 3 significant figures, so our answer must have the same. For the number we calculated, that is the hundredth place. The 6 in the thousandth place tells us round the 6 to a 7.
[tex]8.07 *10^{24} \ particles[/tex]
13.4 moles of carbon dioxide has approximately 8.07*10²⁴ particles.
