9. convert each of the following from mole to number of particles.\na.) 32.45 mol cr₃(po₄)₂ = ____________…

9. convert each of the following from mole to number of particles.\na.) 32.45 mol cr₃(po₄)₂ = ____________ formula units cr₃(po₄)₂\nb.) 21.7 mol rn = ____________ rn atoms
Answer
Explanation:
Step1: Recall Avogadro's number
Avogadro's number ($N_A$) is $6.022\times 10^{23}$ particles per mole.
Step2: Calculate for $Cr_3(PO_4)_2$
To find the number of formula - units of $Cr_3(PO_4)_2$, multiply the number of moles by Avogadro's number. Number of formula units $=32.45\ mol\times6.022\times 10^{23}\ formula\ units/mol$ $=32.45\times6.022\times 10^{23}$ $ = 1.954039\times10^{25}$ formula units
Step3: Calculate for Rn
To find the number of Rn atoms, multiply the number of moles of Rn by Avogadro's number. Number of Rn atoms $=21.7\ mol\times6.022\times 10^{23}\ atoms/mol$ $=21.7\times6.022\times 10^{23}$ $=1.306774\times 10^{25}$ atoms
Answer:
a. $1.954039\times 10^{25}$ formula units $Cr_3(PO_4)_2$ b. $1.306774\times 10^{25}$ Rn atoms