Answer:
[tex]\boxed {\boxed {\sf 9.63 \ mol \ Na_2SO_3}}[/tex]
Explanation:
To convert from molecules to moles, Avogadro's Number: 6.02*10²³ must be used. This number is the amount of particles (molecules, atoms, etc.) in 1 mole of a substance. In this case, the particles are molecules of sodium sulfate. Let's create a proportion.
[tex]\frac{ 6.022 *10^{23} \ molecules \ Na_2SO_3}{1 \ mol \ Na_2SO_3}[/tex]
Multiply by the given number of molecules.
[tex]5.80 *10^{24} \ molecules \ Na_2SO_3 *\frac{ 6.022 *10^{23} \ molecules \ Na_2SO_3}{1 \ mol \ Na_2SO_3}[/tex]
Flip the fraction so the molecules of sodium sulfate cancel.
[tex]5.80 *10^{24} \ molecules \ Na_2SO_3 *\frac{ 1 \ mol \ Na_2SO_3}{6.022 *10^{23} \ molecules \ Na_2SO_3}[/tex]
[tex]5.80 *10^{24} *\frac{ 1 \ mol \ Na_2SO_3}{6.022 *10^{23}}[/tex]
[tex]\frac{ 5.80 *10^{24} \ mol \ Na_2SO_3}{6.022 *10^{23}}[/tex]
Divide.
[tex]9.63135171 \ mol \ Na_2SO_3[/tex]
The original measurement has 3 significant figures (5, 8, and 0), so our answer must have the same.
For the number we calculated that is the hundredth place. The 1 in the thousandth place tells us to leave the 3.
[tex]9.63 \ mol \ Na_2SO_3[/tex]
There are about 9.63 moles of sodium sulfate
