How many sodium atoms are there in 6.0 g of #Na_3N#?

Question

Caleb Adams · Accepted Answer

#"Moles of sodium"# #=# #3xx"moles of sodium nitride"#

#"Moles of sodium nitride"# #=# #(6.0*g)/(82.99*g*mol^-1)#

Consequently, the quantity of sodium atoms (or sodium ions, if less):

#(6.0*g)/(82.99*g*mol^-1)xxN_Axx3#, where #N_A=6.022xx10^23*mol^-1#

i.e. #3xx(6.0*g)/(82.99*g*mol^-1)xx6.022xx10^23*mol^-1#. We get an actual number, without units, as required.

Olivia Anton · Answer

undefined In order to determine how many sodium atoms are in 6.0 g of Na3N, we must first determine the molar mass of Na3N, which is 65 grams per mole (22.99 g/mol for Na multiplied by 3, plus 14.01 g/mol for N). Next, we convert the mass of Na3N to moles using Avogadro's number, which is roughly $6.022 \times 10^{23}$ atoms/mol. Finally, we multiply the number of moles by Avogadro's number to determine the number of sodium atoms: $$6.0 \text{ g} \times \frac{1 \text{ mol}}{65 \text{ g}} \times 6.022 \times 10^{23} \text{ atoms/mol}$$ $$= \frac{6.0 \times 6.022 \times 10^{23}}{65}$$ $$= 5.54 \times 10^{23}$$ sodium atoms.

HIX Tutor · Answer

undefined Great question! Let’s break it down step by step.

1. **Find the formula for sodium nitride.**  
   Do you know what Na and N stand for?

2. **Count the sodium atoms in Na3N.**  
   If there are 3 Na (sodium) in Na3N, how many sodium atoms are in one formula unit?

3. **Calculate the molar mass of Na3N.**  
   Do you know how to calculate mass? The molar mass of sodium (Na) is about 23 g/mol. What about nitrogen (N)? It's about 14 g/mol.

4. **Calculate Na3N's total molar mass.**  
   So for Na3N, you do:  
   - Sodium: 3 × 23 g/mol = ?  
   - Nitrogen: 1 × 14 g/mol = ?  
   Add these two results together. What do you get?

5. **Find moles in 6.0 g of Na3N.**  
   Use the formula: Moles = mass (g) / molar mass (g/mol).  
   You have 6.0 g and just calculated the molar mass. Can you divide them?

6. **Calculate sodium atoms from moles.**  
   Once you find the number of moles of Na3N, remember, each mole of Na3N has 3 moles of Na. So, how many moles of Na do you have?

7. **Convert moles of Na to atoms.**  
   Use Avogadro's number (about 6.02 x 10^23 atoms/mol). Multiply the moles of Na by this number. What do you find?

What do you think each step means?