Final answer:
From 0.500 mol of NaN3, 21.015 grams of nitrogen will be produced.
Step-by-step explanation:
According to the balanced equation:
2 NaN3 -> 2 Na + 3 N2
From the equation, we can see that 2 moles of NaN3 produce 3 moles of N2. So, in order to find how many moles of N2 will be produced from 0.500 mol of NaN3, we can set up a proportion:
(3 mol N2) / (2 mol NaN3) = (x mol N2) / (0.500 mol NaN3)
Solving for x, we can find that x = 0.750 mol N2.
To convert moles to grams, we can use the molar mass of nitrogen, which is 28.02 g/mol. So, the mass of nitrogen produced would be:
0.750 mol N2 × 28.02 g/mol = 21.015 g
Therefore, the mass in grams of nitrogen produced from 0.500 mol of NaN3 is 21.015 grams.