Final answer:
The mass of 3.46 moles of sodium sulfide is calculated by multiplying the moles by the molar mass of sodium sulfide (Na2S), resulting in a final mass of 270 grams.
Step-by-step explanation:
To find the mass of 3.46 moles of sodium sulfide (Na2S), we need to calculate the molar mass of sodium sulfide. The molar mass is the sum of the atomic masses of sodium (Na) and sulfur (S). Sodium has an atomic mass of approximately 23 g/mol, and sulfur has an atomic mass of approximately 32 g/mol. Since there are two sodium atoms in sodium sulfide, we double the atomic mass of sodium before adding it to the atomic mass of sulfur, which gives us:
Molar mass of Na2S = (2 × 23 g/mol) + 32 g/mol = 78 g/mol
Now, to convert moles to grams, we use the molar mass as a conversion factor:
Mass of Na2S = 3.46 moles × 78 g/mol = 269.88 grams
Thus, using significant figures, the final mass of sodium sulfide corresponding to 3.46 moles is 270 grams.