Calculate what mass of carbon disulfide molecules contains the same number of sulfur atoms as 100.0 g of sodium sulfate.
moles Na2SO4 = 100 g/molar mass Na2SO4 = xx
1 mole S atoms in 1 mole Na2SO4; xx moles S in xx moles Na2SO4.
I'll let you take it from here.
To calculate the mass of carbon disulfide (CS2) molecules that contain the same number of sulfur atoms as 100.0 g of sodium sulfate (Na2SO4), we need to first determine the number of sulfur atoms in 100.0 g of sodium sulfate.
Step 1: Find the molar mass of sodium sulfate (Na2SO4)
The molar mass of sodium (Na) = 22.99 g/mol
The molar mass of sulfur (S) = 32.07 g/mol
The molar mass of oxygen (O) = 16.00 g/mol
Therefore, the molar mass of sodium sulfate (Na2SO4) = (2 * 22.99 g/mol) + 32.07 g/mol + (4 * 16.00 g/mol) = 142.04 g/mol
Step 2: Determine the molar ratio of sulfur in sodium sulfate
From the chemical formula of sodium sulfate (Na2SO4), we can see that there are 1 sulfur atom.
So, the molar ratio of sulfur to sodium sulfate is 1:1.
Step 3: Calculate the number of moles of sodium sulfate
To find the number of moles of sodium sulfate, we need to divide the given mass by the molar mass.
Number of moles of Na2SO4 = mass / molar mass = 100.0 g / 142.04 g/mol = 0.704 mol
Step 4: Calculate the number of moles of sulfur
Since the molar ratio of sulfur in sodium sulfate is 1:1, the number of moles of sulfur is equal to the number of moles of sodium sulfate.
Number of moles of sulfur = 0.704 mol
Step 5: Calculate the mass of carbon disulfide containing the same number of sulfur atoms
The molar mass of carbon disulfide (CS2) = (12.01 g/mol) + (2 * 32.07 g/mol) = 76.14 g/mol
Now, we can use the molar mass of carbon disulfide and the number of moles of sulfur to calculate the mass of carbon disulfide.
Mass of carbon disulfide = molar mass × number of moles of sulfur = 76.14 g/mol × 0.704 mol ≈ 53.64 g
Therefore, the mass of carbon disulfide molecules containing the same number of sulfur atoms as 100.0 g of sodium sulfate is approximately 53.64 grams.