A crude oil burned in electrical generating plants contains about 1.2 % sulfur by mass. When the oil burns, the sulfur forms sulfur dioxide gas: S (s) + O2 (g) = SO2 (g). How many liters of SO2 (d=2.60 g/L) are produced when 1.00X 10 to the 4th kg of oil burns at the same temperature and pressure?

Multiply 1.00*10^4 kg by 0.012 to get the mass of sulfur burned. Convert ot to grams by multiplying by 1000.

M(S) = 1.20*10^5 g

The mass of SO2 formed is twice the mass of the S burned, because one S atom and two O atoms both weigh the same.

Divide the mass of SO2 formed by 2.60 g/L to get the number of liters of SO2 formed.

Step 1. Write the balanced equation. You have that.

Step 2. Convert 1.00 x 10^4 kg oil to grams S (it's 1.2% S by mass).

Step 3. Convert g S to mols S.

Step 4. Using the coefficient in the balanced equation, convert mols S to mols SO2.

Step 5. Convert mols SO2 to grams SO2 from mols SO2 x molar mass SO2 = g SO2.

Step 6. Using the density, convert g SO2 to liters SO2. (There is no pressure or temperature listed in the problem; therefore, I assume the problem intends for you to calculate liters SO2 at the temperature and pressure for which the density is given.).

.092L

46,153.84615

To find the number of liters of SO2 produced, we need to follow these steps:

Step 1: Calculate the mass of sulfur in the oil burned.
Given that the oil contains about 1.2% sulfur by mass, we can calculate the mass of sulfur using the mass of the oil burned.
Mass of Sulfur = (1.2/100) * Mass of Oil burned

Step 2: Calculate the number of moles of sulfur.
Using the molar mass of sulfur (32.06 g/mol), we can convert the mass of sulfur to moles.
Number of moles of Sulfur = Mass of Sulfur / Molar mass of Sulfur

Step 3: Use stoichiometry to determine the number of moles of SO2 produced.
From the balanced equation, we can see that one mole of sulfur reacts with one mole of oxygen to produce one mole of SO2.

Step 4: Convert the number of moles of SO2 to liters.
Using the given density of SO2, we can calculate the volume in liters using the equation:
Volume (L) = Number of moles of SO2 / Density of SO2

Let's plug in the values and calculate the answer:

Step 1:
Mass of Sulfur = (1.2/100) * 1.00 * 10^4 kg = 1.2 * 10^2 kg

Step 2:
Molar mass of Sulfur (S) = 32.06 g/mol
Number of moles of Sulfur = (1.2 * 10^2 kg / 1000 g) / (32.06 g/mol)

Step 3:
From the balanced equation, we know that the stoichiometric ratio of Sulfur to SO2 is 1:1. Therefore, the number of moles of SO2 produced will be the same as the number of moles of Sulfur.

Step 4:
Density of SO2 = 2.60 g/L
Volume (L) = Number of moles of SO2 / Density of SO2

Now, let's calculate the answer.