Answer:
There is 86.87 tons of CaO required and there will be 186.15 tons of calcium sulfite produced.
Explanation:
<u>Step 1: </u>The balanced equation
S(s) + O2(g) → SO2
(l)
SO2(g) + CaO(s) → CaSO3(s)
This means 1 mol S = 1 mol SO2 = 1 mol CaO = 1 mole CaSO3
<u>Step 2:</u> Given data
1 ton = 907.185Kg
Molar mass of sulfur = 32.065 g/mole
Molar mass of Calcium oxide = 56.078 g/mol
e
Molar mass of calcium sulfite = 120.17 g/mole
<u>Step 3:</u> Calculate mass of coal
2000 tons = 1802370 Kg
<u>Step 4: </u>Calculate mass of sulfur:
⇒ A particular coal contains 2.5% sulfur by mass.
1802370 Kg *2.5% = 45059.25 Kg = 45059250 grams
<u>Step 5:</u> Calculate moles of Sulfur
Moles of sulfur = mass of sulfur / Molar mass of sulfur
Moles sulfur = 45059250 grams / 32.065g/mole = 1405247.2 moles
This means there is also produced 1405247.2 moles of Calcium oxide ( CaO).
This means there is 1405247.2 * 56.078 = 78803452.5 grams = 78.803.4525 Kg = 86.8659 tons of CaO
<u>Step 6:</u> Calculate mass of Calcium sulfite
1405247.2 moles * 120.17 g/moles = 168868556.024 g =168868.556 kg = 186.15 tons
There is 86.87 tons of CaO required and there will be 186.15 tons of calcium sulfite produced.