Mr.drwls help me to check if my answer is c0rrect,tnx anyways, what is the mass of calcium carbonate is required to react with sulfur dioxide produced by burning 1000 kgs of coal that contain 5% sulfur by mass? (0.781 kmole)(100kg/mole)=78.1 kg
I agree with 78.1 kg CaCO3.
Tnx Dr.B!
To check if your answer is correct, we need to perform some calculations. Let's go step by step.
First, we need to calculate the amount of sulfur dioxide produced by burning 1000 kg of coal that contains 5% sulfur by mass.
Given:
Mass of coal = 1000 kg
Percentage of sulfur in coal = 5%
To find the mass of sulfur in the coal, we can use the formula:
Mass of sulfur = (Percentage of sulfur/100) x Mass of coal
Mass of sulfur = (5/100) x 1000 kg
Mass of sulfur = 50 kg
Next, we need to determine the amount of sulfur dioxide produced by the sulfur. This can be done by considering the balanced chemical equation for the reaction between sulfur and oxygen to form sulfur dioxide:
S + O2 -> SO2
From the balanced equation, we know that one mole of sulfur reacts with one mole of oxygen to produce one mole of sulfur dioxide.
The molar mass of sulfur is 32.06 g/mol, so the number of moles of sulfur is:
Number of moles of sulfur = Mass of sulfur / Molar mass of sulfur
Number of moles of sulfur = 50 kg / (32.06 g/mol)
To convert from grams to kilograms, we need to divide the molar mass by 1000. Therefore:
Number of moles of sulfur = 50 kg / (0.03206 kg/mol)
Number of moles of sulfur = 1560.55 kmol
Finally, we can calculate the mass of calcium carbonate required to react with this amount of sulfur dioxide.
Given:
Amount of sulfur dioxide = 1560.55 kmol
From the balanced chemical equation for the reaction between sulfur dioxide and calcium carbonate:
CaCO3 + SO2 -> CaSO3 + CO2
We can see that one mole of calcium carbonate reacts with one mole of sulfur dioxide.
Assuming the molar mass of calcium carbonate is 100 g/mol, we can convert the amount of sulfur dioxide to mass using the formula:
Mass of calcium carbonate = Amount of sulfur dioxide x Molar mass of calcium carbonate
Mass of calcium carbonate = 1560.55 kmol x (100 kg/kmol)
Mass of calcium carbonate = 156,055 kg
Therefore, the mass of calcium carbonate required to react with the sulfur dioxide produced by burning 1000 kg of coal containing 5% sulfur by mass is approximately 156,055 kg.
Now, let's compare this result with your answer of 78.1 kg. It seems that there might have been an error in your calculation.