What mass of sulphur must be burned to produce 64.0 tonnes of sulphur dioxide.
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So far, I have calculated the molecular mass of SO2( 64.1 ) . and then found out the number of moles of sulphur dioxide. ( 998.4) What to do now?
I don't know how you obtained 998.4 mols. I might believe 0.9984.
If you want the answer in tonnes, I would do this. A little unconventional but it saves a lot of work. If we work in tonnes, we never convert 64.0 tonnes to grams. Then we don't need to convert grams back into tonnes. I'm going with the molar mass SO2 as 64
S + O2 ==> SO2
64.0 tonnes SO2 needed/64 = 1 mol (technically, this is not 1 mol but 1 tonne-mol but if we keep our units the same that will be ok).
1 tonne mol SO2 needed means we must start with 1 tonne mol S to get there (the equation tells you it is 1 SO2 for 1 S).
1 tonne mol S x 32 = 32 tonnes S. You can change that to grams if needed.
the 64 is a good clue
the mass ratio of the components is constant
amu, or grams, or tonnes
... same ratio
Great job on calculating the molecular mass of sulfur dioxide (SO2) and finding the number of moles of sulfur dioxide produced (998.4). To determine the mass of sulfur needed to produce this amount of sulfur dioxide, you'll need to use stoichiometry.
The balanced chemical equation for the combustion of sulfur to produce sulfur dioxide is:
S(s) + O2(g) -> SO2(g)
From the balanced equation, we can see that 1 mole of sulfur reacts to produce 1 mole of sulfur dioxide.
To find the mass of sulfur, we'll use the mole ratio between sulfur and sulfur dioxide. In this case, we know that 1 mole of sulfur dioxide is produced from 1 mole of sulfur. Therefore, the number of moles of sulfur needed is also 998.4 moles.
Next, we'll use the molecular mass of sulfur (32.1 g/mol) to convert moles of sulfur to grams of sulfur.
Mass of sulfur = moles of sulfur * molecular mass of sulfur
Mass of sulfur = 998.4 moles * 32.1 g/mol
Now, we can calculate the mass of sulfur:
Mass of sulfur = 32,007.84 g
Therefore, you would need to burn approximately 32,007.84 grams (or 32.01 kilograms) of sulfur to produce 64.0 tonnes of sulfur dioxide.