I'll rewite the question to try and clarify the language and units:
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- What volume of 0.0200 mole/liter KMnO4 solution is required to oxidize 40.0 ml of 0.100mole/liter FeSO4 and sulfuric acid solution?
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I interpreted "moldm3" as moles/dm^3.
1 dm^3 is 1 liter
1 cm^3 is 1 ml.
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Assuming my rewrite is correct:
We need a balanced equation for this reaction. I find the following.
2KMnO4+8H2SO4+10FeSO4→K2SO4+2MnSO4+5Fe2(SO4)3+8H2O
We are asked how much of the KMnO4 reactant is needed to oxidize the FeSO4 reactant. We may assume the H2SO4 is not a limiting reagent in this reaction.
The balanced equation tells us that 2 moles of KMnO4 are quired for every 10 moles of FeSO4, which is a molar ratio of 2/10 (moles KMnO4)/(moles K2SO4).
Lets calculate the moles of FeSO4 are present in 40 ml of 0.100M FeSO4.
Remember that Molarity is defined as moles/liter. 0.100 M means there are 0.100 moles of solute per liter.
Volume (in L) x Molarity(moles/liter) = moles
40 ml is 0.04 liters
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(0.040L)*(0.100 moles/liter) = 0.004 moles FeSO4
To find the moles of KMnO4 that are required, multiply the moles FeSO4 times the molar ratio calculated earlier:
(0.004 moles FeSO4)*[2/10 (moles KMnO4)/(moles K2SO4).] = 0.00040 moles of KMnO4
We need a volume of the 0.02 M KMnO4 reagent that provides 0.00040 moles of KMnO4.
Volume (in L) x Molarity(moles/liter) = moles
Volume (in L) x (0.02 moles/liter) = 0.00040 moles
Volume of KMnO4 = 0.020 liters, or 20 ml
20 ml of 0.02 M KMnO4 is needed to oxidize 40.0 ml of a 0.100 M FeSO4 solution.