SOLUTION: you are asked to prepare 100 ml of a potassium permanganate solution so that a 1 part to 3 parts dilution gives a 0.5 % w/v solution. How much potassium permanganate should be used

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Question 1068690: you are asked to prepare 100 ml of a potassium permanganate solution so that a 1 part to 3 parts dilution gives a 0.5 % w/v solution. How much potassium permanganate should be used?
the answer that i found was 1.5g but in my textbook it says "2g"
i thought 1 part to 3 parts means 1 part of the active ingredient and 2 parts of the diluent/water am i wrong ?
another question the ratio 1:10 does it mean 1 part of the active ingredient and 9 parts of the diluent/water or 10 parts of the diluent/water

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p grams of the compound in 100 ml of solution is p%2F100, concentration as a fraction.

1 part by volume of the concentrated solution will be added to 3 parts of water, being total of 4 parts. Consider using all 100 ml of the concentrated solution.

%281%2F4%29%28p%2F100%29=0.005, keeping all in fractions.
Solve for p.

p%2F%284%2A100%29=0.005

p=400%2A0.005

p=4%2A100%2A5%2A1000%5E%28-3%29

4%2A5%2A100%2A%281%2F1000%29

20%281%2F10%29

highlight%282.0%29