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1 ppm means one gram of arsenic per 1,000,000 grams of water

1,000,000 grams of water is 1,000 litres = 1,000 dm^3 (one gram = one ml)

assuming we have this quantity of solution:

moles arsenic = mass/Mr = 1/74.9 = 0.0133511348 moles

but this is for 1,000 dm^3, so for 1 dm^3 we have 1000th of this amount, which is 1.335113485 x 10^-5 moles

So the molar concentration is 1.34 x 10^-5 mol.dm^-3

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