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molarity of lactose in milk

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On average, cow milk is 4.7%(w/w) lactose. The molecular weight of this disaccharide is 342.3g C12H22011. Assuming milk has the density of water (it is >90% water) what is the molarity of lactose in milk?

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The solution includes stepwise explanation on how to determine molarity with given density and w/w of a substance.

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Mass of lactose in 100g solution = 4.7g
so, mass of lactose in 1000g ...

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