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Question: the preparation of homeopathic remedies involves repeated dilution of solutions...

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The preparation of homeopathic "remedies" involves repeated dilution of solutions containing active ingredients such as arsenic trioxide (As2O3).

Suppose one begins with 18.0 g of arsenic trioxide dissolved in water and repeatedly dilutes the solution with pure water, each dilution reducing the amount of arsenic trioxide remaining in the solution by a factor of 100. Assuming perfect mixing at each dilution, what is the minimum number of dilutions one needs to perform so that on average less than one molecule of arsenic trioxide remains in the diluted solution? (For comparison, homeopathic "remedies" are commonly diluted 15 or even 30 times.)

The atomic masses of As and O are 75 g/mol and 16 g/mol, respectively. Assume arsenic trioxide does not dissociate in water

The MC options are 15, 11,10 or 12

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