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the percent ( w/w) water in a freeze-dried antibiotic is determined in the following manner. A 0.175 g sample is placed in a vial along with 4.489 grams of methanol. Water in the sample extracts into the methanol, which is then analyzed. If GC analysis of the methanol yields a peak height of 13.66, what is the % w/w water in the antibotic?

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