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chemical analysis

To quantify the amount of ethanol in an organic sample, a technician prepares a standard solution containing 0.1473 grams ethanol and 0.1847 grams decane dissolved in 1.203 grams dichloromethane. GC analysis returns peak areas of 9930 for ethanol and 7893 for decane. Next, 0.9831 grams of a sample of unknown composition and 0.2932 grams decane are added to 1.2119 grams dichloromethane. GC analysis returns peak areas of 6382 for ethanol and 11283 for decane. What is the percent by mass ethanol in the sample?

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