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A chemist has two thanol/water stock solutions: one is 10% (by mass) ethanol (density = 0.9819 g/cm3) and the other is 80% (by mass) ethanol (density = 0.8436 g/cm3). What volume of each stock solution is required to make a 1.000L solution of ethanol/water that is 50% (by mass) ethanol (density = 0.9139 g/cm3)? Does the total volume of the two stock solutions equal the volume of the final solution?

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