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physics: density?

1. When 40 drops of water from an eyedropper are dropped into a graduated cylinder, they occupy a volume of 3/4 of a cubic centimeter. What is the mass of each drop? What is the volume of each drop?

2. If two liters of water are mixed w/ three liters of alcohol, what is the density of the mixture? (The density of water is 1.00g/cm3, and the density of alcohol is 0.79g/cm3.)

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Anonymous

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1) If volume of each drop = V then

40V = 3/4 cc

Volume of each drop = 3/160 cc

Mass of each drop = 3/160* 1 = 3/160 gms

2) mass of 2 litres of water = 2000 *1 = 2000 gms

mass of 3 litres of alcohol = 3000* 0.79 = 2370 gms

combined mass = 4370 gms for a total Volume = 5000 cc

Therefore, combined density = 4370/5000 = 0.874 gm/cc

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