The following substances have the indicated densities at 20 degree C: water = 0.

Question

The following substances have the indicated densities at 20 degree C: water = 0.9982 g/cm^3, acetic acid = 1.0477 g/cm^3, acetic acid/water (50% by mass) = 1.0562 g/cm^3. Initially, 100.0000 g of 20 degree C acetic acid is added to a system. Then, 100.0000 g of 20 degree C water is gently added so there is a layer of acetic acid at the bottom and a layer of water on top. Finally, the acetic acid and water are mixed together and brought to 20 degree C. How much liquid volume is generated (consumed) by this mixing process?

Explanation / Answer

Density of water is 0.9982 g/cm3

100 g of water will occupy 100/0.9982 = 100.18 cm3

Density of Acetic acid is 1.0477 g/cm3

100 g of acetic acid will occupy 100/1.0477 = 95.447 cm3

So when these two liquids are poured without mixing the total volume occupied is

100.14 +95.447 = 195.587 cm3

When the two liquids the total weight is 100 + 100 = 200 g

The volume occupied is

200/1.0562 = 189.358 cm3

The amount of liquid volume consumed is 195.587 cm3 - 189.358 cm3 = 6.229 cm3

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