Partial Molar Volume When two liquids are mixed, the new total volume V is not e

Question

Partial Molar Volume

When two liquids are mixed, the new total volume V is not equal to the sum of the two initial volumes. This is due to how molecules interact with each other and pack in solution. The partial molar volume is an intensive property and is defined as the change in volume of a solution with the change in volume of a given component i:

What is the partial molar volume of ethanol (in units of mL/mol) in a solution with water if 125 mL of ethanol is added to 350. mL of water and the volume increases by only 113 mL? Take the density of ethanol to be 0.789 g/mL.

Explanation / Answer

The amount of grams of ethanol = 125 * 0.789 = 98.625 gm

moles of ethanol = 98.625 / 46.06 = 2.141 moles

moles of water = 350 / 18 = 19.44 moles

So the partial pressure of ethanol = 2.141 / ( 2.141 + 19.44 ) = 0.099

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