Calculate the vapor pressure of a solution containing 29.3 g of glycerin (C3H8O3

Question

Calculate the vapor pressure of a solution containing 29.3 g of glycerin (C3H8O3) in 131 mL of water at 30.0 C. The vapor pressure of pure water at this temperature is 31.8 torr. Assume that glycerin is not volatile and dissolves molecularly (i.e., it is not ionic) and use a density of 1.00 g/mL for the water. Calculate the vapor pressure of a solution containing 29.3 g of glycerin (C3H8O3) in 131 mL of water at 30.0 C. The vapor pressure of pure water at this temperature is 31.8 torr. Assume that glycerin is not volatile and dissolves molecularly (i.e., it is not ionic) and use a density of 1.00 g/mL for the water.

Explanation / Answer

moles glycerin = 29.3 g / 92.094 g/mol=0.318 moles

mass water = 131 mL x 1 g/mL = 131 g

moles water = 131 g / 18.02 g/mol=7.269 moles

mole fraction water = 7.26 / (7.26 + 0.318) =0.959

p = 31.8 x 0.959 =30.50 torr

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