The vapor pressure of pure acetone (CH3COCH3) at 30 oC is 240 torr. The vapor pressure of pure water (H2O) at 30 oC is 40 torr. If the total vapor pressure of a mixture of water and acetone at 30 oC is 190 torr, what is the mol fraction of acetone?

Respuesta :

The mole fraction of acetone is 0.75.

Given that,

  • The vapor pressure of pure acetone (CH3COCH3) at 30 oC is 240 torr.
  • The vapor pressure of pure water (H2O) at 30 oC is 40 torr.
  • And, the total vapor pressure of a mixture of water and acetone at 30 oC is 190 torr

Calculation of acetone mole fraction:

Let us assume the mole fraction of acetone = x

And, The mole fraction of pure water be 1 - x

Now

190 = 240x  +  40(1 - x)

190 = 240x + 40 - 40x

190 = 200x + 40

150 = 200x

x = 0.75

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