Asolution contains two isomers, n-propyl alcohol and isopropyl alcohol, at 25°c. the total vapor pressure is 38.6 torr. what are the mole fractions of each alcohol in the liquid and in the vapor phase? the vapor pressures are 21.0 torr for n-propyl alcohol and 45.2 torr for isopropyl alcohol.

Mole fraction of alcohols in liquid phase .

Mole fraction of alcohols in vapor phase .

Explanation:

The total vapor pressure of the solution = p =38.6 Torr

Partial vapor pressure of the  n-propyl alcohol =

Partial vapor pressure of the isopropyl alcohol =

 (Raoult's Law)

is mole fraction in liquid phase.

Mole fraction of components in vapor phase

(Dalton's law of partial pressure)

Mole fraction of alcohols in vapor phase

the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3