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1-propanol (n-propanol), and 2-propanol (isopropanol), form ideal solutions in a

ID: 939067 • Letter: 1

Question

1-propanol (n-propanol), and 2-propanol (isopropanol), form ideal solutions in all proportions. Calculate the partial pressure of each component in equilibrium at 25 °C with a solution of the following mole fractions; xprop = 0.278, 0.556, and 0.834, given that P°prop = 20.9 Torr and P°iso = 45.2 Torr at 25 °C. Calculate the mole fractions (y) of the vapor phases as well.

ropanol (n-propanol), and 2-propanol (isopropanol), form ideal solutions in all proportions. Calculate the 0.278, 0.556, and 0.834, given that Poprop-20.9 Torr and Piso-452 Torr at 25°C. Calculate the mole At xprop = 0.556 partial pressure of each component in equilibrium at 25°C with a solution of the following mole fractions, xprop fractions (y) of the vapor phases as well At Xpro,-0.278 At xprop = 0.834 Number Number Number Torr Torr Torr Number Number Number Torr Torr Torr ISo Number Number Number prop Number Number Number iso

Explanation / Answer

The mole fraction of isopropanol in a mixture of isopropanol and propanol will be 1 - the mole fraction of propanol.

The partial pressure of isopropanol will be its mole fraction multiplied by vapor pressure of isopropanol

The partial pressure of propanol will be its mole fraction multiplied by vapor pressure of propanol

In the vapor, the mole fraction of prop will be its partial pressure divided by the sum of the two partial pressures

When xprop = 0.278; xisopropanol will be 1- 0.278 = 0.722

P°iso = 45.2 Torr at 25 °C so

Piso will be 45.2 x 0.722 = 32.63 TORR

Pprop will be 20.9 x 0.278 = 5.81 TORR

yprop = 5.81/(5.81 +32.63) = 0.151

yiso = 1-0.1511 = 0.849

When xprop = 0.556; xisopropanol will be 1- 0.556 = 0.444

P°iso = 45.2 Torr at 25 °C so

Piso will be 45.2 x 0.444 = 20.07 TORR

Pprop will be 20.9 x 0.556 = 11.62 TORR

yprop = 11.62/(11.62+20.07) = 0.367

yiso = 1-0.1511 = 0.633

When xprop = 0.834; xisopropanol will be 1- 0.834 = 0.166

P°iso = 45.2 Torr at 25 °C so

Piso will be 45.2 x 0.166 = 7.50 TORR

Pprop will be 20.9 x 0.834 = 17.43 TORR

yprop = 17.43/(17.43 +7.50) = 0.699

yiso = 1-0.699 = 0.301