Question

In: Chemistry

Calculate the vapor pressure at 25 ∘C of a solution containing 55.4 g ethylene glycol (HOCH2CH2OH)...

Calculate the vapor pressure at 25 ∘C of a solution containing 55.4 g ethylene glycol (HOCH2CH2OH) and 282.6 g water. The vapor pressure of pure water at 25 ∘C is 23.8 torr.

Solutions

Expert Solution

P=Po* Mole fraction of water
P = ?
Po = 23.8 torr

Molar mass of ethylene glycol = 62 g/mol
number of moles of ethylene glycol = mass / molar mass
                                                                          =55.4/62
                                                                          = 0.8935 mol
Molar mass of water = 18 g/mol
number of moles of water = mass / molar mass
                                                                          =282.6/18
                                                                          = 15.7 mol

Mole fraction of water = moles of water / total moles
                                                = 15.7 / (15.7 + 0.8935)
                                                = 0.946

P = Po* Mole fraction of water
P = 23.8 * 0.946
P = 22.5 torr
Answer: 22.5 torr


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