The liquid used in automobile cooling systems is prepared by dissolving ethylene
ID: 1076895 • Letter: T
Question
The liquid used in automobile cooling systems is prepared by dissolving ethylene glycol (HOCH CH20H) in water. Ethylene glycol has a molar mass of 6207 g/mol and a density of 1.115 g/mL at 50.0 1st attempt See Periodic Table QSee Hint Calculate the vapor pressure at 50 C of a coolant solution that is 59.0:41.0 ethylene glycol-to-water by volume. At 50.0°C, the density of water is 0.9880 g/mL, and its vapor pressure is 92 torr. The vapor pressure of ethylene glycol is less than 1 torr at 50.0°c torrExplanation / Answer
Here, provided,
Ethylene glycol water ratio = 59:41
Density of water= 0.9880 g/ml at 50 oC
Density of ethylene glycol = 1.11 g/ml
Vapor pressure of water = 92 torr
Now, since, Density = Mass/Volume
Mass of water = 41 x 0.98 = 40.18 g
Mass of ethylene glycol = 59 x 1.11= 65.49 g
Number of moles of ethylene glycol = (65.49 x1)/ 62.07 = 1.055 moles
Number of moles of H2O = (40.18 x 1) / 18 = 2.232 moles
Total number of moles = 1.055 +2.232 = 3.287
Mole fraction of water = 2.232/3.287 = 0.679
Therefore,
Vapor pressure of the solution = 0.679 x 92 torr = 62.46 torr
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