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?The vapor pressure of ethanol \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\) and

Chapter 12, Problem 52P

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QUESTION:

The vapor pressure of ethanol \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\) and l-propanol \(\mathrm{C}_{3} \mathrm{H}_{7} \mathrm{OH}\) at 35°C are 100 mmHg and 37.6 mmHg, respectively. Assume ideal behavior and calculate the partial pressures of ethanol and l-propanol at 35°C over a solution of ethanol in l-propanol, in which the mole fraction of ethanol is 0.300.

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QUESTION:

The vapor pressure of ethanol \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\) and l-propanol \(\mathrm{C}_{3} \mathrm{H}_{7} \mathrm{OH}\) at 35°C are 100 mmHg and 37.6 mmHg, respectively. Assume ideal behavior and calculate the partial pressures of ethanol and l-propanol at 35°C over a solution of ethanol in l-propanol, in which the mole fraction of ethanol is 0.300.

ANSWER:

Step 1 of 2

The vapor pressure of the solvent over a solution is given by the product of the vapor pressure of the pure solvent and the mole fraction of the solvent in the solution is stated by Raoult's law.

where  and  are the partial pressures over the solution for components A and  and  are the vapor pressures of the pure substances; and  and  are their mole fractions.

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