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?A mixture of ethanol and l-propanol behaves ideally at 36°C and is in equilibrium with

Chapter 12, Problem 116P

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QUESTION:

A mixture of ethanol and l-propanol behaves ideally at 36°C and is in equilibrium with its vapor. If the mole fraction of ethanol in the solution is 0.62, calculate its mole fraction in the vapor phase at this temperature. (The vapor pressures of pure ethanol and l-propanol at 36°C are 108 mmHg and 40.0 mmHg, respectively.)

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QUESTION:

A mixture of ethanol and l-propanol behaves ideally at 36°C and is in equilibrium with its vapor. If the mole fraction of ethanol in the solution is 0.62, calculate its mole fraction in the vapor phase at this temperature. (The vapor pressures of pure ethanol and l-propanol at 36°C are 108 mmHg and 40.0 mmHg, respectively.)

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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