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Solved: How many grams of urea [(NH2)2CO] must be added to

Chapter 12, Problem 54P

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QUESTION:

How many grams of urea [\(\left(\mathrm{NH}_{2}\right)_{2} \mathrm{CO}\)] must be added to 450 g of water to give a solution with a vapor pressure 2.50 mmHg less than that of pure water at 30°C? (The vapor pressure of water at 30°C is 31.8 mmHg.)

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QUESTION:

How many grams of urea [\(\left(\mathrm{NH}_{2}\right)_{2} \mathrm{CO}\)] must be added to 450 g of water to give a solution with a vapor pressure 2.50 mmHg less than that of pure water at 30°C? (The vapor pressure of water at 30°C is 31.8 mmHg.)

ANSWER:

Step 1 of 3

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  and  

 and  are the vapor pressures of the pure substances  

 and  are their mole fractions.

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