
Interpretation:
The amount of sucrose (in grams) required in the given amount of water to prepare a solution with a vapor pressure less than that of pure water at
Concept introduction:
Raoult’s law describes the relationship between the partial vapor pressure of a solution and the solvent. This law states that the partial pressure of the solvent in the solution
Mole fraction of a component is defined as the ratio of number of moles of that component to the total number of moles of all the components present in the mixture. The relationship between mole fraction

Answer to Problem 58QP
Solution:
Explanation of Solution
Given information:
The amount of water is,
The vapor pressure of pure water is,
The vapor pressure of the solutionis,
Molar mass of water
Molar mass of sucrose
The moles of water can be evaluated as follows:
Therefore, the moles of water are
Now, the mole fraction of water in the solution is calculated by the expression as follows:
Substitute the values of
The moles fraction of water can be rewritten by the expression as follows:
Substitute the values of mole fraction and the number of moles of water in the above equation,
Thus, the number of moles of sucrose is
The amount of sucrose required in the solution is calculated as follows:
Hence, the amount of sucrose (in grams) required in
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Chapter 13 Solutions
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