Chapter 13, Problem 100SCQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Which substance would have the greater influence on the vapor pressure of water when added to 1000. g of water: 10.0 g of sucrose (C12H22O11) or 10.0 g of ethylene glycol (HOCH2CH2OH)?

Interpretation Introduction

Interpretation: Among 10.0g of sucrose and 10.0g of ethylene glycol which has the greater influence on vapor pressure of 1000g water is to be identified.

Concept introduction:

Colligative properties: Properties of solutions which having influence on the concentration of the solute in it. Colligative properties are,

• Decrease in the vapor pressure
• Increase in the boiling point
• Decline in the boiling point
• Osmotic pressure

Raoult’s law: In a solution, vapor pressure of solvent is proportional to its mole fraction.

Psolvent=XsolventP0solvent

where,

P0solvent is the vapor pressure of pure solvent.

Molality (m): Molality is the number of moles of solute present in one kilogram of solvent.

Molality (m) =Numberofmolesofsolute1kgofsolvent

Explanation

Given,

Mass of sucrose is 10.0â€‰g

Mass of ethylene glycol is 10.0â€‰g

Mass of water is 1000.0â€‰gâ€‰=â€‰1â€‰kg

Molar mass of sucrose is 342.30â€‰g/mol

Molar mass of ethylene glycol is 62.07â€‰g/mol

The number of moles of any substance can be determined using the equation

â€‚Â Numberâ€‰ofâ€‰moleâ€‰=Givenâ€‰massâ€‰ofâ€‰theâ€‰substanceMolarâ€‰massâ€‰

Number of moles of sucrose is,

â€‚Â Numberâ€‰ofâ€‰moleâ€‰=10â€‰g342.30â€‰g/molâ€‰=â€‰0.029â€‰mol

Number of moles of sucrose is 0.029â€‰mol

Number of moles of ethylene glycol is,

â€‚Â Numberâ€‰ofâ€‰moleâ€‰=10â€‰g62.07â€‰g/molâ€‰=â€‰0

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