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Chemistry & Chemical Reactivity

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

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BuyFindarrow_forward

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 10.0g

Mass of ethylene glycol is 10.0g

Mass of water is 1000.0g=1kg

Molar mass of sucrose is 342.30g/mol

Molar mass of ethylene glycol is 62.07g/mol

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

  Numberofmole=GivenmassofthesubstanceMolarmass

Number of moles of sucrose is,

  Numberofmole=10g342.30g/mol=0.029mol

Number of moles of sucrose is 0.029mol

Number of moles of ethylene glycol is,

  Numberofmole=10g62.07g/mol=0

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