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ChemistryChemistry & Chemical Reactivity10th Edition

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Chapter 13, Problem 47PS
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Chemistry & Chemical Reactivity

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

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Chemistry & Chemical Reactivity

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

If 52.5 g of LiF is dissolved in 306 g of water, what is the expected freezing point of the solution? (Assume the van’t Hoff factor, i, for LiF is 2.)

Interpretation Introduction

Interpretation: The expected freezing point of LiF has to be determined.

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 freezing point
  • Osmotic pressure

Decline in the freezing point is huge when solute is an electrolyte than when solute is nonelectrolyte. Therefore, change in freezing point is calculated by using the equation,

  ΔTfp = Kfp msolutei

  where,

  Kfp  is the molal freezing point depression constant.

  i is van’t Hoff factor

van’t Hoff factor, i: it is the ration between change in in freezing point measured and change in in freezing point calculated. It indicates the total number of ions that are produced.

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

  Molality (m) =Number of moles of solute1kg of solvent

Explanation

The expected freezing point of LiF is calculated.

Given,

  i = 2

  Mass of LiF is 52.5 g

  Mass of water is 306 g = 0.306 kg

  Molal freezing point depression constant of water is  −1.860C/m

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

Number of mole =Given mass of the substanceMolar mass = 52.5 g25.94 g/mol= 2.02 mol

The molality of LiF is,

Molality (m)=Number of moles of solute1kg of solvent=2

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Sect-13.1 P-13.1CYUSect-13.2 P-13.2CYUSect-13.3 P-13.3CYUSect-13.4 P-13.4CYUSect-13.4 P-13.5CYUSect-13.4 P-13.6CYUSect-13.4 P-13.7CYUSect-13.4 P-13.8CYUSect-13.4 P-13.9CYUSect-13.4 P-13.10CYU
Sect-13.5 P-1.1ACPSect-13.5 P-1.2ACPSect-13.5 P-1.3ACPSect-13.5 P-1.4ACPSect-13.5 P-2.1ACPSect-13.5 P-2.2ACPSect-13.5 P-2.3ACPSect-13.5 P-2.4ACPSect-13.5 P-3.1ACPSect-13.5 P-3.2ACPSect-13.5 P-3.3ACPCh-13 P-1PSCh-13 P-2PSCh-13 P-3PSCh-13 P-4PSCh-13 P-5PSCh-13 P-6PSCh-13 P-7PSCh-13 P-8PSCh-13 P-9PSCh-13 P-10PSCh-13 P-11PSCh-13 P-12PSCh-13 P-13PSCh-13 P-14PSCh-13 P-15PSCh-13 P-16PSCh-13 P-17PSCh-13 P-18PSCh-13 P-19PSCh-13 P-20PSCh-13 P-21PSCh-13 P-22PSCh-13 P-23PSCh-13 P-24PSCh-13 P-25PSCh-13 P-26PSCh-13 P-27PSCh-13 P-28PSCh-13 P-29PSCh-13 P-30PSCh-13 P-31PSCh-13 P-32PSCh-13 P-33PSCh-13 P-34PSCh-13 P-35PSCh-13 P-36PSCh-13 P-37PSCh-13 P-38PSCh-13 P-39PSCh-13 P-40PSCh-13 P-41PSCh-13 P-42PSCh-13 P-43PSCh-13 P-44PSCh-13 P-45PSCh-13 P-46PSCh-13 P-47PSCh-13 P-48PSCh-13 P-49PSCh-13 P-50PSCh-13 P-51PSCh-13 P-52PSCh-13 P-53GQCh-13 P-54GQCh-13 P-55GQCh-13 P-56GQCh-13 P-57GQCh-13 P-58GQCh-13 P-59GQCh-13 P-60GQCh-13 P-61GQCh-13 P-62GQCh-13 P-63GQCh-13 P-64GQCh-13 P-65GQCh-13 P-66GQCh-13 P-67GQCh-13 P-68GQCh-13 P-69GQCh-13 P-70GQCh-13 P-71GQCh-13 P-72GQCh-13 P-73GQCh-13 P-74GQCh-13 P-75GQCh-13 P-76GQCh-13 P-77GQCh-13 P-78GQCh-13 P-79GQCh-13 P-80GQCh-13 P-81GQCh-13 P-82GQCh-13 P-85GQCh-13 P-86GQCh-13 P-87ILCh-13 P-88ILCh-13 P-89ILCh-13 P-90ILCh-13 P-91ILCh-13 P-92ILCh-13 P-93SCQCh-13 P-94SCQCh-13 P-95SCQCh-13 P-96SCQCh-13 P-97SCQCh-13 P-98SCQCh-13 P-99SCQCh-13 P-100SCQCh-13 P-101SCQCh-13 P-102SCQCh-13 P-104SCQCh-13 P-105SCQCh-13 P-106SCQCh-13 P-107SCQ

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