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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

A 2.00% solution of H2SO4 in water freezes at −0.796 °C

  1. (a) Calculate the van’t Hoff factor, i.
  2. (b) Which of the following best represents sulfuric acid in a dilute aqueous solution: H2SO4, H2O+ + HSO4, or 2 H3O+ + SO42−?

(a)

Interpretation Introduction

Interpretation: van’t Hoff factor of 2%ofH2SO4 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

Freezing point depression: The freezing point of the solution varies with the solute concentration.

Freezing point depression = ΔTfp= Kfp. msolute.i,where,Kfp=molal freezing point depression constant,msolute= molality of solute,i=van'tHofffactor.

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) =Numberofmolesofsolute1kgofsolvent

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

  Numberofmole=GivenmassofthesubstanceMolarmass

Explanation

Given,

  ΔTfp=0.7960CKFp=1.860C/m

  Mass of H2SO4 is 2100×100g=2g

  Molar mass of H2SO4 is 98.08g/mol

  Mass of water is 100g2g=98g

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

  Numberofmole=GivenmassofthesubstanceMolarmass=2g98.08g/mol=0.020mol

Molality of the H2SO4 solution is,

  Molality (m) =Numberofmolesofsolute1kgofsolvent=0

(b)

Interpretation Introduction

Interpretation: From the following, the best represents that H2SO4 is in a dilute aqueous solution has 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 freezing point
  • Osmotic pressure

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