Worksheet: Cryoscopic and Ebullioscopic Effects

In this worksheet, we will practice using cryoscopic and ebullioscopic constants to calculate how solutes affect solution melting and boiling points.

Q1:

What is the boiling point of a solution of 115.0 g of sucrose, C H O 1 2 2 2 1 1 , in 350.0 g of water? The boiling point elevation constant of water is 0 . 5 1 2 / ∘ C m .

Q2:

What is the boiling point elevation of 0.100 kg of water containing 0.0100 mol of N a C l , 0.0200 mol of N a S O 2 4 , and 0.0300 mol of M g C l 2 ? Assume complete dissociation of the salts.

Q3:

A sample of H g C l 2 weighing 9.41 g is dissolved in 32.75 g of ethanol, C H O H 2 5   ( 𝐾 = 1 . 2 0 ⋅ / ) b K k g m o l . The boiling point elevation of the solution is 1 . 2 7 ∘ C . Is H g C l 2 an electrolyte in ethanol?

  • AYes: the boiling point elevation is consistent with H g C l 2 partially dissociating.
  • BYes: the boiling point elevation is consistent with H g C l 2 completely dissociating.
  • CNo: the boiling point elevation is consistent with H g C l 2 completely dissociating.
  • DNo: the boiling point elevation is consistent with H g C l 2 not dissociating at all.
  • EYes: the boiling point elevation is consistent with H g C l 2 not dissociating at all.

Q4:

What is the boiling point of a solution of N a C l in water if the solution freezes at − 0 . 9 3 ∘ C ? The cryoscopic constant of water is 1.853 K⋅kg/mol and the ebullioscopic constant is 0.512 K⋅kg/mol.

Q5:

What is the boiling point of a solution of 115.0 g of sucrose, C H O 1 2 2 2 1 1 , in 350.0 g of water? The boiling point elevation constant of water is 0.512 K⋅kg/mol.

Q6:

Which of the following will have the lowest freezing point?

  • AA 0.01 M aqueous solution of B a C l 2
  • BA 0.01 M aqueous solution of N a C l
  • CA 0.01 M aqueous solution of K B r
  • DA 0.01 M aqueous solution of F e C l 3
  • EA 0.01 M aqueous solution of C u C l 2

Q7:

If a 1.00 M solution of N a C l in water shows a freezing-point depression of 3 . 7 2 ∘ C , what is the freezing-point depression observed for a 1.00 M solution of C a C l 2 in water? The ions of both N a C l and C a C l 2 completely dissociate in aqueous solution.

Q8:

Which of the following will have the highest boiling point?

  • AA 0.1 M aqueous solution of sucrose
  • BA 0.01 M aqueous solution of B a C l 2
  • CA 0.1 M aqueous solution of K C l
  • DA 0.1 M aqueous solution of C a C l 2

Q9:

Which of the following has the lowest boiling point?

  • AA 12 M aqueous solution of sulfuric acid
  • BA 0.01 M aqueous solution of N a H C O 3
  • CA 0.1 M aqueous solution of glucose
  • DPure liquid water

Q10:

What is the freezing temperature of a solution of 115.0 g of sucrose, C H O 1 2 2 2 1 1 , in 350.0 g of water? The freezing point depression constant for water is 1.86 kg⋅K/mol.

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