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Chapter 11: Question 58 E (page 649)

In a significant experiment performed many years ago, 5.6977 g of cadmium iodide in 44.69 g of water raised the boiling point 0.181 °C. What does this suggest about the nature of a solution of\({\bf{CdI}}_2\)?

Short Answer

Expert verified

The actual increase in boiling point is 0.181°C.

Step by step solution

01

Boiling Point

At standard atmospheric pressure, the boiling may be defined as the temperature at which the liquid is converted into vapors.

The boiling point is:

\(\begin{aligned} {\bf{\Delta }}{{\bf{T}}_{\bf{b}}}{\bf{ = Kb \times m}}\\{\bf{\Delta }}{{\bf{T}}_{\bf{b}}}{\bf{ = Elevation in boiling point}}\\{\bf{Kb = Ebuloscopic constant}}\\{\bf{m = molality of solution}}\end{aligned}\)

02

Explanation

From the elevation of boiling point, determine the molarity expected,

\(\begin{aligned}\begin{aligned}{\rm{Mole \;Cd}}{{\rm{I}}_{\rm{2}}}\; &= \dfrac{{{\rm{5}}{\rm{.6977g}}}}{{{\rm{366}}{\rm{.220gmol}}{{\rm{e}}^{{\rm{ - 1}}}}}}\\{\rm{Mole \; Cd}}{{\rm{I}}_{\rm{2}}}\; &= {\rm{0}}{\rm{.015558 mole}}\end{aligned}\\\begin{aligned} {\rm{Molality \; of \; Cd}}{{\rm{I}}_{\rm{2}}} &= \dfrac{{{\rm{0}}{\rm{.015558mol}}}}{{{\rm{0}}{\rm{.04469kg}}}}\\{\rm{Molality \; of \; Cd}}{{\rm{I}}_{\rm{2}}} &= {\rm{0}}{\rm{.3481moleK}}{{\rm{g}}^{{\rm{ - 1}}}}\end{aligned}\end{aligned}\)

The boiling point elevation expected if no ionization occurs is:

\(\begin{aligned}{\rm{\Delta Tb}} & = {\rm {Kb \times m }}\\{\rm{\Delta Tb }}\; &= {\rm{ 0}}{\rm{.512 ^\circ C }}{{\rm{m}}^{{\rm{ - 1}}}}{\rm{ \times 0}}{\rm{.3481m}}\\{\rm{\Delta Tb }}\;&= {\rm{0}}{\rm{.17}}{{\rm{8}}^{\rm{o}}}{\rm{C}}\end{aligned}\)

The actual boiling point increase is 0.181°C.

03

Nature of \({\bf{CdI_2}}\) solution

After the addition of \({\rm{CdI_2}}\)in water, it will increase the boiling point of water.

That means it releases the heat in the solution.

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Most popular questions from this chapter

Calculate the mole fraction of each solute and solvent:

  1. 583 g of\({{\bf{H}}_2}{\bf{S}}{{\bf{O}}_4}\)in 1.50 kg of water—the acid solution used in an automobile battery
  2. 0.86 g of NaCl in 1.00 × 102 g of water—a solution of sodium chloride for intravenous injection
  3. 46.85 g of codeine, \({{\bf{C}}_{{\bf{18}}}}{{\bf{H}}_{{\bf{21}}}}{\bf{N}}{{\bf{O}}_{\bf{3}}}\), in 125.5 g of ethanol, \({{\bf{C}}_{\bf{2}}}{{\bf{H}}_{\bf{5}}}{\bf{OH}}\)
  4. 25 g of I2 in 125 g of ethanol, \({{\bf{C}}_{\bf{2}}}{{\bf{H}}_{\bf{5}}}{\bf{OH}}\).

Question: The vapor pressure of methanol, \({\bf{C}}{{\bf{H}}_{\bf{3}}}{\bf{OH}}\) , is 94 tor at 20 °C. The vapor pressure of ethanol,\({{\bf{C}}_{\bf{2}}}{{\bf{H}}_{\bf{5}}}{\bf{OH}}\) , is 44 tor at the same temperature.

(a) Calculate the mole fraction of methanol and of ethanol in a solution of 50.0 g of methanol and 50.0 g of ethanol.

(b) Ethanol and methanol form a solution that behaves like an ideal solution. Calculate the vapor pressure of methanol and of ethanol above the solution at 20 °C.

(c) Calculate the mole fraction of methanol and of ethanol in the vapor above the solution.

Heat is released when some solutions form; heat is absorbed when other solutions form. Provide a molecular explanation for the difference between these two types of spontaneous processes.

Explain why solutions of HBr in benzene (a nonpolar solvent) are nonconductive, while solutions in water (a polar solvent) are conductive.

A 12.0-g sample of a nonelectrolyte is dissolved in 80.0 g of water. The solution freezes at −1.94 °C. Calculate the molar mass of the substance. The Vapour Pressure of the Solution is 23.35 Tor.

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