Solutions and Colligative Properties ❮ 191
❯ Answers and Explanations
- C—If the solute is an electrolyte, the solu-
tion will conduct electricity and the van’t Hoff
factor, i, will be greater than 1. The choices do
not include any conductivity measurements;
therefore, the van’t Hoff factor would need to
be determined. This determination may be done
by measuring the osmotic pressure, the boiling-
point elevation, or the freezing-point depression.
The freezing-point depression may be found by
measuring the freezing point of the solution.
2. A—The potassium ion contribution from the
KNO 3 is
()
+
300.0 mL
1 mol KNO
1,000 mL
1 mol K
1 mol KNO
3
3
= 0.300 mole K+
The potassium ion contribution from K 3 PO 4 is
(^) ()
+
700.0 mL
2.0 mol K PO
1,000 mL
3 mol K
1 mol KPO
34
34
= 4.20 moles K+
The total potassium is 4.50 moles in a total
volume of 1.000 L. Thus, the potassium concen-
tration is 4.50 M.
- A student prepares 100 mL of each of the fol-
lowing solutions by dissolving the appropriate
solute in water. He then proceeds to measure the
electrical conductivity of each solution. Which of
the following aqueous solutions has the greatest
electrical conductivity?
(A) 0.01 M Ba(OH) 2
(B) 0.01 M KCl
(C) 0.01 M Na 3 PO 4
(D) 0.01 M HC 2 H 3 O 2
16. IONIC RADIUS (PM)
ION (CUBIC ENVIRONMENT)
Na+^132
Cd^2 + 124
La^3 + 130
The energy change in the following reaction is
the heat of hydration:
Mn+(g) + x H 2 O(l) → M(H 2 O)xn+(aq)
ΔH = Heat of hydration
In general, the heat of hydration is exothermic.
Assuming the value of x is the same in all cases,
which of the following correctly predicts the rela-
tive order of the heats of hydration for the ions
listed in the table and gives a correct explanation?
(A) Na+ > Cd^2 + > La^3 + because ions of elements
lower on the periodic table have lower hydra-
tion energies.
(B) Cd^2 +^ > La^3 +^ > Na+^ because smaller radii lead
to higher hydration energies.
(C) La^3 +^ > Cd^2 +^ > Na+^ because higher charges
lead to higher hydration energies.
(D) All are about the same because their ionic
radii are similar.