Therefore, the Cr ion must have a charge of +3.
Choice (D) also yields a +3 charge for Cr, and yet does not conform to standard methods
of writing complex ion formulas.
59.(C) Raoult’s law states that the partial pressure of a solvent over a solution, P 1 , is given by
the vapor pressure of the pure solvent, P° 1 , times the mole fraction of the solvent in the so-
lution, X 1.
P 1 = X 1 P° 1A decrease in vapor pressure is directly proportional to the concentration (measured as
mole fraction) of the solute present.60.(E) In dilution problems, we use the formula M 1 V 1 = M 2 V 2 ; therefore, it is necessary to de-
termine the molarity of the initial solution first.
.
mL solution
g solution
liter solutionmL solution
1150
11000
#.
g solution..g HCl
g HClmole HCl M
10036 45
36 45
##^1 =15 0Next we use the relationship M 1 V 1 = M 2 V 2 :
(15.0 M)(x liters) = (5.0 M)(9.0 liters)
x= 3.0 liters- (B) In examining the balanced equation, note that for each mole of N 2 O 5 gas that decom-
poses,^1 ⁄ 2 mole of O 2 gas is formed. Therefore, the rate of formation of oxygen gas should
be half the rate of decomposition of the N 2 O 5.
62.(B) Begin by writing the equilibrium equation.
PbCl 2 DPb^2 +()aq +() 2 Cl aq-Next, write the equilibrium expression.
KPbClsp^2
2
= 77 +-AAIn reference to the chloride ion concentration, rewrite the expression for [C1–]:Cl
PbKsp
212- = +
JLK
KNPO
7 A 7 AOAt any value greater than this expression, PbCl 2 (s) will precipitate, removing Cl–(aq) from
solution.63.(D) Use the equation NaVa= NbVb. Solve the equation for Na.
...
N NVV mL.NmL
25 0 N050 500
a^10
a
==bb # =Answers and Explanations for the Practice Test