48.(D) All intermediate mechanisms must add up to yield the original, overall balanced
equation.
() () ()
() () ()
() () ()
NO g O g NO g
NO g O g NO g
NO g NO g NO g
22
2
22
2
23
3
"
"
"
+
+
+
49.(C) Remember that Ka×Kb= 10–14. Therefore,
b
.
K Lac.
15 10
(^10) 67 10
5
(^1410)
- ==- #
50.(D) Use the relationship gram-equivalents acid = gram-equivalents base. Solve for the
gram-equivalents of acid.
. ..
.
liter acid
liter
gram equiv acid
1 gram equivalents of acid
0 700
1
30
# 21
- =-
At neutralization, the gram-equivalents of acid = the gram-equivalents of base. Therefore,
..
.
gram equiv NaOH.
gram equiv NaOH
g NaOH
1 g NaOH
21
1
40 00
# = 84
- (D) ∆G°represents the free energy at standard conditions: 25°C and 1 atm pressure. ∆G
represents the free energy at nonstandard conditions. In this problem, we have the non-
standard condition of 100°C. In order to solve for the free energy of this reaction, you
must use the following equation:
∆G= ∆G°+ 2.303 RT log Qp
where the constant R= 8.314 J ⋅K–1⋅mole–1and Qpis called the reaction quotient. The
reaction quotient has the same form as the equilibrium constant Kp.
Step 1:Write a balanced equation.
CaCO 3 (s) →CaO(s) + CO 2 (g)
Step 2: Determine the value of Qp, the reaction quotient.
Qp= [CO 2 (g)] = 1.00
Step 3: Substitute into the equation.
∆G= ∆G°+ 2.303 RT log Qp
= 130,240 J/mole + 2.303(8.314 J ⋅K–1⋅mole–1)(373 K)(log 1.00)
= 130,240 J/mole
= 130.240 kJ/mole
Part IV: AP Chemistry Practice Test