A 0.500 g sample of an unknown hydrocarbon undergoes complete
combustion, producing 1.527 g CO and 0.625 g HO. What is the empirical
formula of the hydrocarbon?
A. CH
B. CH
C. CH
D. CH
Correct Answer: B - CH
RATIONALE
Moles C = 1.527/44.01 = 0.0347; moles H = 2×(0.625/18.02) =
0.0694. Ratio C:H = 1:2, but mass check: 0.0347×12.01 +
0.0694×1.008 = 0.4167 + 0.0700 = 0.4867 g 0.500 g, giving CH as
simplest whole-number ratio after scaling (C:H = 0.0347:0.0694 = 1:2,
but empirical formula requires integer ratio; actually 0.0347/0.0347=1,
0.0694/0.0347=2, so CH; however mass discrepancy suggests
oxygen? No oxygen in hydrocarbon. Correct empirical formula from
data is CH, but options include CH which is incorrect; wait
re-evaluate: 0.0347 mol C, 0.0694 mol H -> ratio 1:2 -> CH. Option B
is CH, not CH. So correct is A. Explanation: 0.0347 mol C and 0.0694
mol H gives C:H = 1:2, empirical formula CH. Distractors are higher
hydrocarbons not matching ratio.
Question 2
Which set of quantum numbers (n, , m, ms) is permissible for an electron in a
ground-state atom?
A. (3, 2, -3, +1/2)
B. (2, 2, 0, -1/2)
C. (4, 0, 0, +1/2)
D. (3, 1, -2, +1/2)
Correct Answer: C - (4, 0, 0, +1/2)
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, RATIONALE
For n=4, can be 0, m=0, ms=+1/2 is allowed. A is invalid because
m=-3 is outside - to + for =2. B is invalid because cannot equal n (
max n-1). D is invalid because m=-2 is outside -1 to +1 for =1.
Question 3
Using the VSEPR model, predict the molecular geometry and bond angle of
XeF.
A. Tetrahedral, 109.5°
B. Square planar, 90°
C. See-saw, 89° and 117°
D. Trigonal bipyramidal, 120° and 90°
Correct Answer: B - Square planar, 90°
RATIONALE
XeF has 4 bonding pairs and 2 lone pairs on Xe, giving an octahedral
electron geometry; the lone pairs occupy axial positions to minimize
repulsion, resulting in a square planar molecular geometry with 90°
bond angles. Tetrahedral, see-saw, and trigonal bipyramidal
geometries correspond to different electron-domain counts or
lone-pair arrangements.
Question 4
A 2.50 L flask at 25°C contains a mixture of 0.020 mol N and 0.030 mol O.
What is the partial pressure of N?
A. 0.196 atm
B. 0.294 atm
C. 0.490 atm
D. 0.736 atm
Correct Answer: A - 0.196 atm
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, RATIONALE
Using ideal gas law: P = nRT/V = (0.020 mol)(0.08206
L-atm/mol-K)(298 K)/(2.50 L) = 0.196 atm. Distractors arise from
using total moles (0.050 mol gives 0.490 atm) or misapplying the gas
constant.
Question 5
For the reaction 2A + B -> C, the rate law is rate = k[A]²[B]. If the initial
concentration of A is doubled while B remains constant, by what factor does
the initial rate change?
A. 2
B. 4
C. 8
D. 16
Correct Answer: B - 4
RATIONALE
Rate is proportional to [A]², so doubling [A] increases rate by 2² = 4.
The concentration of B is unchanged, so its contribution remains
constant. Other factors would apply if both concentrations changed or
if the exponent were different.
Question 6
A 25.0 mL sample of 0.100 M HCl is titrated with 0.100 M NaOH. What is the
pH after adding 10.0 mL of NaOH?
A. 1.00
B. 1.30
C. 1.60
D. 2.00
Correct Answer: C - 1.60
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