Okay, let's break down each of these multiple-choice questions with detailed explanations:
43. The F-N-F bond angle in the NF3 molecule is slightly less than ___.
A) 90˚ B) 109.5 ˚ C) 120˚ D) 180˚
Correct Answer: B) 109.5˚
Explanation:
- NF3 has a central nitrogen atom bonded to three fluorine atoms and one lone pair of electrons. According to VSEPR theory, the electron pairs (bonding and non-bonding) around the nitrogen atom arrange themselves to minimize repulsion. This arrangement results in a tetrahedral electron geometry. However, the lone pair repels the bonding pairs more strongly than bonding pairs repel each other. As a result, the F-N-F bond angle is compressed slightly from the ideal tetrahedral angle of 109.5˚. Therefore, the bond angle is slightly less than 109.5˚.
44. The angles between sp2 orbitals are _.
A) 90˚ B) 109.5˚ C) 120˚ D) 180˚
Correct Answer: C) 120˚
Explanation:
- sp^2 hybridization involves the mixing of one s orbital and two p orbitals, resulting in three sp^2 hybrid orbitals. These orbitals arrange themselves in a trigonal planar geometry to minimize electron repulsion. In a trigonal planar arrangement, the angle between the hybrid orbitals is 120˚.
45. The blending of one s atomic orbital and two p atomic orbitals produces __.
A) three sp hybrid orbitals B) three sp2 hybrid orbitals
C) three sp3 hybrid orbitals D) two sp3 hybrid orbitals
Correct Answer: B) three sp2 hybrid orbitals
Explanation:
- When one s atomic orbital and two p atomic orbitals blend, they form three sp^2 hybrid orbitals. This hybridization is characterized by one s and two p orbitals combining to form three new, equivalent orbitals.
46. The π bond in ethylene, CH2CH2, results from the overlap of ___.
A) sp3 hybrid orbitals B) s atomic orbitals
C) sp2 hybrid orbitals D) p atomic orbitals
Correct Answer: D) p atomic orbitals
Explanation:
- In ethylene (CH2CH2), each carbon atom is sp^2 hybridized. The sigma (σ) bond between the carbon atoms is formed by the overlap of sp^2 hybrid orbitals. The pi (π) bond is formed by the sideways overlap of the remaining unhybridized p atomic orbitals on each carbon atom.
47. The amount of gas that occupies 60.82 L at 31˚ C and 367 mm Hg is _ mol.
A) 1.18 B) 0.850 C) 894 D) 11.6
Correct Answer: A) 1.18
Explanation:
- Use the ideal gas law: PV = nRT, where:
- P = pressure (in atm)
- V = volume (in L)
- n = number of moles
- R = ideal gas constant (0.0821 L atm / (mol K))
- T = temperature (in K)
- First, convert pressure from mm Hg to atm: P = \frac{367 \text{ mm Hg}}{760 \text{ mm Hg/atm}} ≈ 0.4829 \text{ atm}
- Convert temperature from Celsius to Kelvin: T = 31 + 273.15 = 304.15 \text{ K}
- Now, solve for n: n = \frac{PV}{RT} = \frac{0.4829 \text{ atm} \cdot 60.82 \text{ L}}{0.0821 \frac{\text{L atm}}{\text{mol K}} \cdot 304.15 \text{ K}} ≈ 1.18 \text{ mol}
48. The specific heat of lead is 0.13 J/g-K. How much heat (in J) is required to raise the temperature of 15 g of lead from 22 ˚C to 37 ˚C?
A) 7.8 B) 1.9 C) 19 D) 29
Correct Answer: D) 29
Explanation:
- Use the formula: q = mcΔT, where:
- q = heat (in J)
- m = mass (in g)
- c = specific heat (in J/g-K)
- ΔT = change in temperature (in K or ˚C)
- q = 15 \text{ g} \cdot 0.13 \frac{\text{J}}{\text{g K}} \cdot (37 - 22) \text{ ˚C} = 15 \cdot 0.13 \cdot 15 = 29.25 \text{ J}
- Round to the nearest whole number: 29 J
49. Which one of the following is a weak acid?
A) HNO3 B) HI C) HF D) HClO4
Correct Answer: C) HF
Explanation:
- Strong acids completely dissociate in water, while weak acids only partially dissociate. The common strong acids are HCl, HBr, HI, HNO3, H2SO4, and HClO4.
- HF (hydrofluoric acid) is a weak acid because it does not completely dissociate in water.
50. Which combination will produce a precipitate?
A) NH4OH (aq) and HCl (aq) B) AgNO3 (aq) and Ca(C2H3O2)2 (aq)
C) NaCl(aq) and HC2H3O2 (aq) D) NaOH (aq) and Fe(NO3)2 (aq)
Correct Answer: D) NaOH (aq) and Fe(NO3)2 (aq)
Explanation:
- A precipitate forms when two aqueous solutions are mixed and an insoluble compound is produced.
- Option D: Mixing NaOH (aq) and Fe(NO3)2 (aq) will produce Fe(OH)_2, which is an insoluble compound and precipitates out of the solution.
- 2NaOH(aq) + Fe(NO3)2(aq) → 2NaNO3(aq) + Fe(OH)2(s)
51. The density of chlorine (Cl2) gas at 25 ˚C and 450 torr is _ g/L.
A) 20 B) 4.9 C) 1.7 D) 0.86
Correct Answer: C) 1.7
Explanation:
- Use the ideal gas law to find the molar volume, then use the molar mass to find the density.
- First, convert pressure from torr to atm: P = \frac{450 \text{ torr}}{760 \text{ torr/atm}} ≈ 0.592 \text{ atm}
- Convert temperature from Celsius to Kelvin: T = 25 + 273.15 = 298.15 \text{ K}
- Use the ideal gas law to find the molar volume (V/n): $$V/n = \frac{RT}{