109年 - 109 臺北市市立國民中學正式教師聯合甄選：理化(雙語)科 #85963

51. When 10 cm³ of a gaseous hydrocarbon is burned in excess oxygen, the products consist of 30 cm³ of carbon dioxide and 30 cm³ of water vapor, measured under the same conditions of temperature and pressure. Determine the molecular formula of the hydrocarbon C_xH_y. (A) x=2, y=4 (B) x=3, y=6 (C) x=4, y=8 (D) x=5, y=10

52. What information about the structure of a hydrogen atom can be gained from its emission spectrum? (A) The electron in the hydrogen atom is held near the nucleus. (B) The electron may exist in any of several energy levels. (C) Most of the mass of the atom is in its nucleus. (D) A hydrogen atom contains one proton and one electron.

53. Which of the following compound is the most ionic? (A) Al₂O₃(B) MgCl₂ (C) HCl (D) KF

54. The following reaction achieves equilibrium at 400K: 4H_2(g) + 2NO_(g)→2H₂O_(g)+ N_2(g)At constant temperature, increasing the volume of the reaction vessel will (A) increase the reaction rate. (B) condense water vapor into liquid. (C) produce more hydrogen gas. (D) produce less nitrogen monoxide.

55. Which methods will help us to distinguish between equimolar solutions of a strong base and a strong acid? I. Add magnesium to each solution and look for the formation of gas bubbles . II. Add aqueous sodium hydroxide to each solution and measure the temperature change. III. Measure the electrical conductivity of each solutions. (A) I and II only (B) I and III only (C) II and III only (D) I, II, and III

56. The data in the table below were obtained for the reaction A + B → C. Which of the following is the rate law for the reaction? (A) Rate = k[A] (B) Rate = k[A][B] (C) Rate = k [A][B]2 (D) Rate = k[B] 7

57. During the electrolysis of a molten salt, which statement is not correct? (A) The ions only move when a current flows. (B) Positive ions are attracted to the negative electrode. (C) Positive ions gain electrons at the negative electrode. (D) Negative ions lose electrons at the positive electrode.

58. Sn(s) + 2Fe³⁺(aq) → Sn²⁺(aq) + 2Fe²⁺(aq) Tin metal reacts with aqueous Fe³⁺ions according to the equation above. Which of the following factors will increase the rate of this reaction? I. Increasing the ion concentration Fe³⁺II. Decreasing the size of the tin pieces (A) I only (B) II only (C) Both I and II (D) Neither I nor II

59. The curve above is obtained for the reaction of an excess of CaCO₃ with hydrochloric acid. How and why does the rate of reaction change with time?(A)(B)(C)(D)

60. Which energy value(s) will change when a catalyst is added? (A) I only (B) II only (C) II and III only (D) I, II and III

61. Which set of coefficients properly balances the equation for the combustion of ethane? __ethane(g) + __oxygen(g) → __carbon dioxide(g) + __water(g) (A) 1, 7, 2, 3 (B) 1, 2, 1, 2 (C) 2, 7, 4, 6 (D) 1, 4, 1, 2

62. Which of the following are state functions? (A) Work, enthalpy (B) Heat, enthalpy (C) Enthalpy, internal energy (D) Work, heat

63. What is the valence electron configuration of S? (A) 1s² 2s² 2p⁶ (B) 1s² 2s² 2p⁶ 3s¹ 3p⁵ (C) 4s² 4p⁴ (D) 3s² 3p⁴

64. Which of the following statements is true for a monatomic ideal gas? (A) C_v< C_p (B) C_v > C_p(C) C_v = C_p (D) More information is needed

65. Assume ψ is a solution to the Schrödinger equation. If HΨ=EΨ for a system, the quantity ΨΨ* dτ is interpreted as . (A) the energy of the system. (B) the probability of finding the system at some particular configuration. (C) the momentum of the system. (D) the orbit of the system.

66. Which of the following chemical or physical changes is an endothermic process? (A) The mixing of nitric acid and water (B) The freezing of water (C) The evaporation of water (D) The combustion of methane

67. How could you convert an unsaturated fatty acid into a saturated fatty acid? (A) KMnO4, H3O+ , heat (B) NaBH4, H2O, heat; then H3O+ (C) H2, Ni, pressure (D) H3O+ , H2O, heat

68. The enthalpy of formation of an element in its standard state is . (A) the enthalpy of its reaction with oxygen. (B) determined by its melting point. (C) the enthalpy of its reaction with carbon. (D) zero.

69. Which order reaction in the following is the half-life of the reaction independent of the initial concentration of the reactant(s)? (A) Zero order (B) First order (C) Second order (D) More information is needed

70. Which is the major product of the following reaction? (A) I (B) II (C) III (D) IV

71. A small object of mass m is suspended from a fixed point O by a light, inextensible cord. The object is raised until the cord is horizontal and then released. It moves in an arc of a circle as shown in the figure above. When it passes through its lowest position at point P, the tension in the cord is__________ . (A) 3mg. (B) 2mg. (C) 1mg. (D) 0mg.

72. A small object of mass m at 100℃ is placed into an equal mass of water at 0℃ in a calorimeter. The specific heat of the object is half that of the water. Assuming there are no energy transfer to the environment or to the calorimeter, the final equilibrium temperature of the object plus water will be__________ . (A) 25℃. (B) 33℃. (C) 50℃. (D) 67℃.

73. Two identical objects A and B fall from rest from different heights to the ground. Assume the air resistance can be neglected. If object B takes twice as long as object A to reach the ground, what is the ratio of the heights (h_A/h_B) from which A and B fell? (A) h_A/h_B = (B) h_A/h_B = 1/2 (C) h_A/h_B = 1/4 (D) h_A/h_B = 1/8

74. Suppose that a car traveling to the west (the -x direction) begins to slow down as it approaches a traffic light. Which statement concerning its acceleration in the x direction is correct? (A) Its acceleration is positive but its velocity is negative. (B) Its acceleration is negative but its velocity is positive. (C) Both its acceleration and its velocity are positive. (D) Both its acceleration and its velocity are negative.

75. For a general projectile motion, when the projectile is at the highest point of its trajectory, ________. (A) its acceleration is zero. (B) its velocity is perpendicular to the acceleration. (C) the horizontal component of its velocity is zero. (D) the horizontal and vertical components of its velocity are zero.

76. A string is attached to the rear-view mirror of a car. A ball is hanging at the other end of the string. The car is driving around in a circle, at a constant speed. Which of the following lists gives all of the forces directly acting on the ball? (A) Tension (B) Tension and gravity (C) Tension, gravity, and the centripetal force (D) Tension, gravity, the centripetal force, and friction 10

77. A 4.00 kg block rests between the floor and a 3.00 kg block as shown in the figure below. The 3.00 kg block is tied to a wall by a horizontal rope. If the coefficient of static friction is 0.800 between each pair of surfaces in contact, what horizontal force F must be applied to the block to make it move? (A) 16.2 N (B) 23.5 N (C) 54.9 N (D) 78.4 N

78. The current definition of the standard second of time is based on . (A) the earth's rotation rate. (B) the duration of one year. (C) the frequency of radiation emitted by cesium atoms. (D) the oscillation of a particular pendulum kept in France.

79. Two stones, one of mass m and the other of mass 2m, are thrown directly upward with the same velocity at the same time from ground level. Assume the air resistance can be neglected. Which statement about these stones is true? (A) Both stones will reach the same height because they initially had the same amount of kinetic energy. (B) The heavier stone will go twice as high as the lighter one because it initially had twice as much kinetic energy. (C) At their highest point, both stones will have the same gravitational potential energy because they reach the same height. (D) At its highest point, the heavier stone will have twice as much gravitational potential energy as the lighter one because it is twice as heavy.

80. A long straight wire is in the plane of a rectangular conducting loop of wire. The straight wire carries a constant current I as shown in the figure below and is moved towards the rectangular loop. While the wire is being moved towards the rectangular loop, the current in the loop ___________. (A) is always zero. (B) flows clockwise around the loop. (C) flows counterclockwise around the loop. (D) alternates, first one way then the opposite way around the loop. 11

81. In the diagram below the voltmeter V has a resistance of 100 kΩ and is connected such as to measure the potential difference across the 100 kΩ resistor. The battery has an emf of 5.0 V and negligible internal resistance. The reading on the voltmeter will be__________ . (A) 4.0V. (B) 2.5V. (C) 1.0V. (D) 0V.

82. When light goes from one material into another material with a higher index of refraction,_________ . (A) its speed, wavelength, and frequency all decrease. (B) its speed and wavelength decrease, but its frequency stays the same. (C) its speed decreases but its wavelength and frequency both increase. (D) its speed decreases but its frequency and wavelength stay the same.

83. When a rocket is traveling toward a mountain at 100 m/s, the sound waves from this rocket's engine approach the mountain at speed of V. If the rocket doubles its speed to 200 m/s, the sound waves from the engine will now approach the mountain at speed of_________ . (A) 4V. (B) 2V. (C) V. (D) V.

84. Assume water is an incompressible fluid. If you double the pressure on the surface of a can of water, the buoyant force on a stone placed in that water will_________ . (A) double. (B) not change. (C) increase, but not double. (D) decrease, but not by one-half.

85. An object is placed in front of a lens which forms an image of the object. (A) If the lens is convex, the image cannot be virtual. (B) If the image is real, then it is also inverted. (C) If the image is real, then it is also upright. (D) If the image is virtual, then it is also inverted.

86. An electron, moving toward the west, enters a uniform magnetic field. Because of this field the electron curves upward. The direction of the magnetic field is___________ . (A) upward. (B) downward. (C) towards the north. (D) towards the south.

87. John is pushing a heavy box up a ramp at a constant speed. There is friction between the ramp and the box. The box___________ . (A) is gaining potential energy but losing kinetic energy. (B) is gaining potential energy and kinetic energy. (C) is only gaining potential energy. (D) gains no energy.

88. A man pushes a car along a road. He exerts a force F on the car. In this situation, what is the equal and opposite force to F (i.e., ‘reaction’ force) as referred to in Newton’s third law? (A) The force exerted on the person by the car (B) The force of friction on the car by the road (C) The force of gravity on the car by the earth (D) There is no reaction force if the car moves in the direction of F

89. A 20.0 kg uniform plank is supported by the floor at one end and by a vertical rope at the other as shown in the figure below. A 50.0 kg mass person stands on the plank a distance three-fourths of the length plank from the end on the floor. What is the tension in the rope? (A) 165.5N (B) 265.5N (C) 365.5N (D) 465.5N

90. Consider the waves on a vibrating guitar string and the sound waves the guitar produces in the surrounding air. The string waves and the sound waves must have the same____________ . (A) wavelength. (B) velocity. (C) frequency. (D) amplitude.

109年 - 109 臺北市市立國民中學正式教師聯合甄選：理化(雙語)科 #85963

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