3. The temperature of 2.00 mol of hydrogen gas is raised 40.0 K at constant volume. The molecules in the gas rotate but do not oscillate. How much energy is transferred to the gas as heat Q?

(c) (4分）上述(a)小題半反應的標準還原電位為，（b)小題半 原電位為，請運用題目中的資訊，判斷之間的關係。【你的 回答請依此形式：Eb°＞0＞Ea° (這只是舉例！）並說明原因。】

(d) (2分）加入「鋅粒」一段時間後，溶液一直呈現綠色且不再改變，直到加 入「鋅粉」之後，溶液很快就變成紫色，請說明原因。

1. In physics, the Planck length is a unit of length. It is developed by physicist Max Planck. The Planck length can be defined from three fundamental physical constants: the speed of light in vacuum c, the Planck constant h, and the gravitational constant G. Please use the dimensional analysis to derive the Planck length from c, h, and G.

2. Water is moving with a speed of 4 m/s through a pipe with a cross-sectional area of 5 cm2. The water gradually descend 10 m as the pipe increases in area to 10 cm2. If the pressure at the upper level is 1.5 x105 Pa, what is the pressure at the lower level? (g=10 m/s2)

4. Two waves are generated on a string of length 3.0 m to produce a three-loop standing wave with an amplitude of 1.0 cm. The wave speed is 100 m/s. Let the equation for one of the waves be of the form y(x,t) = ym sin(kx + ωt). In the equation for the other wave, what are (1) k, and (2) ω?

5. An ambulance with a siren emitting a whine at 1710 Hz overtakes and passes a cyclist pedaling a bike at 10 m/s. After being passed, the cyclist hears a frequency of 1575 Hz. How fast is the ambulance moving? (the speed of sound in air is 340 m/s)

6. A thin flake of mica(n = 1.58) is used to cover one slit of a double-slit arrangement. The central point on the screen is occupied by what used to be the seventh bright fringe. If A = 6380 Å(in vacuum), what is the thickness of the mica?

7. The electric field in a region of space has the components Ey = Ez = Q and Ex = 4.00x (N/C). Point A is on thej; axis at y = 3.00 m, and point B is on the x axis at x = 4.00 m. What is the potential difference VB - VA?

8. Three charges of +0.1 C each are placed on the corners of an equilateral triangle, 1.0 m on a side. If energy is supplied at the rate of 1.0 KW, how many hours would be required to move one of the charges onto the midpoint of the line joining the other two?

9. Figure 1 shows a wood cylinder of mass m = 0.25 kg and length L =0.10 m, with N = 10 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long central axis of the cylinder. The cylinder is released on a plane inclined at an angle 6 to the horizontal, with the plane of the coil parallel to the incline plane. If there is a vertical uniform magnetic field of magnitude B = 0.50 T, what is the least current I through the coil that keeps the cylinder from rolling down the plane?