50. 調製化妝品時，主要以下列何者來調節產品之流變性？
(A) 增稠劑
(B) 防腐劑
(C) 抗氧化劑
(D) 香料

1. What is the slope when we plot the ln k verses 1/T, and where k is the rate constant? (hint: using the Arrhenius equation) (A) $-\frac{E_a}{R}$ (B) Equilibrium constant (C) Joule coefficient (D) Planck constant.

2. Suppose the sun's surface temperature is 5800 K, and the peak wavelength of its emission is 500 nm. What is Venus's peak thermal radiation wavelength (surface temperature is about 730 K)? (A) 400 nm (B) 4,000 nm (C) 1,000 nm (D) 10,000 nm.

3. What is the unit of the rate constant of a first-order reaction? (A) no unit (B) \(t^{-1}\) (C) \(M^{-1}t^{-1}\) (D) \(M^{-2}t^{-1}\)

4. Which of the following molecules is not a greenhouse gas? (A) CO2 (B) C2H2 (C) O2 (D) CO.

5. What is the **selection rule** for particle-in-one-dimension-box? (A) \(\Delta S=0\) (B) \(\Delta J=0, \pm 1\)(C) \(\Delta V = \pm 1\) (D) \(\Delta n = \pm 1, \pm 3, \pm 5,....\)

6. Which one of the following Maxwell relations can be derived from one of the Gibbs equations \( dG = -SdT + VdP \)? (A) \( \left(\frac{\partial T}{\partial P}\right)_S = \left(\frac{\partial V}{\partial S}\right)_P \) (B) \( \left(\frac{\partial V}{\partial T}\right)_P = -\left(\frac{\partial S}{\partial P}\right)_T \) (C) \( \left(\frac{\partial P}{\partial S}\right)_V = -\left(\frac{\partial T}{\partial V}\right)_S \) (D) \( \left(\frac{\partial S}{\partial V}\right)_T = \left(\frac{\partial P}{\partial T}\right)_V \)

7. Which of the following molecules has unpaired electron(s) in the electronic ground state? (A) O2 (B) N2 (C) H2 (D) Cl2.

8. The term symbol for the ground electronic state of O2 is (A) 1Σg+ (B) 3Σg- (C) 1Πu (D) 1Πg

9. Which of the following is an eigenfunction of the operator $\hat{A} = \frac{\partial^2}{\partial r^2}$ (A) $e^{-r}$ (B) $e^{-r^2}$ (C) $\frac{1}{r}e^{-r}$ (D) $re^{-r}$

10. What is the point group of C2H4? (A) C2v (B) C2h (C) D2h (D) D2d.

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