14. The energy expressions for the electrons in the Het ion and the hydrogen atom are

E_n(H)=-a/n² and E_n (He⁺) =- 4a/n²

Which of the following statements is(are) correct?

Ⅰ.For the transitions n₁→ n2 , the frequency is larger for H than for He⁺.

II. The first ionization energy of the H atom is smaller than the second ionization energy of the He atom. 

 III. The 1s orbital in He' is larger (in the sense that the probability density is shifted outward) than the is orbital in H.
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III

10. Consider the reaction3A+B+C→D+Ewhere the rate law is defined as   An experiment is carried out where [B]0 = [C]0 = 1.00 M and [A]0 = 2.72 x 10-4 M. What is the half-life for this experiment? (A) 8.19 x 10-7s (B) 1.36 x 10-5s (C) 4.17 x 10-3s (D) 2.21 x 101s (E) 1.66 x 102s

11. The rate law for a reaction is found to be Rate = K[A]2[B]. Which of the following mechanisms gives this rate law?  (A) I only (B) II only (C) III (D) I and Il (E) II and III

12. Which of the following statements is(are) true?I. An excited atom can return to its ground state by absorbing electromagnetic radiation. Ⅱ.energy of an atom is increased when electromagnetic radiation is emi III. The energy of electromagnetic radiation increases as its frequency increases.IV. An electron in the n = 4 state in the hydrogen atom can go to the n = 2 state by emitting electromagnetic radiation at the appropriate frequency.V. The frequency and wavelength of electromagnetic radiation are inversely proportional to each other. (A) II, III, IV (B) III, V (C) I, II, III (D) III, IV, V (E) I, II, IV

13. An electron in a one-dimensional box requires energy with wavelength 8080 nm to excite it from the n = 2 energy level to the n = 3 energy level. Calculate the length of the box. (A) 1.00 nm (B) 1.50 nm (C) 2.50 mm (D) 3.00 gm (E) 3.50 nm

15. The wavelength of light associated with the n = 2 to n = 1 electron transition in the hydrogen spectrum is 1.216 x 10-7 m. By what coefficient should this wavelength be multiplied to obtain the wavelength associated with the same electron transition in the Li2+ ion? (A) 1/9 (B) 1/7 (C) 1/4 (D) 1/3 (E) 1

16. A strip of copper is placed in a 1 M solution of copper nitrate, and a strip of silver is placed in a 1 M solution of silver nitrate. The two metal strips are connected to a voltmeter by wires, and a salt bridge connects the solutions. The following standard reduction potentials apply: When the voltmeter is removed and the two electrodes are connected by a wire, which of the following does not take place? (A) Electrons flow in the external circuit from the copper electrode to the silver electrode. (B) The silver electrode increases in mass as the cell operates. (C) There is a net general movement of silver ions through the salt bridge to the copper half-cell. (D) Negative ions pass through the salt bridge from the silver half-cell to the copper half-cell. (E) Some positive copper ions pass through the salt bridge from the copper half-cell to the silver half-cell.

17. The standard potential for the reaction is 0.51 V. What is the equilibrium constant K for this reaction at 250C? (A) 6.3 x 1025 (B) 1.6 x 10-26 (C) 17 (D) -17 (E) 0.015

18. Which of the following is not a valid resonance structure for N3-?(A)(B)(C)(D)(E) All are valid.

19. Consider the following molecules.Ⅰ.BF3 Ⅱ.CHBr3 (C is the central atom.) III. Br2 IV. XeCl2 V. COVI. SF4 Select the molecule(s) that fit the given statement. These molecules have a zero net dipole moment. (A) III, V (B) III, IV (C) I, III, IV (D) III, IV, V (E) I, IIIL, IV, VI Il.

20. Which of the following is diamagnetic? (A) H2+ (B) C2+ (C) N2+ (D) N2 (E) F2+