First-order decay kinetics ln(a/a 0 ) = kt ln (A) = kt + ln (A 0 ) kt 1/2 = 0.693

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General Chemistry 2 Exam 1 Summer 2008 Kingsborough Community College Dept. of Physical Sciences Each question is worth 3 points. Mark your answers on the exam and on the scantron form. First-order decay kinetics ln(a/a 0 ) = kt ln (A) = kt + ln (A 0 ) kt 1/2 = 0.693 [H 3 O + ][OH ] = K W = K a K b = 10 14 ph + poh = 14.00 ph = log [H 3 O + ] poh = log[oh ] E = Δmc 2 c = 3.0 x 10 8 m/s p = 10 12 n = 10 9 u = 10 6 m = 10 3 c = 10 2 k = 10 3 M = 10 6 G = 10 9

1. Alpha particles are identical to A. protons. B. helium atoms. C. hydrogen atoms. D. helium nuclei. E. electrons. 2. How many neutrons and protons (nucleons) does an atom with the symbol have? A. 33 B. 16 C. 49 D. 16 E. None of these. 3. When atoms of beryllium-9 are bombarded with alpha particles, neutrons are produced. What new isotope is also formed? A. B. C. D. E.

4. What is the missing symbol in this plutonium fission reaction? A. B. C. D. E. 5. A typical radius of an atomic nucleus is about A. 100 µm B. 5000 mm C. 100 nm D. 5 10-3 pm E. 500 pm 6. What is the nuclear binding energy per nucleon, in joules, for (atomic mass 24.985839 amu). [Data: (atomic mass) = 1.008665 amu; 1 p (mass) = 1.007825 amu; 1 kg = 6.022 10 26 amu; c = 3.00 10 8 m/s, 1 amu = 1.661 x 10 27 kg] A. 0.22076 J/nucleon B. 3.30 10 11 J/nucleon C. 1.32 10 12 J/nucleon D. 0.999 J/nucleon E. None of these. 7. What fraction of radioactive atoms remains in a sample after six half-lives? A. zero B. 1/6 C. 1/16 D. 1/32 E. 1/64

8. A rock contains 0.37 mg of Pb-206 and 0.95 mg of U-238. The half-life of the decay series U- 238 Pb-206 is 4.5 10 9 yr. Assuming no Pb-206 was present in the rock initially, how old is the rock? A. 1.7 10 9 yr B. 5.2 10 9 yr C. 2.7 10 6 yr D. 4.5 10 9 yr E. 2.4 10 9 yr 9. Charcoal found under a stone at Stonehenge, England, has a carbon-14 activity that is 0.60 that of new wood. How old is the charcoal? (The half-life of carbon-14 is 5,730 years.) A. Less than 5,730 yr B. Between 5,730 and 11,460 yr C. Between 11,460 and 17,190 yr D. More than 17,190 yr 10. The Rb-87/Sr-87 method of dating rocks is often used by geologists: t 1/2 = 6.0 10 10 yr Estimate the age of a rock sample in which the present-day mole ratio of Rb-87 to Sr-87 is 36:1. A. 2.4 10 9 yr B. 1.7 10 9 yr C. 3.1 10 11 yr D. 4.1 10 11 yr E. 3.6 10 11 yr

11. Which is the formula for the hydronium ion? A. OH B. H 2 O C. H 3 O + D. H 3 O E. H 2 O + 12. In the reaction HSO 4 (aq) + OH (aq) SO 4 2 (aq) + H 2 O(l), the conjugate acid-base pairs are A. Row 1 B. Row 2 C. Row 3 D. Row 4 E. Row 5 13. Identify the conjugate base of HSO 4 in the reaction H 2 PO 2 4 + HSO 4 H 3 PO 4 + SO 4 A. H 2 PO 4 B. H 2 SO 4 C. H 2 O D. H 3 PO 4 E. 2 SO 4 14. Which one of these statements about strong acids is true? A. All strong acids have H atoms bonded to electronegative oxygen atoms. B. Strong acids are 100% ionized in water. C. The conjugate base of a strong acid is itself a strong base. D. Strong acids are very concentrated acids. E. Strong acids produce solutions with a higher ph than weak acids.

15. One liter of an aqueous solution contains 6.02 10 21 H 3 O + ions. Therefore, its H 3 O + ion concentration is A. 0.0100 mole per liter. B. 0.100 mole per liter. C. 1.00 mole per liter. D. 6.02 10 21 mole per liter. E. 6.02 10 23 mole per liter 16. What is the concentration of H + in a 2.5 M HCl solution? A. 0 B. 1.3 M C. 2.5 M D. 5.0 M E. 10.M 17. The OH - concentration in a 2.5 10 3 M Ba(OH) 2 solution is A. 4.0 10 12 M. B. 2.5 10 3 M. C. 5.0 10 3 M. D. 1.2 10 2 M. E. 0.025 M. 18. Calculate the H + ion concentration in a 8.8 10 4 M Ca(OH) 2 solution. A. 8.8 10-4 M B. 1.8 10 3 M C. 2.2 10 11 M D. 1.1 10 11 M E. 5.7 10 12 M 19. A 0.14 M HNO 2 solution is 5.7% ionized. Calculate the H + ion concentration. A. 8.0 10 3 M B. 0.057 M C. 0.13 M D. 0.14 M E. 0.80 M

20. A 0.10 M NH 3 solution is 1.3% ionized. Calculate the H + ion concentration. NH 3 + H 2 O NH + 4 + OH A. 1.3 10-3 M B. 7.7 10 2 M C. 7.7 10 12 M D. 0.13 M E. 0.10 M 21. Calculate the H 3 O + ion concentration in lemon juice having a ph of 2.4. A. 4.0 10 2 M B. 250 M C. 0.38 M D. 4.0 10 3 M E. 12 M 22. Calculate the ph of a 6.71 10 2 M NaOH solution. A. 12.83 B. 2.17 C. 11.82 D. 6.71 E. 1.17 23. What is the ph of a 0.001 M Ca(OH) 2 solution? A. 3.0 B. 11.0 C. 2.7 D. 17.0 E. 11.3 24. The poh of a solution is 9.60 Calculate the hydrogen ion concentration in this solution. A. 2.5 10 10 M B. 6.0 10 9 M C. 4.0 10 5 M D. 2.4 10 4 M E. 1.0 10 14 M

25. Which solution will have the lowest ph? A. 0.10 M HCN B. 0.10 M HNO 3 C. 0.10 M NaCl D. 0.10 M H 2 CO 3 E. 0.10 M NaOH 26. Which one of these responses is true with regard to a 0.1 M solution of a weak acid HA? A. [H + ] > [A ] B. ph = 1.0 C. [H + ] < [A - ] D. ph > 1.0 E. [OH ] > [H + ] 27. Acid strength increases in the series: HCN < HF < HSO 4. Which of these species is the strongest base? A. H 2 SO 4 B. 2 SO 4 C. F D. CN E. HSO 4 28. Arrange the acids HOCl, HClO 3, and HClO 2 in order of increasing acid strength. A. HOCl < HClO 3 < HClO 2 B. HOCl < HClO 2 < HClO 3 C. HClO 2 < HOCl < HClO 3 D. HClO 3 < HOCl < HClO 2 E. HClO 3 < HClO 2 < HOCl 29. Which one of these net ionic equations represents the reaction of a strong acid with a weak base? A. H + (aq) + OH (aq) H 2 O(aq) B. H + (aq) + CH 3 NH 2 (aq) CH 3 NH + 3 (aq) C. OH (aq) + HCN(aq) H 2 O(aq) + CN (aq) D. HCN(aq) + CH 3 NH 2 (aq) CH 3 NH + 3 (aq)+ CN (aq)

30. Which of these species will act as a Lewis acid? A. NH 3 B. + NH 4 C. H 2 O D. BF 3 E. F 31. In the reaction CaO(s) + SO 2 (g) CaSO 3 (s), A. O 2 acts as a Lewis base, and SO 2 acts as a Lewis acid. B. Ca 2+ acts as a Lewis base, and SO 2 4 acts as a Lewis acid. C. SO 2 4 acts as a Lewis base, and SO 2 acts as a Lewis acid. D. SO 2 acts as a Lewis base, and O 2 acts as a Lewis acid. E. SO 2 acts as a Lewis base, and Ca 2+ acts as a Lewis acid. 32. Which one of the following salts will form an acidic solution on dissolving in water? A. LiBr B. NaF C. KOH D. FeCl 3 E. NaCN 33. What mass of sodium nitrite must be added to 350. ml of water to give a solution with ph = 8.40? [K a (HNO 2 ) = 5.6 10 4 ] A. 68 g B. 1.7 10 4 g C. 0.039 g D. 8.3 g E. 24 g

ANSWERS 1 D 2 A 3 A 4 E 5 D 6 C 7 E 8 E 9 A 10 A 11 C 12 A 13 E 14 B 15 A 16 C 17 C 18 E 19 A 20 C 21 D 22 A 23 E 24 C 25 B 26 D 27 D 28 B 29 B 30 D 31 A 32 D 33 D