CH7-10_quant_prob

CH7-10_quant_prob - Extra Problems for Chapters 7 - 10 . a)...

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Unformatted text preview: Extra Problems for Chapters 7 - 10 . a) For green light of wavelength 5200 A, what is its frequency? [5.8 ><1014 s‘l] ' b) If an atom were to emit a photon whose wavelength was 5200 A, how much energy did the atom lose? [3.8 ><10"19 J] c) How much energy would a mole of these atoms lose? [230 kJ] . . Cesium metal requires 4. 78 X 10—19 J of energy to remove an electron from its surface. What is the longest wavelength of radiation sufficient to eject such a photoelectron? Why is this a maximum wavelength? [4.16 ><10“7 m] . a) How much energy is required to remove the electron from the ground state of a hydrogen atom? ' [2. 17987 x 10-18 J] b) What wavelength of light would remove the electron? [9.11269 ><10“8 m] -2- 4. One of the emission lines in the spectrum of atomic hydrogen corresponds to a photon energy of 4. 59 x 10—19 J. a) What is the frequency of this light? [6. 92 X 1014 s"1] b) What is the wavelength of this light? [4. 33 x 10—7 m] c) For this transition the electron ends up in the n = 2 level. _ From what level did the elec- tron originate? [n=5] 5. Photogray lenses have small amounts of silver chloride in their glass. When light strikes the AgCl particles the lenses darken due to the following reaction AgCl —> Ag + C1 The enthalpy change for the reaction is 310 .kJ mol‘l. If all this energy were to be supplied by light, what is the maximum wavelength of the light that can cause this reaction? [386 nm] 6., What is the ionization energy of Li2+ i. e., the energy for the process Li2+(g) —-> Li3+(g). + e” [1.96188><10“17 J] 7. What is the wavelength of a) an electron moving at ’5. 93 X 105 m s_1? [1. 23 ><10“9 m] b) a 200.0 g baseball thrown at 60 mi hr“1 (26.8 m s‘l)? [1.24x10‘34m] I 8. Upon absorption of a photon the deBroglie wavelength of a sodium atom is 10‘4 Hi. What is the speed of the atom? [1.74X10‘4ms'1] 9. If the uncertainty in the position of an electron were 3. 00X 10’7 m what is the minimum uncertainty in its speed? ‘ [193 ms‘l] -4- 10. For each of the following write down explicitly what is requested. a) Equation giving the second ionization energy of H6“, i. e., the energy for the process He+(g) —> He2+(g) + e“ b) Speed of a particle of mass m whose deBroglie wavelength is A. c) If sufficient energy were given to just ionize a hydrogenic atom what would be the value of its final principal quantum number? (1) If an electron in a hydrogenic atom has an ml value of —4 what is the smallest principal quantum number it couldvhave? e) If an electron in a hydrogenic atom had a principal quantum number of 10 how many different orbitals might .it be found in? 0 Define a hydrogenic atom. 11. Complete the following table. -- -- 12. Complete the following table. 13. For each of the following pairs circle which a) has the weaker bond HCl vs HBr b) is the weaker acid HF vs HCl c) has the shbrter bond length HCl vs HBr d) is the less electronegative Rb vs Cs e) is the less polar HCl vs HBr -- Liz vs B2 HClO vs HBrO Liz vs B2 H vs F BH3 vs NH3 F2 vs C12 HClO vs HC102 F2 vs C12 Br vs I C02 VS -6- 14. Give the complete ground—state electron configuration, ordered according to energy, for each of the following omitting the distinction between different values of ml. Underline the valence electrons. a) P i b) Hg *c) Sez' d) Sc“ 15. ~Give the complete ground—state electron configuration, ordered according to energy, for each of the following omitting the distinction between different values of ml and using the notation for the noble-gas core Such as [He], [Ne]. ' a) Ni vb) N12+ c) I— d) In3+ l6. Determine the number of valence electrons in an I atom. Give the electron configuration for these valence electrons ordered according to energy. In the molecule ICl3, how many addi— . tional electrons are about I? Place these electrons in their appropriate orbitals. Which orbitals are now occupied? [5525p65d2] -7- Potentially Useful Information PV = nRT ' qV = AE (with only PV work) q = CAT qp 2 AH (with only PV work) AE : q + w A w = —PextAV (PV work) H = E + PV AS = qrcv/T (atconstant T) G = H — TS At constant T, P AG = AH — TAS AG = AG° + RT an where AG° = — RT an K1 AH°1 1 1n—=—-—~—~ ~—— K2 R welec(max) = AG = — nFAg where Q 2 It 2 nF E = E0 — (0. 05916/n) log Q (at 25°C) where E" = (RT/nF)1n K k = A exp(—Ea/RT) for the reaction aA —9 products where ka = ak: _ ls‘order: [A] = [A]oexp(—kat); 2ndorder: 1/[A] = l/[A]0+kat; 3‘dorder: 1/[A]2'= 1/[A]3+2kar E = hv v2. = c mu/l = h A(mu)Ax 2 h/47r En = —Z2Ry/n2 K=°C+273.15 I 1J=1kgm28‘2 R = 8.31447 J mol‘1 K‘1 R = 0.0820578 L atm mol—1 K—1 F = 96,4853 C mol“1 h = 6.62607 x 10“34 J s Ry = 2.1799 x 10—18 J I c = 2.99792 x 108 m s'1 N0 = 6.02214 X 1023 mol‘1 me = 9.10939 x10 '31 kg ...
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CH7-10_quant_prob - Extra Problems for Chapters 7 - 10 . a)...

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