Question

1. Titanium metal requires a photon with a minimum energy of 6.94 x 10- J to emit electrons. a. What is the minimum frequency of light necessary to emit electrons from titanium via the photoelectric effect? b. What is the wavelength of this light? c Is it possible to eject electrons from titanium metal using visible light? 2. Calculate the energies of an electron in the hydrogen atom when n=2 and when n=6. Calculate the wavelength of the radiation released when an electron moves from n=6 to n=2. Is this line in the visible region of the electromagnetic spectrum? If so, what color is it? 3. Use the de Broglie relationship to determine the characteristic wavelengths of the following: a. A 63 kg poodle running at 48 km/hr b. A 7.87 g bullet fired at 327 m/s c. A lithium atom moving at 3.7 x 10 m/s d. A molecule of buckminsterfullerene (Co) travelling at 220 m/s 4. Give the values for the quantum numbers n, I, and m; for each orbital in the following shells, and sketch the shape and orientations of their orbitals: a. 3p b. 2s d. 2p 5. Write the condensed electron configurations for the following atoms, and indicate how many unpaired and valence electrons there are: a. Mg d. V b.Ge c. Br e. Y f. Lu c5d

Answer 1

​
la) E hv E -19 6.94 x/o I -34 6.634x 10 -1 1.04x10 1.0 4X101S C = A velecity f lys hiquiney A=wavelenyth Z x10 - 1 1.04 x 1015 - 7 2.88x10 No t i not pornible to ejuet electrons (e) faom to fegueny ot viible ujkt Reason that fhe This is due the Liph is n the urey vieible order t 144 1o Hzwtuch leser than the fraquenay Auquired to eit ejeet electrons om titanium C 1.04 X10

Due to Lower en possible bejeet electrn is not 1. 2 10 9677 cm 2 2 l0967부( Cam -1 36 ( -1 1016구7( 243구2.66 -92yp57 cm em 36 - 5 4.10x 1o cm A = 11 24-3 66 -4 m A= 4.10 x Jo m 4.10 X10 メ10 4.10 X10 나10 n m Trus waneleng th ies n visible egion of electomagnied gpectum Codour Violet

A =h a. -34 ゴS. 6.6メ/0 63 kg x 48 km/ha -3 4 Js メ 48メ0 3600 s 63 m - 34 -3 x 3600 s メ )o 6.6X10 丁s 63X48 k9- m -39- 3 23t60 X10 1 30 24 -37 子854 ×10 A = -34 6.6X10 J S -3 327 m/s 3 1 6. 6 X lo 2573.49 -31 o. 00256 (l N

m 24 1.15 X10 -34 6.6 X1O Ts ny x 3.4 Xl0 m/s 1.16 X10 -34+26-S 10 6.6 - 1-15 X 3.7 13 1.55 X10 4 m=-1, 0, 2S n: 2, lao,m0 2S C) n=5, k 2, m: -2,-1, o, 1,2

dy 770 dy3 dez (d) 2p n 2, -, m -, 0, t1 2Pr

s a My [Ne] 3s Valence electons 2, Unpaied elechos =o ) Ge [A] 3d 4s 4p Valemce electons=4, Unpaned elechons 2 10 (e) BA: Ar7 3d 4s 4p Valence elechons 2 7lnpaiced clectms = 1 V: CAr7 3d4s Nalence eleetins = 2, Unpaned electons = Y[KA] 4d'ss Valeuce electrsns = 2, Unpaned electons 14 u-Lxel-4f" sd' 6s Valence elections I = 2, Unbaiied elections