Question

Calculate the proportion of molecules of iodine (L) in their ground, first and second excited vibrational states at 25°C. The vibrational, wavenumber is 214.6 cm Hint E-hc (Ans: Po-0.645, P1-0.229. and P2-0.081) At what temperature would the vw1 level of I have (a) half the population of the ground state, (b) the same population of the ground state? (Ans: (a) 445K (b) infinite) 001439m h 6.6261x10 .5 c* 2.9979x10 m.s k 1.3507 x 10 JK = 4.7991x1015 K

any help would be great thanks

Answer 1

X Modeway Vibrational Partition fumelios (qviu] Harmonie Oscillator model efni - (1984) by U= vibrational quantom no. V = frequency of 20 Bellatrón 020,114,3.; 29.20 e-p(0) Pris : e Balese phone Iusicce the bracker 7 Hatex? +.... que phir - 2 pho 1 tel te very small گی , cs Scanne Trice - Ophelial cephe_13

e Wk47 - ) Muppose = hoia Orio vibrational temperature so we get quid = e Orio for a single vibrational oscillator to = e(oth hope Prieto the probability having'e wibrahonda slate = e-phono xe phil e-shop toe-phy on = e-phol (a mea Phy) Scanned with CamScanner

vo Val V22 4. Chae-P ] Phi P1 - Phi - do = i-e Bho fo = i-e1037. to = 1-0.355 Jo -0.668) H4, 30.3571-0.357 Hi a 0.35580.645 18; = .229 molt poc 0.125 126 p2 = [1-0.355] 2 = 0,645•125=6€ 1* SI) DA IT-e-Bhol - – 1: 44 ken x 2 14.6 cm 53 15 Ilē the scene 298k pa kota banderes Tor-e-30248 24 298 E T= 25°C= 25 +273k 9 - 214600 hoc-304 =Ine-1.0 3.7 = 298 - 0.61439 km 1-0.355 = 0.645 an 1.44 km D Nzze;"K67 wid NIN when : Ng = N, Nala é KBT Ginsen N/N = ? 32 adotton 1 - 309.024 e Tidende Se309.me In0.5 = - 309.024 e 0 T - 309,024 in 1 - 309. o 24 I a - 309.0243 309.024 In ois +0.693 CS Scanned with T = 445.8 k 1 CamScanner T | T: -309.024 20 letişim utfialky