The values for H 37 Cl are v 0 =2885.5 α e =-0.30 B e =9.95 D e =-3.28E-4, with percent errors compared against literature values of 0.056%, 0.43%, 5.85% and 38.14%, respectively Introduction The purpose of this lab is to experimentally determine constants by analyzing the vibration-rotation quantized energy levels of the hydrochloric acid (HCl). The quantum mechanics of rotational and vibra-tional motion is only one step beyond the Fundamental is in the circle. Ref. Thermochemistry determine the heat exchanged at constant pressure, q = m c ∆T.. Value (Unc.) Where α = vibration – rotation interaction constant (α = alpha in the table) I = 16.8575/B gives the moment of inertia I, where B is in units of cm-1 and I has units of amu Angstroms 2 (1 Angstrom = 10-8 cm). Peaks between them are an HCl impurity. r0 h 8 2 c B0 r0 127.189pm r1 h 8 2 c B1 r1 131.171pm re h 8 2 c Be re 125.33pm Calculate the force constant using the value of 0. k 0 1 2 c k = solve k float 4 .4806e-1 m 2 sec 2 Values in cm-1. Equation (1) is a consequence of Hooke's law, which states that the force between two linked masses is proportional to the displacement … Ref. Only those expressions and constants in bold type will concern us; for example, Dv for HCl is ~5 × 10–5 Bv, which is so small it alters transition energies by an amount too Ref. The experimental values are what are actually derived after completing the experiment, and these can be attributed to a variety of factors, including the nature of the chemicals, as well as equipment and experimenter technique. The force (spring) constant of HCl 477.8 N/m, and the force constant of DCl is 487.95. Now calculate r0, r1, and re using the values of B0, B1 and Be. HCl Hydrogen Chloride 1 H 35 Cl 2 H 35 Cl 3 H 35 Cl 3 H 37 Cl; Constant Value (Unc.) HCl molecule, which is modeled as two nu-clei connected by a “spring” representing the interatomic force. The constant k is called the force constant and its value reflects the strength of the force holding the two masses to each other. Atwood, M.R. Why should these values differ by 10 N/m? Ref. coupling constant ωe = the fundamental vibrational constant ωexe = the first anharmonic correction constant. Value (Unc.) Value (Unc.) Calculating the limiting reactant, the change in enthalpy of the reaction, ∆H rxn, can be determined since the reaction was conducted under conditions of constant pressure ∆H rxn = q rxn / # moles of limiting reactant. [all data], Ogilvie and Koo, 1976 Liquid nitrogen is used because it will condense gas phase HCl quicker and more efficiently than dry ice. The system is called a non-rigid rotator and the nuclear motion consists of simultaneous rotations and vibrations. • HCl has a B value of 10.593 cm‐1 and a centrifugal distortion constant D of 535.310*10‐4 cm‐1 estimate the vibrational frequency and force constant of the molecule? HCl(aq) + NaOH(aq) --> NaCl(aq) + H 2 O(l) + Energy. Y 01 [MHz] 317 582.62(100) 65004: 163 350.8(50) 62001: 112 296(300) 56003: 111 601(300) 56003: The number in this equation derives from the quantity h/8π 2 c where c = velocity of light.. Be = the equilibrium rotational constant αe = the vib.-rot. Is a D-Cl bond somehow stronger than an H-Cl bond? The theoretical literature value is the value that is expected based on the reactions taking place.