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- Problem 1 Consider the vibration of a gaseous iodine molecule, I2, with force constant k = 172 N/m. (a) Calculate the ground state energy (in eV) of this molecule. (b) Is the molecule infrared active? Explain. Is the molecule rotationally active? Explain.14:21 < Back Tutorial-quantum and groupT... 5 of 31 Problem 4 .ll 4G 12 A strong absorption of infrared radiation is observed for ¹H³5Cl at 2991 cm-1 a) Calculate the force constant k for this molecule. b) By what factor do you expect this frequency to shift if deuterium is substituted for hydrogen in this molecule? The force constant is unaffected by this substitution. Problem 5 Calculate the zero-point energy of a harmonic oscillator consisting of a particle of mass 5.16 X 10-26 kg and force constant 285 N m-¹. Problem 6EXERCISE 6 Calculate the rotational contribution to the molar sum of states, q, for the HD gas at 64 K. It is given that: OR = 64 K.
- Please answer parts a,b,c,g,h,I onlyWhich of the structures have a major peak between 1700 and 3000 cm¹? (Select all that apply). none of these CIProblem 7: Helium is a very important element for both industrial and research applications. In its gas form it can be used for welding, and since it has a very low melting point (only 0.95 K under 2.5 MPa) it can be used in liquid form to cool superconducting magnets, such as those found in particle physics experiments. Say we have a cylinder of n = 105 moles of Helium gas at room temperature (T = 20° C). The cylinder has a radius of r = 12.5 cm and a height h = 1.57 m. Part (a) What pressure (in kPa) is the helium gas under? Part (b) Helium is usually kept in the highest pressure gas cylinders, which can typically withstand at least 500 atm of pressure. Would the tank in part (a) be able to maintain its structural integrity? Part (c) In principle, these tanks could fail if the temperature of the Helium started rising - if they were stored in a hot environment, for instance. To determine how much of a danger this is, calculate the temperature (in C) the Helium gas would have to…
- Which of the structures have a major peak above 3000 cm¹? (Select all that apply). la OHKa for HF is 6.8 x10-4. Calculate Kb, for F-? a)1.5x 10-11 b)6.8x 10-10 c)6.8x 10-18 d) 6.8x 10-10 e) 1.5x 10-3Concept Check: Photodissociation/Photoionization Sample Problem 4. The bond energy in N, is 941 kJ/mol. What is the longest wavelength photon that has sufficient energy to dissociate N,? Ans. 127 nm