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The vibrational frequency for 35 Cl 2­­ is 1.68 x 10 13 s -1 a) Find the value o

ID: 932660 • Letter: T

Question

The vibrational frequency for 35Cl2­­ is 1.68 x 1013 s-1

a) Find the value of the force constant for Cl-Cl bond.

b) Find the force constant and calculate what mass you would need to hang from a macroscopic spring with the same force constant by a distance of 2.54 cm. Use g = 9.81 m s-2 for the gravitation constant.

c) Find the zero point vibrational energy for Cl2 and

d) determine how fast the molecule would be going if all of this energy were converted into translational kinetic energy

e) Compare this speed, v to the vrms average speed for a Cl2 molecule at 300 K.

The classical expression relating the vibrational frequency, v, to the Hooke's law force constant, k, and reduced mass mu, is v = 1/2 pi square root k/mu. This relationship holds for the frequency of a quantum oscillator too. The Vibrational frequency for ^35 Cl_2 is 1.68 Times 10^13 s^-1. Find the value of the force constant for the Cl-Cl bond, Find the force constant and calculate what mass you would need to hang from a macroscopic spring with this same force constant by a distance of 2.54 cm. Use g = 9.81 m s^-2 for the gravitational constant, Find the zero point vibrational energy for Cl_2 and determine how fast the molecule would be going if all of this energy were converted into translational kinetic energy compare this speed, v to the v_rms average speed for a Cl_2 molecule at 300K.

Explanation / Answer

The vibrational frequency for 35 Cl 2­­ is 1.68 x 10 13 s -1 a) Find the value o