The mass of the deuterium molecule D2 is twice that of the hydrogen molecule H2. If the vibrational frequency of H2 is 1.29 × 1014 Hz, what is the vibrational frequency of D2, assuming that the "spring constant" of attracting forces is the same for the two species? Answer in units of Hz.

9.12x10¹³ Hz

Explanation:

The vibrational frequency (ω) of a molecule is given by:

Where:

k: is the spring constant

μ: is the reduced mass

The reduced mass of a diatomic molecule is:

Where ma and mb are the atomic masses of the atoms a and b, respectively, of the diatomic molecule.

Hence, the vibrational frequency of the hydrogen molecule is:

  (1)

From equation (1) we can find k:

   (2)

The vibrational frequency of the deuterium molecule is:

   (3)

By entering equation (2) into equation (3) we can calculate the vibrational frequency of the deuterium molecule:

Therefore, the vibrational frequency of the deuterium molecule is 9.12x10¹³ Hz.

I hope it helps you!

chemical energy is stored in the chemical bonds of atoms and molecules. it can only be seen when it is released in a chemical reaction. when chemical energy is released, the substance from which the energy came is often changed into an entirely different substance.

this chemical reaction releases energy in the form of light and heat. chemical energy is the potential energy stored in the arrangement of atoms within molecules. breaking chemical bonds requires energy, while forming new chemical bonds releases energy.

the atp molecule can store energy in the form of a high energy phosphate bond joining the terminal phosphate group to the rest of the molecule. in this form,energy can be stored at one location, then moved from one part of the cell to another, where it can be released to drive other biochemical reactions.

? you expect us to answer this? ? this is your schoolwork, i don't think we can with this, i think it would considering being