Calculate wave number of O-H bond, if the force constant and reduced mass of the atom pair are 770Nm-1 and 1.563 x10-27 kg respectively.
Answers
Answer:
Use the following formula to calculate the force constant:
Here, is the wavenumber of absorption peak, c is the velocity of light, k is the force constant, and is the reduced mass.
Rearrange the above equation as follows to calculate the force constant.
The vibrational peak for is observed at in its infrared spectrum.
Therefore, the wavenumber of absorption peak () is .
The velocity of light is and the value of is 3.1429.
To calculate the force constant, first calculate the reduced mass.
Step 2 of 5
Use the following formula to calculate the reduced mass:
Here, and are the masses of carbon and oxygen atoms respectively.
The atomic mass of carbon is .
Convert the mass into kilograms.
Calculate the mass of carbon atom as follows:
Therefore, the mass of carbon atom is .
The atomic mass of oxygen is .
Convert the mass into kilograms.
Calculate the mass of oxygen atom as follows:
Therefore, the mass of oxygen atom is .
Substitute the values of and in equation (2).
Therefore, the reduced mass is .