Calculate the approximate frequency of the C-H bond

In summary, to calculate the approximate frequency of the C-H bond, with the force constant of k = 500 N/m, use the formula Frequency = (1/2pi) Sqrt(k/((m1m2)/(m1 m2))). To find the masses of the carbon and hydrogen atoms, first convert the given masses in grams per mole to just grams, and then use the Avogadro's number to determine the mass of one atom. Finally, convert the masses to kilograms to match the units of the force constant.
  • #1
hot2moli
14
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Calculate the approximate frequency of the C-H bond, with the force constant of k = 500 N/m.

Use:
Frequency = (1/2pi) Sqrt(k/((m1m2)/(m1 m2)))

BUTT WHAT DO I USE FOR MY MASS VALUES??
I tried, 12.011g/mol and 1.01g/mol and that is incorrect.
 
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  • #2


Hi hot2moli,

hot2moli said:
Calculate the approximate frequency of the C-H bond, with the force constant of k = 500 N/m.

Use:
Frequency = (1/2pi) Sqrt(k/((m1m2)/(m1 m2)))

You're missing a plus sign in this formula. Is that just a typo?

BUTT WHAT DO I USE FOR MY MASS VALUES??
I tried, 12.011g/mol and 1.01g/mol and that is incorrect.

Well, those aren't masses; they don't have the right units. (Those are the factors to connect number of moles of carbon atoms to number of grams of carbon atoms, and the same for hydrogen.) The C-H bond is connecting two atoms, so you need the masses of those two atoms. How do you get the mass of a carbon atom, and the mass of a hydrogen atom? Do you see what units they have to be in?
 
  • #3


Yes I understand but since its 1:1 you can just multiply it by 1mol correct? Then it's 12.01g and 1.01g?? Which is my method of solving but evidently incorrect... therefore how do you find the masses?
 
  • #4


hot2moli said:
Yes I understand but since its 1:1 you can just multiply it by 1mol correct? Then it's 12.01g and 1.01g?? Which is my method of solving but evidently incorrect... therefore how do you find the masses?

That's the first step; to determine that there is 12.01 grams in a mole of carbon atoms, and 1.01 grams in a mole of hydrogen atoms.

Next, how many atoms are in a mole of atoms? Once you know that, since you know 1 mole of Carbon has 12.01 grams, you can find the mass of just one atom of Carbon. Then do the same for hydrgoren.

Also, note that the force constant is given in N/m. Since a Newton is a kg m/s^2, you'll need to get the mass of the carbon and oxygen atoms in kilograms. What do you get?
 

FAQ: Calculate the approximate frequency of the C-H bond

What is the formula for calculating the approximate frequency of the C-H bond?

The formula for calculating the approximate frequency of the C-H bond is given by the equation: ν = (1/2π) √(k/μ), where ν is the frequency, k is the force constant, and μ is the reduced mass of the bond.

How do you determine the force constant for the C-H bond?

The force constant for the C-H bond can be determined experimentally using spectroscopic techniques, such as infrared spectroscopy. It can also be calculated using computational methods, such as molecular orbital theory.

What is the reduced mass of the C-H bond?

The reduced mass of the C-H bond is the effective mass of the bond, which takes into account the masses of the carbon and hydrogen atoms. It is given by the equation: μ = (mC mH) / (mC + mH), where mC and mH are the masses of the carbon and hydrogen atoms, respectively.

How accurate is the approximate frequency calculation for the C-H bond?

The approximate frequency calculation for the C-H bond is typically accurate to within a few percent of the actual frequency. However, the accuracy may vary depending on the specific method used for calculation and the accuracy of the input parameters.

Can the approximate frequency of the C-H bond be used to determine the strength of the bond?

No, the approximate frequency of the C-H bond cannot be used to determine the strength of the bond. The frequency is only a measure of the bond's vibration, and does not take into account other factors that contribute to bond strength, such as bond length and electronegativity.

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