Chemistry, asked by sverma50, 5 months ago

The force constant for carbon monoxide
molecule is 1840 Nm^-1? calculate the
vibrational frequency in cm^-1. Given atomic
masses are 12C = 19.9x10^-27kg. And 160 =
26.6x10^-27kg​

Answers

Answered by desilvarasangi5
1

Answer:

Force constant of CO

The force constant for carbon monoxide molecule is 1840 Nm^-1

Answered by rinayjainsl
1

Answer:

The vibrational frequency of carbon monoxide is 2010cm^{-1}

Explanation:

Given that,

The force constant for the carbon monoxide molecule is 1840Nm^{-1}

We are required to find the vibrational frequency of the given compound.

The relation for vibrational frequency of compound is shown below

f=\frac{1}{2\pi C}\sqrt{\frac{K}{\mu} }

Where,

C=Speed of light

K=Force constant and \mu=Reduced mass of the compound

The reduced mass of an compound with atomic masses m_{1} and m_{2} is given as

\mu=\frac{m_{1}m_{2}}{m_{1}+m_{2}}

Substituting the given atomic masses in the above relation we get the reduced mass as

\mu=\frac{19.9\times10^{-27}\times26.6\times10^{-27}}{10^{-27}(19.9+26.6)} \\=11.38\times10^{-27}kg

Substituting all the known values in the vibrational frequency relation,we get-

f=\frac{1}{2\times3.14\times3\times10^{8}} \sqrt{\frac{1840}{11.38\times10^{-27}} } \\=5.3\times10^{-10}\times4.01\times10^{14}=2.01\times10^{5}m^{-1}

We convert it into cm^{-1} as shown

=2.01\times10^{5}(100cm)^{-1}=2010cm^{-1}

Therefore,the vibrational frequency of carbon monoxide is 2010cm^{-1}

#SPJ3

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