Answer to Question #155771 in General Chemistry for PARSA SHAFAIT

Question

Using hooks law, calculate the wavenumber and wavelength of the IR radiation absorbed due to stretching vibration of the carbonyl group the masses of C and O are 19.92×10^-24 and 26.56×10^-24 respectively. The force constants for double bond is 10×10^5 gram per seconds sequare.

Answer 1

k=2π/λ

According to hooke's law

F = kE

E = 26.56×10^-24 - 19.92×10^-24

=

k = F/E

k = 10×10⁵ / 6.64g

k = 1.5 × 10⁵(wavenumber)

λ =2π/k

= 2π/1.5 × 10⁵

= 4.2× 10^-5m(wavelength)