Question

) The C O bond dissociation energy in CO2 is 799 kJ/mol. The maximum wavelength of electromagnetic radiation required to rupture this bond is ________.

Answer 1

λ = 150 nm

Step-by-step explanation:

For C-O bond rupture:

The required energy to rupture C-O bond = bond energy of C-O bond

= 799 kJ/mol

`\mathsf{= 799 \ kJ/mol * ( (1 \ mol )/(6.023 * 10^(23) \ C-O \ bonds ))}`

`\mathsf{= 1.3265 * 10^(-21) \ kJ/ C-O \ bond}`

`\mathsf{= 1.33 * 10^(-18) \ J/C-O \ bond}`

Recall that the wavelength associated with energy and frequency is expressed as:

`E = (hc)/(\lambda)`

`\lambda = (hc)/(E)`

`\lambda = ((6.626 * 10^(-34) \ J.s^(-1)) * (3.0 * 10^8 \ ms^(-1)))/( 1.33 * 10^(-18) \ J/C-O \ bond)}`

`\mathsf{\lambda = 1.50 * 10^(-7) \ m}`

λ = 150 nm