Question

The energy from radiation can be used to cause the rupture of chemical bonds. A minimum energy of 242 kJ/mol is required to break the chlorine–chlorine bond in Cl2. Determine the longest wavelength of radiation that possesses the energy to break the bond.

Answer 1

The question ask to determine the longest wavelength of radiation that possesses the energy to break the bond and the minimum energy of 242kj/mol is required to break the chlorine-chlorine bond so the energy would be that the minimum wave length is 495nm and the high wavelength to it is the color green end of its wave

Answer 2

The longest wavelength of radiation is 494.6 nm that will possess the energy to break the bond.

Step-by-step explanation:

Energy required to break 1 mol of Cl-Cl bond = 242 kJ =242000 J

1kJ = 1000 J

1 mol =
`6.022* 10^(23)` atoms/particles/ molecules

Energy required to break 1 of Cl-Cl bond = E

`E=(242000 J)/(6.022* 10^(23))=4.0186* 10^(-19) J`

Wave length of the radiation with energy E.

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

h = Planck's constant

c = speed of the light

`\lambda = (6.626* 10^(-34) J s* 3* 10^8 m/s)/(4.0186* 10^(-19) J)`

`\lambda = 4.946* 10^(-7) =494.6 nm`

The longest wavelength of radiation is 494.6 nm that will possess the energy to break the bond.