9303753286127016 The energy required to break one mole of Cl−Cl bonds in the Cl2 is 242 KJ mol−1 . The longest wavelength of light capable of breaking a single Cl−Cl bond is:

The energy required to break one mole of Cl−Cl bonds in the Cl2 is 242 KJ mol−1 . The longest wavelength of light capable of breaking a single Cl−Cl bond is:

 The amount of energy necessary to break a chemical bond between A and B AB is known as bond dissociation energy. The amount of the bond established between atoms A and B determines the bond dissociation energy. The following information has been provided:

242 KJ mol-1 is the amount of energy required to break one mole of chlorine.

The longest wavelength of light capable of breaking a single Cl-Cl bond is what we’re looking for. We already know that the energy of radiation is proportional to its wavelengths. The relationship is stated as follows:

E = hυ = hCλ

However, we have considered the bond dissociation energy for the one-mole chlorine molecule.

Thus the number of chlorine molecules in one mole is always equal to Avogadro’s number NA = 6.023 × 1023 mol−1

Thus the energy relation is modified as, E = NAhC/λ (1)

Where E is the bond dissociation energy, NA is the Avogadro’s number, h is the Planck’s constant 6.626 × 10−34 J s−1 , c is the speed of light 3×108 ms−1 and λ is the wavelength of radiation required to break the bond.

Let’s substitute the values in the equation (1), we have 242 KJ mol−1 = (6.023 ×1023 mol−1)(6.626×10−34 Js−1) (3×108 m s−1)/λ

Rearrange equation with respect to wavelength. We have, λ = (6.023 ×1023 mol−1)(6.626×10−34 Js−1) (3×108 m s−1)/242 ×103 mol−1

⇒ λ = (1.19×10−1)/242 ×103J ⇒ λ = 4.94 × 10−7m

The obtained value of the wavelength can be converted into nanometres.

The relation between the one nanometre with the meter is, 1 nm = 10−9 nm

Therefore, λ = 494 × 10−9m = 494 nm

Thus, the longest wavelength required to break a single Cl−Cl is equal to 494 nm .

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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