A common way of initiating certain chemical reactions with light involves the generation of free halogen atoms in solution. If DH for the reaction Cl₂(g) $\rarr$ 2Cl(g) is 242.8 kJ/mol, what is the longest wavelength of light that will produce free chlorine atoms in solution A) 246.3 nm B) 349.3 nm C) 465.2 nm D) 492.6 nm E) 698.6 nm

Question

Quizplus · Accepted Answer

To solve this problem, we need to use the formula:

ΔE = hc/λ

Where ΔE is the energy required for the reaction, h is Planck's constant, c is the speed of light, and λ is the wavelength of light. We can rearrange this formula to solve for λ:

λ = hc/ΔE

Substituting the given values, we get:

λ = (6.626 x 10^-34 J s) x (2.998 x 10^8 m/s) / (242.8 kJ/mol x 1000 J/1 kJ x 6.022 x 10^23 mol^-1)

λ = 492.6 nm

Therefore, the longest wavelength of light that will produce free chlorine atoms in solution is 492.6 nm, which corresponds to choice (D).

A Common Way of Initiating Certain Chemical Reactions with Light →\rarr→

A Common Way of Initiating Certain Chemical Reactions with Light $\rarr$