Consider the following equation representing a particular reaction: AgCl(s)--> A

Question

Consider the following equation representing a particular reaction: AgCl(s)--> Ag(s) + Cl(g) ( this is the correct equation)

It is possible to incorporate small crystals of silver chloride into eyeglass lenses. When the lenses are exposed to light of the appropriate wave length, the silver chloride undergoes the above reaction to produce metallic silver particles which then cause the lenses to darken. If the enthalpy for the reaction indicated above is

248 kJ/mol, calculate the maximum wavelength of light, in nm, that can initiate this process.

Explanation / Answer

One photon have to provide the energy for the unit reaction

AgCl(s)--> Ag(s) + Cl(g)

Thus the energy of 1 photon have to be a t least

248 kJ/mol / 6.022x1023 units/mol = 4.12x10-19 J

E = hc/             

= hc/E

   = 6.626 ×1034 J.s x 3.00 x 108 m. s-1 / 4.12x10-19 J=

= 4.82 x10-7 m = 482 x 10-9 m = 482 nm

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