Question
In: Chemistry
A 1.00 mL ampule of a 0.150 M solution of naphthalene in hexane is excited with...
A 1.00 mL ampule of a 0.150 M solution of naphthalene in hexane is excited with a flash of light. The naphthalene emits 12.5 J of energy at an average wavelength of 349 nm. What percentage of the naphthalene molecules emitted a photon?
Solutions
Expert Solution
First use the formula, E = hc/λ
(6.626 x 10-34 Js x 3 x 108 ms-1)/ (349 x 10-9 m) = 5.695 x 10-19J
Number of the photons emitted = (12.5 J) / (5.695 x 10-19J) photons
= 2.195 x 10-19 photons
Moles of naphthalene = volume in (L) x molarity
= (0.001 x 0.150) mole
= (1.50 x 10-4) mole
Number of its molecules = Moles / Avogrado number
= (1.50 x 10-4) x (6.023 x 1023)
= 9.035 x 10-19 molecules
Percentage of the naphthalene molecules emitted a photon = (2.195 x 10-19) / (9.035 x 10-19) x 100
= 24.3%
queen_honey_blossom answered 10 months agoRelated Solutions
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