Question

A 3.00 mL ampule of a 0.120 M solution of naphthalene in hexane is excited with...

A 3.00 mL ampule of a 0.120 M solution of naphthalene in hexane is excited with a flash of light. The naphthalene emits 10.8 J of energy at an average wavelength of 349 nm.

What percentage of the naphthalene molecules emitted a photon?

Homework Answers

Answer #1

From E= hC/wave length gives energy of single photon

h= plancls constant= 6.627*10-34J.s. C= 3*108 m/s Wave length= 349*10-9m

E= 6.627*10-34*3*108/ 349*10-9=5.69*10-19 Joules/photon

number of photons= 10.8/(5.69*10-19)= 1.9*1019 pjotons

Moles of napthalene in 3ml of 0.120M= 0,120*3/1000=0.00036 moles

1 mole of any substance contains 6.023*1023 molecules

0.00036 moles of substance contains 6.023*0.00036*1023 molecules=2.17*1020 molecules

Fraction of molecules emiting photon= 100*(1.9*1019/2.17*1020 )= 8.76%

Energy emitted= 10.8 Joules

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