CHEM 104-002/003 Fall 2017 Homework Assignment 85 (Due October 31, 2017) Name: (

Question

CHEM 104-002/003 Fall 2017 Homework Assignment 85 (Due October 31, 2017) Name: (First name and Family name) 1. Gamma knife is a radiosurgery that applies gamma radiation to perform mostly brain surgery. A gamma knife system uses gamma radiation with a wavelength of 6.87 x 10" m (a) Calculate the frequency of the gamma radiation with a wavelength of 6.87 x 10" m (b) Calculate the amount of energy (in J) contained in one photon of the gamma radiation e) Calkulse the amount of energs (im buJmol) conetained in one mole of photons of the gamma radisation. [Hint I mole of photons contains 6,022 x 10 photons.] 2. As discusned in chapter ,it take enerey to break a bond. To the longest wavelength (in m) of radiation that possesses the required energy to break the CI-C bond. [Hint: 1 mole of photons contains 6.022 x 10 photons,] (b) Calculate the minimum frequency of radiation that possesses the required energy to break the Ci-CI bond. (c) For the following types of electromagnetic radiation, circle the one that has the shortest wavelength 0) Green light () Radio frequency (ili) Red light (iv) Ultraviolet radiation (v) X-rays Page 1 of 4

Explanation / Answer

a)

v = c/WL

v = frequency, c = 3*10^8 m/s speed of light, WL = wavelength

then

v = (3*10^8)/(6.87*10^-13)

v = 4.36681*10^20 Hz

b)

energy by 1 photon

E = hv

H = planck constant = h = Planck Constant = 6.626*10^-34 J s

E = (6.626*10^-34)( 4.36681*10^20)

E = 2.8934*10^-13 J/photon

c)

energy of 1 mol of phton

E = 2.8934*10^-13 J/photon * 6.022*10^23 / 1 mol * 1 kJ / 1000 J

E = 174240548 kJ/mol of photon

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