Problem 30.28 In an experimental radiation therapy, an equivalent dose of 0.500

Question

Problem 30.28 In an experimental radiation therapy, an equivalent dose of 0.500rem is given to a localized area of tissue with a mass of 0.170kg by 0.800MeVprotons. Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up Problem 30.28 In an experimental radiation therapy, an equivalent dose of 0.500rem is given to a localized area of tissue with a mass of 0.170kg by 0.800MeVprotons. Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up Problem 30.28 In an experimental radiation therapy, an equivalent dose of 0.500rem is given to a localized area of tissue with a mass of 0.170kg by 0.800MeVprotons. Problem 30.28 In an experimental radiation therapy, an equivalent dose of 0.500rem is given to a localized area of tissue with a mass of 0.170kg by 0.800MeVprotons. In an experimental radiation therapy, an equivalent dose of 0.500rem is given to a localized area of tissue with a mass of 0.170kg by 0.800MeVprotons. In an experimental radiation therapy, an equivalent dose of 0.500rem is given to a localized area of tissue with a mass of 0.170kg by 0.800MeVprotons. Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct   D = 0.100   rad     D = 0.100   rad   0.100 SubmitMy AnswersGive Up Correct Correct Correct Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining   N =   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Try Again; 9 attempts remaining Try Again; 9 attempts remaining Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up   N =   N = SubmitMy AnswersGive Up Problem 30.28 In an experimental radiation therapy, an equivalent dose of 0.500rem is given to a localized area of tissue with a mass of 0.170kg by 0.800MeVprotons. Part A What is the absorbed dose, in rad?   D = 0.100   rad   SubmitMy AnswersGive Up Correct Part B How many protons are absorbed by the tissue?   N = SubmitMy AnswersGive Up Try Again; 9 attempts remaining Part C How many alpha particles of the same energy of 0.800MeV are required to deliver the same equivalent dose of 0.500rem ?   N = SubmitMy AnswersGive Up

Explanation / Answer

Please check the calculations

equivalent dose = 0.500 rem

mass of the tissue m = 0.17 kg

energy of the proton E = 0.8 MeV = 0.8*106 eV

RBE for protons = 5

...........................................................

absorbed dose = equivalent dose / RBE

= (0.5rem)/ (5 rem/rad)

= 0.1 rad

................................................................

absorbed dose = equivalent dose / RBE

= 0.5 rem / (5 Sv/Gy)

= 10*10-4 Gy (1 Gy = 1 J/kg)

= 10*10-4 J/kg

total energy abosorbed is

E' = (0.17 kg)(10*10-4 J/kg)

= 1.3*10-4 J

= (1.3*10-4 J)(1 eV / 1.6*10-19 J)

= 8.125*1014 eV

number of protons are absorbed by the tissue is

N = (8.125*1014 eV) / (0.8*106 eV)

= 10.15*108 protons

...........................................................................

RBE for ? - particles = 20 rem/rad

energy of ? - particles = 0.8 MeV = 0.8*106 eV

absorbed dose = equivalent dose / RBE

= (0.5 rem) / (20 rem / rad)

= (0.5*0.01 Sv) / (20 Sv/Gy)

= 2.5*10-4 Gy

= 2.5*10-4 J/kg

energy abosorbed is

E'' = (0.17 kg)(2.5*10-4 J/kg)

= 3.25*10-5 J

= (3.25*10-5 J)(1 eV / 1.6*10-19 J)

= 2.03*1014 eV

number of ? - particles = (2.03*1014 eV) / (0.8*106 eV)

= 2.54*108

= 0.254*109

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