A chest x ray uses 10 keV photons with an RBE of 0.85. A 60 kg person receives a 0.30 mSv dose from one chest x ray that exposes 25% of the patient’s body. How many x ray photons are absorbed in the patient’s body?

Short Answer

Expert verified

Dose=3.53x10-4Jkg

=1.6x10-15J

Step by step solution

01

Step 1{ Given Information

Then the dose is Given by

dose=

doseequivalentinsvRBEGy=0.30msv10-3Sv1msv0.85Gy=0.30x10-3sv0.85Gy=3.53x10-4Gy1.00Jkg1Gy=3.53x10-4Jkg

02

Calculation

The amount of energy received by the body is

Ebody=3.53x10-4Jkg25%60kg=211.8x10-4J25100=53x10-4JTheenergyofeachphotonis,Ephoton=10keV=10keV103ev1kev=104ev1.6x10-19J1eV=1.6x10-15J

03

Expression

photons absorbed patient's body=Therefore, the number of X-ray photons absorbed by the body is the ratio of the energy absorbed by the body and the energy absorbed by the photons

EbodyEphoton=53x10-4J1.6x10-15J=3.31x1012

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