Question

6.15. An aluminum ionization chamber containing 10 cm3 air at 20°C and 760 torr operates under Bragg-Gray conditions. After a 1-hour exposure to 6oCo gamma rays, 3.6 x 10-9 C of charge is collected. If the relative mass stopping power of Al for the electrons generated by the 60Co gammas is 0.875, what was the dose to the aluminum?

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energy absorbed unit mass The Bragg Gray rule applies in this problem m wj p,-0.875 density of air 1.293 x 103 g/cm3 (Table 5.2) l ion pair-1.6 10-19 C w 34 eV per ion pair in air (Table 5.1) Converting the volume of air in the chamber to STP, assuming it is an ideal gas: Standard Temp-273 K 273 K cm * 293 K 9.32 cm is the volume in the chamber at STP - C 1 ion pair 3.6 x 109 x ion pairs hr 1.6x10-19C gramai gram 9.32 ст.3, x 1.293×10-38.-1.87 × 1012 ionPairs air air cm air 34 eV 1.6x10-7erg ion pair er - 5.44 x 10 lon pair Equation 6.14 gives the Bragg-Gray relationship: m ipgS100 ergs D-0875 x 544 x 10-11 erg x1.87x 1012-p lp 100 ers D 0.889 rads 8.9 mGy

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