Radiation intensity is expressed in different ways, depending on how it is being

Question

Radiation intensity is expressed in different ways, depending on how it is being measured. Mechanical measurements use becquerels (Bq) or curies (Ci). Energy absorbed by tissue is expressed in grays (Gy) or rads (rad). Tissue damage is expressed in sieverts(Sv) or rem. These units are related as follows:

1 Bq=1 disintegration/s (dps)

1 Ci=3.7×1010 Bq

1 rad=0.01 Gy,  1 Gy=1 J/(kg tissue)

1 rem=0.01 Sv,  1 Sv=1 J/kg

Part A

If you purchased 3.41 Ci of sulfur-35, how many disintegrations per second does the sample undergo when it is brand new?

Express your answer numerically in disintegrations per second.

Part B

A 85.0-kg person is exposed to 609 rad of radiation. How many joules did this person absorb?

Express your answer numerically in joules.

Explanation / Answer

Part A :

Given activity of sulphur-35 is = 3.41Ci

                                           = 3.41x10-6 Ci

                                          = 3.41x10-6 x3.7×1010 Bq          since 1Cu = 3.7×1010 Bq

                                          = 126.17x103 Bq

                                          = 126.17x103 dps                      Since 1 Bq = 1 dps

Part B :

Given the exposed radiation = 609 rad

                                         = 609x0.01 Gy                    Since 1 rad = 0.01 Gy

                                         = 6.09 Gy

                                         = 6.09 J/(kg tissue)                         Since 1 Gy=1 J/(kg tissue)

                                         = 6.09 J x 85.0 kg of a person

                                         = 517.65 J

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