How many chest X rays would a patient have to receive before biological effects would be observed? (The limit is >25 rem.)

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Based on the limit of dose, a patient will receive 8334 chest X-rays before noticing biological effects.

Recall :

  • 100 rem = 1 Sv

Effective dose per exposure = 0.03 mSv

  • [tex] 0.03 mSv = 0.03 \times 10^{-3} Sv [/tex]

Expressing the effective dose per exposure in rem :

Let :

[tex] x [/tex] = effective dose per exposure in terms of rem

[tex] 100 = 1 [/tex]

[tex] x = 0.03 \times 10^{-3} [/tex]

Cross multiply

[tex] x = 0.03 \times 10^{-3} \times 100 = 0.003 [/tex]

Effective dose per exposure = 0.003 rem

For biological effect to be observed ;

  • rem > 25

  • [tex] \frac{limit}{dose per exposure} [/tex]

  • [tex] \frac{25}{0.003} = 8333.333 [/tex]

Therefore, the Number of chest X rays a patient will undergo for biological effect to be observed is 8334.

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