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Ch.20 - Nuclear Chemistry
All textbooksMcMurry 8th EditionCh.20 - Nuclear ChemistryProblem 108
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Chapter 20, Problem 108

A gastrointestinal tract X-ray exposes a patient to 5000 microSv of radiation. For X-rays, (1 Sv = 1 Gy), how many joules are absorbed by a 60-kg person?

Verified step by step guidance
1
Step 1: Understand the relationship between sieverts (Sv) and grays (Gy). For X-rays, 1 Sv is equivalent to 1 Gy, which means the dose in sieverts is numerically equal to the dose in grays.
Step 2: Convert the dose from microsieverts to grays. Since 1 Sv = 1 Gy, 5000 microSv is equivalent to 5000 microGy. Convert microGy to Gy by dividing by 1,000,000 (since 1 Gy = 1,000,000 microGy).
Step 3: Use the formula for absorbed dose in joules: Absorbed dose (Gy) = Energy absorbed (J) / Mass (kg). Rearrange the formula to solve for energy absorbed: Energy absorbed (J) = Absorbed dose (Gy) * Mass (kg).
Step 4: Substitute the values into the formula. Use the converted dose in grays from Step 2 and the mass of the person (60 kg) to calculate the energy absorbed in joules.
Step 5: Perform the multiplication to find the energy absorbed in joules. This will give you the total energy absorbed by the 60-kg person due to the X-ray exposure.
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