To achieve a radiation exposure of 20mSv per year from U-233, calculations must consider its half-life of 0.1592 years and its decay into alpha particles at 4.91 MeV. The effective dose can be calculated using the equation Effective dose = sum (Wt x H), where Wt represents weighting factors and H is the dose. The decay rate is determined by the equation D = half-life / ln(2) (dD/dt), with dD/dt calculated as (Activity x Energy) / Mass. By solving these equations, one can determine the necessary grams of U-233 that would need to be absorbed to reach the specified dose. Accurate calculations are essential for understanding the health implications of U-233 exposure.
