12 Example 13.4

Uranium-238 Decay Activity Simulation

Uranium-238 Decay Activity Simulation

This simulation demonstrates the calculation of activity for a 1g sample of Uranium-238, which undergoes alpha decay with a half-life of 4.5 billion years. The activity (decay rate) is calculated using the formula:

R = λN = (0.693/T1/2) × N

Where λ is the decay constant, N is the number of radioactive atoms, and T1/2 is the half-life.

Sample Parameters

Value: 1.0 g
Value: 4.5 billion years

Simulation Controls

Value: 5

Calculation Results

Number of U-238 atoms: 2.53 × 1021

Decay constant (λ): 4.88 × 10-18 s-1

Activity (R): 1.23 × 104 Bq

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