Radioactive Decay Calculator

28. Radioactive Decay

Calculate isotope activity after elapsed time.

$A_t = A_0 \times e^{(-\lambda t)}$

Remaining Activity: --

Scientific Documentation

Radioactive isotopes decay at a characteristic rate defined by their half-life ($t½$). The decay constant ($\lambda$) is calculated as $\ln(2) / t½$.

The Equation: $A_t = A_0 \times 2^{(-t/t½)}$. This tool uses the exponential decay model to determine how much radioactive material remains, which is crucial for safety compliance and ensuring correct dosage in experiments requiring precise isotopic incorporation.

Laboratory Significance: Whether tracking protein synthesis using $^{35}S$-methionine or DNA labeling with $^{32}P$, knowing the exact activity is vital. It dictates how much of the stock solution must be used to achieve specific signal intensities while keeping radiation exposure within safety limits.