COMEDK · Chemistry · 19. Chemical Kinetics
A newly prepared radioactive nuclide has a decay constant of \(6.93 \mathrm{~s}^{-1}\). What is the half-life of the nuclide?
- A \(0.1 \mathrm{~s}\)
- B \(0.2 \mathrm{~s}\)
- C \(0.3 \mathrm{~s}\)
- D \(0.4 \mathrm{~s}\)
Answer & Solution
Correct Answer
(A) \(0.1 \mathrm{~s}\)
Step-by-step Solution
Detailed explanation
The relationship between the half-life \(T_{1/2}\) and the decay constant \(\lambda\) of a radioactive substance is given by the formula: \(T_{1/2} = \dfrac{\ln(2)}{\lambda}\) Given the decay constant \(\lambda = 6.93 \mathrm{~s}^{-1}\) and using the approximation…
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