What is the rate constant (in min^-¹) for the decay of this radionuclide?

Question

Quizplus · Accepted Answer

The rate constant can be calculated using the equation:  
ln(Nt/N0) = -kt  
where N0 is the initial number of atoms, Nt is the number of atoms at time t, k is the rate constant, and t is time. Rearranging the equation gives:  
k = -ln(Nt/N0) / t  
Substituting the given values:  
k = -ln(1/2) / 30 = 0.0224 min^-1  
Therefore, choice C is the correct answer.

What Is the Rate Constant (In Min- 1) for the Decay

What Is the Rate Constant (In Min^-¹) for the Decay