We’re being asked to determine the time it will take for 26.0% of the initial amount of 96Nb to be consumed.
Recall that radioactive/nuclear decay of isotopes follows first-order kinetics, and the integrated rate law for first-order reactions is:
[N]t = concentration at time t
k = decay constant
t = time
[N]0 = initial concentration
The nuclide 96Nb decays by a first-order process with a rate constant of 2.96×10–2 min-1. How long will it take for 26.0% of the initial amount of 96Nb to be consumed?
A) 44.0 h
B) 0.170 h
C) 27.7 h
D) 6.70 h
E) 0.758 h
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What scientific concept do you need to know in order to solve this problem?
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