Consider a certain type of nucleus that has a rate constant of 2.43 × 10^-2 min^-1.Calculate the time required for the sample to decay to one-fourth of its initial value.

Question

Quizplus · Accepted Answer

The decay process follows the first-order kinetics, thus the time required for the sample to decay to one-fourth of its initial value can be calculated using the following formula:

t = (ln 4) / k

where k is the rate constant given as 2.43 × 10^-2 min^-1 in the units S^-1U^-1P^-1-2S^-1S^-1P^0.

Substituting the values in the equation, we get:

t = (ln 4) / (2.43 × 10^-2)

t = 56.98 min

Therefore, the best choice is D) 57.0 min as it is the closest option to the calculated value.

Consider a Certain Type of Nucleus That Has a Rate