Problem: A sample containing a radioactive isotope produces 2000 counts per minute in a Geiger counter. After 120 hours, the sample produces 250 counts per minute. What is the half-life of the isotope?A. 60 hB. 15 hC. 20 hD. 30 hE. 40 h

FREE Expert Solution

We are asked to determine the half-life of the radioactive isotope which has a rate starting from 2000 min-1 to 250 min-1 after 120 hrs


The integrated rate law for a 1st-order reaction is as follows:


ln(rate) = -kt + ln(initial rate)


where rate= rate at time t, k = rate constant, t = time, initial rate = starting rate

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Problem Details

A sample containing a radioactive isotope produces 2000 counts per minute in a Geiger counter. After 120 hours, the sample produces 250 counts per minute. What is the half-life of the isotope?

A. 60 h

B. 15 h

C. 20 h

D. 30 h

E. 40 h

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