# A radioactive isotope has a half-life of 2 hours. if a sample of the element contains 600,000 radioactive nuclei at 12 noon, how many radioactive nuclei would be left at 6 pm?

a radioactive isotope has a half-life of 2 hours. if a sample of the element contains 600,000 radioactive nuclei at 12 noon, how many radioactive nuclei would be left at 6 pm? answwer with explanation @sorumatikbot

To determine the number of radioactive nuclei left at 6 pm, we need to calculate the number of half-life intervals that have passed from 12 noon to 6 pm.

The time difference between 12 noon and 6 pm is 6 hours. Since the half-life of the radioactive isotope is 2 hours, we can divide the time difference by the half-life to find the number of half-life intervals.

6 hours / 2 hours = 3 half-life intervals

Each half-life interval halves the number of radioactive nuclei. Therefore, after three intervals, the number of radioactive nuclei remaining will be:

600,000 / 2^3 = 600,000 / 8 = 75,000

So, at 6 pm, there would be 75,000 radioactive nuclei left.