Imagine you were studying microorganisms that were isolated

Imagine you were studying microorganisms that were isolated from a deep mine, about 1 mile below the surface of the earth. These hydrogen-oxidizing organisms are known to be able to grow very slowly, with a generation time of 87600 hours (10 years!). If they were present in their culture initially at a concentration of 100,000 cells/ml, how long, in hours, would you need to wait for them to get to 100,001 cells/ml?

-Can someone show step by step how this is done, I get halfway through the problem and mess up

Solution

Generation time: It is the time which takes one cell to become two.So if the generation time of these organisms are 87600hours(10yrs). So if culture has the initial concentration of 100,000 cells/ml and to get 100,001cells/ml i.e

100,001-100,00= 1

i.e one cell.

so the time taken to get these number of cells is 87600 hours(10yrs)