You are in a research lab that studies the gram-positive bacterium Clostridium perfringens, one of the fastest-growing species known to science. Because you are an “early bird”, your lab mate—a “night owl”—asks if you could sub-culture an overnight culture of C. perfringens early tomorrow (Wednesday) morning for her. This way, by the time she (finally) rolls into lab on Wednesday, the culture will have grown to the perfect optical density (OD) for her experiment. You agree to inoculate a fresh flask of media tomorrow morning, using the liquid culture she will start tonight (Tuesday) for inoculum.
If you start the sub-culture at 8 AM, the generation time is 10 minutes, and it needs to be at an OD of 0.7 at 10 AM, what OD should you start the sub-culture at?
Assume that, under these conditions, the cells enter exponential phase after a 30- minute lag phase and maintain this rate of growth until OD ~0.9. Show your work.
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