You have a flask with 100ml of fresh media. You place 200 bacteria int he flask. Assume that the bacterai were previously growing in the same kind of media and so the lag is 0. If you knew that this species of bacteria has a doubling time of 45 min in these particular conditon, how many hours will it take before you have 33,5oo,000 bacteria/ml

To answer this question, we need to calculate the number of doubling periods required to reach 33,500,000 bacteria/ml. Let's break down the steps:

1. Determine the initial number of bacteria: The flask starts with 200 bacteria.
2. Calculate the number of doubling periods: Each doubling period for this bacteria species is 45 minutes.
- 33,500,000 / 200 = 167,500
So, we need 167,500 doubling periods to reach 33,500,000 bacteria.
3. Convert the doubling periods to hours: Since each doubling period is 45 minutes or 0.75 hours, we can multiply the number of doubling periods by 0.75:
- 167,500 * 0.75 = 125,625 hours

Therefore, it will take approximately 125,625 hours to reach 33,500,000 bacteria/ml.