A one-liter jar would hold about \(10^{16}\) bacteria. Based on the number of doubling times in our 24 -hour experiment, show by calculation that our setup was woefully unrealistic: that even if we started with a single bacterium, we would have far more than \(10^{16}\) bacteria after 24 hours if doubling every 10 minutes.

Question: In a hypothetical scenario, a bacterium doubles every 10 minutes. Explain why starting with a single bacterium, after 24 hours, there will be more bacteria than the capacity of a one-liter jar, which is approximately \(10^{16}\) bacteria. Answer: After calculating the total number of bacteria after 24 hours, we find that the total number of bacteria would be \(2^{144}\), which is approximately \(2.2 \times 10^{43}\) bacteria. This number is significantly greater than the capacity of a one-liter jar, which is approximately \(10^{16}\) bacteria. Therefore, even starting with a single bacterium, there would be far more than \(10^{16}\) bacteria after 24 hours, making our setup woefully unrealistic.