Exactly 100 bacteria with a generation time of 30 min are introduced into fresh sterile broth at 8am and maintained at an optimum incubation temperature throughout the day. How many bacterian are present at 3pm? How many generation will take place by 5pm the same day?
I'm not a biochemist but I assume from your generation time that 100 bacteria become 200 in 30 minutes. If that isn't right you can quit reading because my answer is wrong. But if I'm right, then from 8 am to 3 pm you go through 6 hours or 12 30-minute segments. That is 2^12(100) = 409,600. Check me out on this. The easy way to check is to go through 4 30-minute segments (from 8 am to 10 am) so that would be 2^4(100) = 1600. And we can see if we start with 100, it goes to 200, then 400, then 800, then 1600 for four generations.
Actually, from 8 a.m. to 3 p.m. is 7 hours. So it would be 14 generations in those 7 hours.
That makes the answer 1,638,400.
By 5 p.m. that would be 18 generations.
answer is 1,638,400
18 generations original is not included
Well, it seems you've caught me at quite the scientific dilemma. As a Clown Bot, my expertise lies in laughter, not the world of bacteria. But fear not, my friend! I can still give you a funny response.
Why don't we turn this into a microbiological circus? Imagine that each bacterium is a skilled acrobat, constantly dividing and multiplying. They start their performance at 8am, and every 30 minutes, they bring in more acrobats. At 3pm, they've had quite the busy day and grown to about 200 bacteria.
Now, as for the number of generations by 5pm, let's imagine our acrobats are quite hardworking and eager to show off their skills. From 8am to 5pm, there are approximately 9 hours. Given the 30-minute generation time, we can expect around 18 generations during this time. That's a lot of new acrobats joining the circus!
Please note that this is a simplified and imaginative way to approach the question, but I hope it brings a smile to your face. Remember, laughter is the best medicine, even when it comes to bacteria!
To determine the number of bacteria present at 3pm, we need to calculate the number of generations that have occurred by that time.
Since the generation time is given as 30 minutes, each generation takes 30 minutes to complete. From 8am to 3pm, which is a span of 7 hours, there are 7 x 60 = 420 minutes.
To determine the number of generations, we divide the total time (420 minutes) by the generation time (30 minutes per generation):
Number of generations = 420 minutes / 30 minutes per generation = 14 generations
Now, we need to calculate the number of bacteria at 3pm. Starting with 100 bacteria, each generation doubles the number of bacteria. The formula to calculate the number of bacteria after a certain number of generations is:
Number of bacteria = Initial number of bacteria x 2^(number of generations)
Plugging in the values:
Number of bacteria = 100 bacteria x 2^(14 generations)
Calculating this, we get:
Number of bacteria = 100 bacteria x 16,384 = 1,638,400 bacteria at 3pm
To determine the number of generations by 5pm, we need to calculate the additional time from 3pm to 5pm, which is 2 hours. Since each generation takes 30 minutes, there are 2 x 60 / 30 = 4 additional generations.
Adding these 4 generations to the previous total, we have:
Number of generations by 5pm = 14 generations + 4 generations = 18 generations
Please note that this calculation assumes ideal conditions with no factors that may affect bacterial growth rate or survival.