# Chem

suppose that you place exactly 100 bacteria into a flask containing nutrients for the bacteria and that you find the following data at 37 °C:

t (min):0 15.0 30.0 45.0 60.0
Number of bacteria: 100 200 400 800 1600

What is the order of the rate of production of the bacteria?

How many bacteria will be present after 1.20 × 102 min?

What is the rate constant for the process?

1. 👍
2. 👎
3. 👁
1. The rate is doubling every 15.0 minutes so the half life is 15.0 min.
k = 0.693/t1/2. Solve for k and substitute into the below equation.
ln(No/N) = kt
No = 100
N = ?
k = from above
t = 1.2E2 min
Solve for N.

I pulled the k = 0.693/t1/2 our of a hat but you can get it this way.
ln(No/N) = kt
Pick out No = 200 and
N = 100
then t = 15 min and solve for k. You will get the same k as in the above formula BECAUSE
ln 200/100 = k(15)
0.693/15 = ?.
I don't pay any attention the the signs; if your prof does the k is a negative sign meaning the bacteria are expanding instead of decomposing.

1. 👍
2. 👎
2. This is a first order process since rate = k(A)

1. 👍
2. 👎
3. i got N=0.83 does the seem right?

1. 👍
2. 👎
4. how do i find the rate constant?

1. 👍
2. 👎
5. Does it make sense to you that the bacteria started with 100, is doubling every 15 minutes and you HAVE LESS THAN YOU STARTED WITH after 120 minutes? Doesn't make sense to me.
k is 0.693/t1/2

Look at this table from your post, then extend it to 120 minutes.
min....count
0........100
15.......200
30.......400
45.......800
60......1600
75........?
90........?
105.......?
120.......?

1. 👍
2. 👎
6. THANKS. I figured it out.

1. 👍
2. 👎

## Similar Questions

1. ### Math

A culture of bacteria in a petri dish is doubling every hour. If there are 100 bacteria at time t=0, how many bacteria will there be in 12 hours?

2. ### Math

The generation time G for a particular bacterium is the time it takes for the population to double. The bacteria increase in population is shown by the formula G = t over 3.3log a p, where t is the time period of the population

3. ### Calc

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. a) Find the initial population. b) Write an

4. ### Math

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only bacteria which can double every hour, how many bacteria will we have by the end of the day?

1-true 2-false 3-not enough info Transplanting genetic material into bacteria is a simple task- 2 Under certain conditions, bacteria reproduce at a rapid rate-3 The continued use of insulin from animals many cause harmful side

2. ### Honors Algebra

A biologist is researching a newly discovered species of bacteria. At time t=0 hours, she puts on hundred bacteria into a Petri dish. Six hours later, she measures 450 bacteria. Assuming exponential growth, what is the growth rate

A culture of bacteria triples every 7 minutes. How long will it take a culture originally consisting of 24 bacteria to grow to a population of 100 000 bacteria? Show ALL work and round to one decimal place, if necessary.

4. ### Calculus

Suppose that a population of bacteria triples every hour and starts with 700 bacteria. (a) Find an expression for the number n of bacteria after t hours. n(t) = ? (b) Estimate the rate of growth of the bacteria population after

1. ### Math1

Bacteria can multiply at alarming rate when each bacteria splits into two new cells , thus doubling. If we start with only one bacteria which can double every hour , how many bacteria will have by the end of one day?

2. ### precalculus

A bacteria culture initially contains 1500 bacteria and doubles every half hour. a) Find an expression for the number of bacteria after t hours. Q(t)= b) The number of bacteria after 20 minutes is (the answer must be an integer)

3. ### pre calculus

if there are initial 2500 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours cab n be found using the formula=N=2500(2^t).how long will it take the culture to grow to 75,000

4. ### algebra

At the start of an experiment, there are 100 bacteria. If the bacteria follow an exponential growth pattern with a growth rate of 2%, what will be the population after 5 hours (round to the nearest bacteria)?