21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 1, Problem 9QP
To determine
The increase in the number of viruses in four time step.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1) An ant population grows at a daily rate of 3/10 times the current popu-
lation. It is known that a constant rate of 36 ants die each day and that
the initial number of ants is 400. How long will it take for all ants to
die? Solve using 1st order differential equations.
A certain strain of bacteria will divide itself from 1 to 2 every to [minute].
As a result, its population can be modeled as
N (t) = No2. ---(eq 1)
N(t) is the population at time t, NO is the population at the beginning = 100, t = time you wait [minute].
You prepare 6 dishes. Each dish contains 100 living bacteria at the beginning.
Then you wait for 20 mins, freeze the first dish to stop the bacteria in the dish from growing.
Then wait for another 20 mins, freeze the second dish (i.e. the total growth time for the second dish is 40 min). Proceed to the next dish in the similar process until
all 6 dishes are done.
After counting all the dish, you collect the data between time and population as follow:
t(min)
N(t)
20
132
220
40
60
311
80
369
100
622
120
836
Find to (the time for bacteria to divide itself). Answer in [min]
Note: if you apply log function on both sides of eq 1 you get
In (N (t)) =t. n2
+ In(No).
---(eq 2)
The water is safe to drink if the number of cells falls below 10 cells/mL. It is 8 a.m. and you have 100,000 cells/mL with D being 15 minutes. You add the bleach to the tank. At what time can you release the water?
Log Nt = Log N0 – t/D. D is the time required for a log kill.
Chapter 1 Solutions
21st Century Astronomy
Ch. 1.1 - Prob. 1.1CYUCh. 1.2 - Prob. 1.2CYUCh. 1.3 - Prob. 1.3CYUCh. 1 - Prob. 1QPCh. 1 - Prob. 2QPCh. 1 - Prob. 3QPCh. 1 - Prob. 4QPCh. 1 - Prob. 5QPCh. 1 - Prob. 6QPCh. 1 - Prob. 7QP
Ch. 1 - Prob. 8QPCh. 1 - Prob. 9QPCh. 1 - Prob. 10QPCh. 1 - Prob. 11QPCh. 1 - Prob. 12QPCh. 1 - Prob. 13QPCh. 1 - Prob. 14QPCh. 1 - Prob. 15QPCh. 1 - Prob. 16QPCh. 1 - Prob. 17QPCh. 1 - Prob. 18QPCh. 1 - Prob. 19QPCh. 1 - Prob. 20QPCh. 1 - Prob. 21QPCh. 1 - Prob. 22QPCh. 1 - Prob. 23QPCh. 1 - Prob. 24QPCh. 1 - Prob. 25QPCh. 1 - Prob. 26QPCh. 1 - Prob. 27QPCh. 1 - Prob. 28QPCh. 1 - Prob. 29QPCh. 1 - Prob. 30QPCh. 1 - Prob. 31QPCh. 1 - Prob. 32QPCh. 1 - Prob. 33QPCh. 1 - Prob. 34QPCh. 1 - Prob. 35QPCh. 1 - Prob. 36QPCh. 1 - Prob. 37QPCh. 1 - Prob. 38QPCh. 1 - Prob. 39QPCh. 1 - Prob. 40QPCh. 1 - Prob. 41QPCh. 1 - Prob. 42QPCh. 1 - Prob. 43QPCh. 1 - Prob. 44QPCh. 1 - Prob. 45QP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Bacteria and other prokaryotes are found deep underground, in water, and in the air. One micron (106 m) is a typical length scale associated with these microbes. (a) Estimate the total number of bacteria and other prokaryotes in the biosphere of the Earth. (b) Estimate the total mass of all such microbes. (c) Discuss the relative importance of humans and microbes to the ecology of planet Earth. Can Homo sapiens survive without them?arrow_forwardSuppose that a population of bacteria for an experiment increases according to the law of exponential growth, i.e. the number of bacteria y changes with respect to time t (in days) according to dy = ry; y(0) = C dt There were 50 bacteria at the start of the experiment and 100 bacteria 5 days after. a) Find the value of r. Round off your answer to four decimal places. b) How many bacteria are there after 8 days of the experiment? Round off your answer to the nearest whole number.arrow_forwardThe population of India can be modeled by the function P(t) = 1462(1 +0.0177) where P(t) measures the population in millions andt represents the number of years since 2000. 1. Using this model, what was the population of India in 2009? 2. Predict the population of India in 2019. 3. If this growth rate continues, in what year will the population of India reach 2 billion people? Hint:arrow_forward
- Suppose you have a culture of bacteria, where the density of each bacterium is 2.0 g/cm³. a. If each bacterium is 5µm × 5µm × 20µm in size, find the number of bacteria if their total mass is 30 grams. Recall that 1µm = 10−6 meters. b. Suppose that you learn that the sizes of bacteria range from 4µm × 5µm × 15µmto5µm × 6µm × 25µm. What is the range of the possible number of bacteria making up the total mass of 30 grams?arrow_forwardThe rhinovirus which causes the common cold has a diameter of 30 nm. How many virus particles can line up side by side on a line that is 1 inch long?arrow_forwardIn a lab experiment, 2100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 5 hours. How long would it be, to the nearest tenth of an hour, until there are 48400 bacteria present? Answer: Submit Answer attempt i out of 2 NG & 5 6 7 9. Y. * CO %24arrow_forward
- The population sizes of many animal species rise and fall over time. Suppose that the population size of a certain species can be modeled by the following function. p(t)=3350+1250 sin 1.5t In this equation, p (t) represents the total population size, and t is the time in years. Find the following. If necessary, round to the nearest hundredth. Period of p : years Frequency of p :cycles per year Minimum population size:arrow_forwardA certain breed of mouse was introduced onto a small island with an initial population of 350 mice, and scientists estimate that the mouse population is doubling every year (a) Find a function N that models the number of mice after t years M) - 350(2) (b) Estimate the mouse population after 9 years. 1X micearrow_forwardPart A: A researcher is studying the lifespans of chimpanzees from Location A and Location B. From her results, she estimates that a chimpanzee from location A will have an average lifespan was 27 ± 4 years and a chimpanzee from location B will have an average lifespan was 35 ± 4 years. Part A.I: Based on the life spans (with uncertainties) above, can one argue that primates from both locations have the same lifespan? Show work to prove your point. Part A.2: Assume the researcher studied chimpanzees in Location B first. What is the percent difference in chimpanzee life span between Location A and B? You will not need uncertainties for this part. Please finish both. thanksarrow_forward
- One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?arrow_forwardA typical human cell is approximately 12.00 μm in diameter and enclosed by a membrane that is 9.000 nm thick. What is the volume of the cell including the membrane? To simplify the calculations, model the cell as a sphere. total volumetotal volume:? μm3 What is the volume of the cell membrane? membrane volumemembrane volume:? μm3 What percent of the total volume does its membrane occupy? membrane percentage:arrow_forwardIn biology, a vector is a disease-carrying organism, such as a mosquito or a bat, that is itself not infected with the disease. One such disease, West Nile Virus, is spread primarily by migratory birds. The figure below shows the spread of the virus across the continental United States from 1999 to 2004. San Diego 2004 1 550 mi Minneapolis- 2002 1500 mi New York 1999 1 100 mi Miami 2001 i West Nile Virus was first detected in New York in 1999. Two years later, the virus had spread to Miami, a distance of 1,100 miles at a direction of 7.00° west of south from New York. In 2002, the virus was found in Minneapolis, 1,500 miles at a direction 37.0° west of north from Miami. Finally, the virus arrived in San Diego in 2004, a distance of 1,550 miles at a direction 25.0° south of west. (a) What is the net displacement (in mi) of the virus from 1999 to 2004? (Give the direction in degrees south of west, rounded to at least three significant figures.) magnitude mi direction o south of west (b)…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Horizons: Exploring the Universe (MindTap Course ...PhysicsISBN:9781305960961Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Horizons: Exploring the Universe (MindTap Course ...
Physics
ISBN:9781305960961
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Components of a Vector (Part 1) | Unit Vectors | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=fwMUELxZ0Pw;License: Standard YouTube License, CC-BY
02 - Learn Unit Conversions, Metric System & Scientific Notation in Chemistry & Physics; Author: Math and Science;https://www.youtube.com/watch?v=W_SMypXo7tc;License: Standard Youtube License