Newton’s law of cooling states that for a cooling substance with initial temperature t0, the temperature t(t) after t minutes can be modeled by the equation t(t)=ts+(t0−ts)e−kt, where ts is the surrounding temperature and k is the substance’s cooling rate. A liquid substance is heated to 80°c. Upon being removed from the heat, it cools to 60°c in 15 min. What is the substance’s cooling rate when the surrounding air temperature is 50°c? round the answer to four decimal places. 0. 0687 0. 0732 0. 0813 0. 872.
Answers
The cooling rate of the substance is approximately 0.0732.
According to the statement, the Newton's law of cooling is defined by the following formula:
[tex]T(t) = T_{s} + (T_{o}-T_{s})\cdot e^{-k\cdot t}[/tex] (1)
Where:
[tex]T_{s}[/tex] - Final temperature, in degrees Celsius.[tex]T_{o}[/tex] - Initial temperature, in degrees Celsius.[tex]t[/tex] - Time, in minutes.[tex]k[/tex] - Cooling rate, in [tex]\frac{1}{min}[/tex].[tex]T(t)[/tex] - Current temperature, in degrees Celsius.Please notice that substance reaches thermal equilibrium when [tex]T(t) = T_{s}[/tex], that is when temperature of the substance is equal to the temperature of surrounding air.
If we know that [tex]T_{o} = 80\,^{\circ}C[/tex], [tex]t = 15\,min[/tex], [tex]T_{s} = 50\,^{\circ}C[/tex] and [tex]T(15) = 60\,^{\circ}C[/tex], then the cooling rate of the substance is:
[tex]60 = 50 + (80 - 50)\cdot e^{-15\cdot k}[/tex]
[tex]\frac{60-50}{80-50}= e^{-15\cdot k}[/tex]
[tex]\frac{1}{3} = e^{-15\cdot k}[/tex]
[tex]k = -\frac{1}{15}\cdot \ln \frac{1}{3}[/tex]
[tex]k \approx 0.0732[/tex]
The cooling rate of the substance is approximately 0.0732.
To learn more on Newton's law of cooling, we kindly invite to check this verified question: https://brainly.com/question/13748261
Answer:
B: 0.0732
Explanation:
I took the test :)
Related Questions
What three things do you need for thunderstorm formation.
Answers
Answer:
Moisture,Instability, and a lifting mechanism.
In order to help prevent collisions with motorcycles, one of the hosts of the video recommends thinking of motorcycles as __________.
Answers
A lot of accident do happen on the highway. In order to help prevent collisions with motorcycles, one of the hosts of the video recommends thinking of motorcycles as occupying a space the same size as a car.
There are different ways to deal with motorcyclists in traffic so as too avoid collision. When in traffic, one must known that motorcyclist can stop faster or more quickly than cars.
The National Highway Traffic Safety Administration (NHTSA) has found out that motorcyclists are a likely than passengers of a car to die as a result of an accident and as such safety is important.
There are some important steps to reduce one's risk of being involved in a collision with a motorcycle. They are;
Always be on the alert or on point for motorcycles. Make sure to use your turn signals. Try to avoid distractions while driving. Always be careful and also be mindful when entering crossroads and intersections. Do stay at least four car lengths behind motorcycles on the road.
Learn more about collision from
https://brainly.com/question/25625086
All of the following changes to a metal are physical changes except.
Answers
Answer:
A. Cutting
B. Melting
C. Rusting
D.Polishing
Answer: Rusting
Explanation:
Which of the following statements is(are) correct when discussing homeostasis?.
Answers
Homeostasis is the physiological process by which the temperature and other functions are regulated. The internal conditions, sensor, effector, and control center of the feedback system are all related to homeostasis.
What is homeostasis?Homeostasis is the internal autoregulation of the internal environment of the body that provides stability to an organism. To maintain homeostasis the internal body conditions are regulated continuously.
The sensor, effector, and control center are the component of the feedback system that monitors, changes, and compares the physiological value of the bodily functions.
Therefore, homeostasis maintains the internal conditions of the body.
Learn more about homeostasis here:
https://brainly.com/question/12025698
#SPJ1
using the words from the word list name all the parts of the isosceles
Answers
All of the following are functions of the nervous system except.
Answers
Answer:
brain is NOT a part of the peripheral nervous system. The brain, brain stem and spinal cord are all components of the central nervous system.
Popcorn popping in a pot on the stove is an example of:.
Answers
Answer:
Convection
Explanation:
I hope it helps Let me know.
An event with a probability of 0 is an event with a probability of 1 is.
Answers
Answer:
An event with a probability of 0 is Impossible. ✔
An event with a probability of 1 is Certain. ✔
Hope I have Helped ❤
Read these lines from emily dickinson's "712" ("because i could not stop for death"): we paused before a house that seemed a swelling of the ground – the roof was scarcely visible – the cornice – in the ground – what is one purpose of the figurative language in this excerpt?.
Answers
The purpose of the figurative language in this excerpt is to compare the grave to a house, making it seem inviting. An excerpt is a short extract from a film, music or writing.
An excerpt refers to a short extract from a film, music and/or writing.
Moreover, figurative language represents expressions used to create comparisons by connecting concrete senses and emotions to abstract ideas.
Figurative language is widely used in literature to express different ideas and feelings.
Learn more about figurative language here:
https://brainly.com/question/2427003
Cacharrerosdelaweb. Com at the time of initial recognition, an item of property, plant and equipment will be measured by its cost.
Answers
At the time of initial recognition, a property, plant and equipment asset will be measured based on its cost: True.
Tangible assets such as property, plant and equipment are assets that are owned by a business firm and are used for the production or supply of its products and services.
In Business management, an asset would only be included in property, plant, and equipment, if it has the following features;
It is expected or required to be held for use but not for sale.It is owned by the business firm.It must be tangible and permanent in nature.It must have an expected life of a normal operating cycle that is typically above a year.At the time of initial recognition, a property, plant and equipment asset will be measured based on its cost, which is typically the cash-equivalent price or financial value on the recognition date according to generally accepted accounting principles (GAAP).
Read more on initial recognition here: https://brainly.com/question/24879843
As the hr director of your company, you are interested in comparing the effects of strength training, aerobic training, and yoga on decreasing rates of injury and absenteeism. Your company has 9 stores with roughly the same number of employees, and you randomly assign 3 stores to participate in strength training, 3 to aerobic training, and 3 to yoga. Your alternative hypothesis is.
Answers
Based on the information given, the alternative hypothesis will be that the observed variables have different effects on the decreasing rates of injury and absenteeism.
It should be noted that the alternative hypothesis suggests a statistical difference between the observed variables.
The question is about the effects of strength training, aerobic training, and yoga on decreasing rates of injury and absenteeism. In this case, the alternative hypothesis will be that the observed variables have different effects on the decreasing rates of injury and absenteeism.
Learn more about hypothesis on:
https://brainly.com/question/16931413
Which of the following is not useful for changing the font size?.
Answers
There are different ways to change front size. The option that is not useful for changing the font size is Orientation button
The term font size simply means the overall shape of a specific character. It is often measured in points.
Example is 12-pt font, 11 pts etc.Orientation is simply known to be a term that is used to show the positioning or general layout of an item linked to other items and not to change front type.
Which of the following is not useful for changing the font size?
answer choices
a. Font Size drop-down list
b. Increase Font Size button
c. Decrease Font Size button
d. Orientation button
Learn more about Front size from
https://brainly.com/question/24372153
A food establishment that serves oysters should have what.
Answers
A food establishment that serves oysters should have a proper storage
system and shuckers.
An establishment that serves this sea animal must have shuckers . They help
in the process of removal of shells of the oyster so as to ensure it is properly
processed and edible.
They must also have a proper storage system in order to prevent spoilage,
reduce wastage and increase profit of the food establishment.
Read more about Oysters here https://brainly.com/question/24841392
Answer:A variance approved by the local regulatory authority
Explanation:
The perimeter of the figure below is 113.7 cm.
Find the length of the missing side.
Answers
The length of the missing side it 8.8.
Explanation:Since we know the equation, we can find the missing side.
=> 113.7 = 38.2 + 2(7.9) + 19.1 + 3(10.6) + x
=> 113.7 = 38.2 + 15.8 + 19.1 + 31.8 + x
=> 113.7 = 104.9 + x
=> x = 8.8
Conclusion:Therefore, the length of the missing side it 8.8.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Which is a type of heat transfer that causes the air at the top floor.
Answers
Explanation:
Convection is the the transfer of heat my the physical movement of hot masses of air. As air is heated, it expands (as do all objects). As it expands, it becomes lighter then the surrounding air and it rises.
Which food is at a temperature that allows bacteria to grow.
Answers
Answer :Bacteria grow most rapidly in the range of temperatures between 40 °F and 140 °F, doubling in number in as little as 20 minutes. This range of temperatures is often called the "Danger Zone." To learn more about the "Danger Zone" visit the Food Safety and Inspection Service fact sheet titled Danger Zone.
Explanation: brainliest???
Rochelle plans to sell all of her shares when she can profit $6,250. What must the net asset value be in order for rochelle to sell? a. $12. 50 b. $31. 44 c. $31. 64 d. $100. 0.
Answers
Answer:
C. 31.64
Explanation:
A car slows from 22 m/s to 3. 0 m/s at a constant rate of 2. 1 m/s2. How many seconds are required before the car is traveling at a forward velocity of 3. 0 m/s?.
Answers
Answer:
The maximum velocity acquired by the car is 9.6 m/s.
Explanation:
The total time elapsed (t) = 8 s
⇒
⇒
⇒
⇒ 5v = 48
∴ v = 9.6 m/s
The maximum velocity acquired by the car is 9.6 m/s.
A car slows from 22 m/s to 3. 0 m/s at a constant rate of 2. 1 m/s2. The maximum velocity acquired by the car is 9.6 m/s.
what is velocity ?Velocity can be defined as the rate of change of the position of the object with respect to time, it is basically speeding the object in a specific direction.
Velocity is a vector quantity, it shows both magnitude and direction and The SI unit is meter per second (ms-1). If there is a change in magnitude or the direction of velocity of a body, then it is said to be accelerating.
Finding the final velocity is simple but few calculations and basic conceptual knowledge are needed.
For more details regarding velocity, visit
https://brainly.com/question/12109673
#SPJ2
The table below shows the number of protons, neutrons, and electrons in four ions.
Answers
The atom that has a charge of -1 is atom 3.
To get the net ionic charge, we will use the formula as shown:
Net ionic charge = Number of protons present in an ion + Number of electrons present in an ion.For atom 1;
Net ionic charge = 9 - 9
Net ionic charge = 0
For atom 2;
Net ionic charge = 9 - 8
Net ionic charge = + 1
For atom 3;
Net ionic charge = 9 - 10
Net ionic charge = -1
For atom 4;
Net ionic charge = 9 - 9
Net ionic charge = 0
From the calculation above, the atom that has a charge of -1 is atom 3.
Complete question:
Given the table;
Atom (1) (2) (3) (4)
Number of protons 9 9 9 9
Number of neutrons 8 9 9 10
Number of electrons 9 8 10 9
Based on the table, which atom has a charge of -1
Learn more about charge here: https://brainly.com/question/4145751
Which of the following statements is true about blood alcohol content.
Answers
Explanation:
hope this will helps you
A rock is thrown straight up from the surface of earth. Neglecting air resistance, which one of the following statements describes the energy transformation of the rock as it rises?.
Answers
Answer:
A rock is thrown straight up from the surface of the Earth. Which one of the following statements describes the energy transformation of the rock as it rises? Neglect air resistance. (c) The kinetic energy increases and the potential energy decreases.
Please mark me as brainliest.
The statement that describes the energy transformation of the rock as it rises is the kinetic energy decreases and the potential energy increases. The correct option is (b)
What is the transformation of energy?The process of converting energy from one form to another is called energy transformation or energy conversion. Energy is a property of matter that gives us the ability to move or do work.
The environment has a variety of energy forms. These energies include gravitational energy, potential energy, kinetic energy, etc. The potential energy is transformed into kinetic energy when the person movers.
The person uses kinetic energy to perform some action. The energy that, when labor is done, is transformed into kinetic energy.
Therefore, the correct option is (b) The kinetic energy decreases and the potential energy increases.
To learn more about energy transformation, refer to the link:
https://brainly.com/question/20282449
#SPJ6
The question is incomplete. Your most probably complete question is given below:
(a) Both the potential and kinetic energy increase
(b) The kinetic energy decreases and the potential energy increases
(c) The kinetic energy increases and the potential energy decreases.
(d) The total energy of the rock increases
Use trigonometric identities to verify each expression is equal. csc2(x) - 2csc(x)cot(x) + cot2(x) = tan2(x/2)
Answers
By definition of csc and cot,
csc²(x) - 2 csc(x) cot(x) + cot²(x) = …
… = 1/sin²(x) - 2 cos(x) / sin²(x) + cos²(x) / sin²(x)
Combining fractions,
… = (1 - 2 cos(x) + cos²(x)) / sin²(x)
Factorize the numerator and use the Pythagorean identity,
cos²(x) + sin²(x) = 1,
to rewrite the denominator.
… = (1 - cos(x))² / (1 - cos²(x))
Cancel a factor of 1 - cos(x).
… = (1 - cos(x)) / (1 + cos(x))
Using the half-angle identities,
sin²(x) = (1 - cos(2x))/2
cos²(x) = (1 + cos(2x))/2
it follows that
1 - cos(x) = 2 sin²(x/2)
1 + cos(x) = 2 cos²(x/2)
and so
… = (2 sin²(x/2)) / (2 cos²(x/2))
… = sin²(x/2) / cos²(x/2)
Finally, by definition of tangent,
… = tan²(x/2)
Based on the description that follows how many potential.
Answers
The number of potential insider threat indicators is; 0 potential insider threat indicators
The given description is missing and it is;
How many potential insider threat indicators does a person who is married with two children, vacations at the beach every year, is pleasant to work with, but sometimes has poor work quality display?
Insider threat indicators are individuals that posses authorized access to certain encrypted government documents/resources and makes use of those government properties to cause harm to the security of a place or state or country. Now, in our question the married man goes on vacations with his family and as such there is no insider threat indicator because there is no outsider and though the person has poor work quality display, he will not harm his family.Read more about insider threat indicators at;
https://brainly.com/question/25164014
A person who studies and researches events, peoples, ideas, and issues in the past is known as.
Answers
Answer:
Archaeologist
Explanation:
They would be known as an archaeologist
Which of the following is a goal of collaborative discussions about literature?.
Answers
Answer:
I need only 5 brainlisted please give me
Explanation:
please understand my situation
When must a system of linear equations be solved algebraically.
Answers
Answer: The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.
Explanation:
A cylindrical tank is half full of oil.
Answers
Answer:
What is the question asking?
Explanation:
hope this helps
When earth and moon are separated by a distance of 3. 84.
Answers
Answer:https://brainly.com/question/25682363?referrer=searchResults
Explanation:
Physics sucks it’s so confusing
Answers
Answer:
You should've put this under physics.
Read the excerpt from the diary of a young girl. So there we were, father, mother and i, walking in the pouring rain, each of us with a schoolbag and a shopping bag filled to the brim with the most varied assortment of items. The people on their way to work at that early hour gave us sympathetic looks; you could tell by their faces that they were sorry they couldn't offer us some kind of transportation; the conspicuous yellow star spoke for itself. What is the mood of this excerpt?.
Answers
The mood of this excerpt is: Distressing.
The mood is the feeling that the reader senses after reading the description of events in a story.
In the story above, we can see that there is a mood of distress caused by the immediate suffering of the family who was under terrible weather. Their inability to be helped by others worsened their conditions.
Learn more about literary moods here:
https://brainly.com/question/760210