Boyle’s law states that if the temperature of an ideal gas is held constant, then the pressure p of the gas and its volume v satisfy the relationship p=kv, where k is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the pressure and the rate of change, with respect to time t, of the volume?.

Answers

Answer 1

The best answer that describes the relationship between the rate of change with respect to time of the pressure and the rate of change with respect to time t of the volume is; dP/dt = (-k/V²)(dV/dt)

We are given;

p = k/v

Thus if we cross multiply, we will get;

PV = k

Where;

P is pressure

V is volume

k is a constant

Using the product rule of differentiation on both sides with respect to time t gives;

V(dP/dt) + P(dV/dt) = 0

This is because k is a constant.

Putting k/v for P gives;

V(dP/dt) + (k/V)(dV/dt) = 0

>> V(dP/dt) = - (k/V)(dV/dt)

Divide both sides by V by division property of equality to get;

dP/dt = (-k/V²)(dV/dt)

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Related Questions

A local supermarket organised two weeks of promotions to boost sales. The average daily sales before the campaign is $10 000, which becomes $11 000 during the promotion (average over 2 weeks). Which analysis below is not useful for evaluating whether the increase in sales is statistically significant?.

Answers

The analysis that is not useful for evaluating whether the increases in sales are statistically significant is to monitor sales for a longer period of time.

Statistical analysis helps to use different methods to properly collect data, and therefore future predictions and solutions. This is important to achieve organizational goals.

From the complete information, analysis that is not useful for evaluating whether the increases in sales are statistically significant is to monitor sales for a longer period of time.

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Plz don’t answer if you don’t know the answer and thank you if you helped me god may bless u

From Father's Choice
(Page 56)
Father avoids Mother when she is ill rather than trying to cure or even comfort her before
dying. Write a paragraph explaining what you think is going on in his mind.


Book: Mechanica by Betsy Cornwell

Answers

Answer:

Explanation:

The Father is proably tramatized but he  wants to stay strong for mother,considering the fact that she is about to die. He is proably very hesterical but, must stay strong because it will make mother sad,and she will die dissapponted. He is thinking that if he cries or if he tries to make it better it will only make the situation worse. He feels like e is going to ruin something if he tries to stay with Mother. It's better to stay away because it's only gonna hurt Father because Mother is already heading home.

What spell would newt scamander have used to make his case big enough.

Answers

The Magizoologist in Harry Potter is a man called Newton Scamander. The spell that Newt Scamander can use to make his case big enough is Extension Charm or Capacious extremis.

Capacious extremis when translated means capacity and spacious. This spell helps wizard or witch to alter small enclosures such as like bags and making all kinds of extra invisible space within them.

The Magizoologist Newton Scamander was known to have a magical suitcase that was bewitched with an Undetectable Extension Charm.

He placed a lot of magical beasts while inside it as he traveled.

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Which of the following is an example of the self-fulfilling prophecy?.

Answers

Self-fulfilling prophecy is a psychological theory where what is believed or expected or said to a person comes to pass even if the belief is not a fact.

An example of  self-fulfilling prophecy is telling a person that they are so poor in mathematics. This might not be true but because the person is told repeatedly, the person begins to believe it and would eventually become poor in mathematics.

Self-fulfilling prophecy can be negative or positive. It depends on the way it is used.

Here are the options of this question:

telling blue-eyed people they are unattractive, then feeling bad and complimenting people with blue eyes to avoid feeling guilty telling people you hate boy bands, then taking your child to a boy band fan club meeting telling someone with dyslexia she cannot learn to read, leading her to become illiterate even though she could learn to read with a bit of extra effort telling your spouse you hate his cooking, then taking over the cooking yourself to avoid food poisoning

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Que espacios para la toma de decisiones tengo con mi familia.

Answers

Answer:

I don't understand your question

Ken is not satisfied with his thesis statement in sentence 3. Which of the following should replace sentence 3 to provide a more effective thesis statement?.

Answers

Please show more information regarding this question so I may help you.

Where are 2 places you can search for apps that work with quickbooks online?.

Answers

Based on the application analysis, the 2 places you can search for apps that work with QuickBooks online are QuickBooks App Store and QBO account.

The Steps to search for apps that work with QuickBooks online

Go to QuickBooks Apps.

Select a specific Categories section.

Click the Get app now button.

In the option of the QBO account. Do the following:

Go to the Apps menu.

Download the App through the category button.

Hence, in this case, it is concluded that the correct answer is "QuickBooks App Store and QBO account."

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In sentence 6 (reproduced below), the writer is considering deleting the underlined text. However, strong evidence indicates that this event did not inspire the poem and that the author was in fact sarah josepha hale, not roulstone. Should the writer keep or delete the underlined text?.

Answers

Based on the information given, the correct option will be C. Keep it, because it previews the way the rest of the passage will support the thesis about Hale's authorship with evidence.

From the question, it was stated that one should show what the author should do with the underlined text.

The underlined text is important as it gives a preview of the passage. It's also used as supporting evidence to the claim of Hale.

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Which of the following costs are relevant to a make-or-buy decision?.

Answers

Answer:

im not sure thanks

Explanation:

Which of the following is most clearly an example of a theme.

Answers

I think the best answer would be among the choices A is an example of symbolism

Iconic memory is used when a loud thunderclap occurs during a storm.

Answers

Answer:

Memories of specific personal events are examples of semantic long-term memories. The process of storing, encoding, and retrieving information is known as memory.

Explanation:

[tex]\huge{\mathfrak{꧁HeavenMistress꧂}}[/tex]

Answer:

F

Explanation:

The chart shows shared characteristics of three different species. Which organisms are most closely related? species a and b species a and c species b and c species c and d.

Answers

Answer:

B and C are the correct ones.

Answer:

b and c

Explanation:

Throwing a snowball during a snow ball fight is most like an example of.

Answers

Answer:

Accumulation

Choices should be:

Weather, erosion, deposition, and acumulation

Explanation:

This is because the snow had to accumulate enough in order to make a snowball.

-Lexi

Which element has the highest melting point tantalum rhenium osmium hafnium.

Answers

Answer:

Number 1

Explanation:

A security team is working with a client to evaluate the security of data and it functions that are most critical to the operation and success of their organization.

Answers

The three (3) security goals that would align and prioritize security efforts to the business goals of an organization are:

1. Confidentiality

2. Integrity

3. Availability

A security goal can be defined as both the short-term and long-term strategic objectives that detects and protects the assets of a business organization from theft or misappropriation by any internal or external party.

This ultimately implies that, it is very important that security goals of a business organization are aligned with its business goals.

Generally, there are three (3) main security goals for all business organizations and these include:

Confidentiality: the confidentiality of all data and assets should be well protected.

Integrity: the integrity of all data and assets should be preserved.

Availability: all data and assets should be provided for authorized use only.

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Raymond bought a car for $40, 000. He took a $20,000 loan from a bank at an interest rate of 15% per year for a 3-year period. What is the total amount (interest and loan) that he would have to pay the bank at the end of 3 years?.

Answers

Answer:

20000*(1+15%)³=30417.5

Explanation:

The number $40000 is irrelevant. Don't be disturbed!

This is a typical compound interest question. Use the compound interest formula: S=p(1+i)ⁿ

S for sum, p for principal balance, i for interest rate, n for the number of years or times

The nitrogen atoms in a molecule of n2 share a total of.

Answers

Answer: 6!!!

Explanation:

A student wants to prove that the base angles of an isosceles triangle are congruent.

Answers

There are different kinds of triangles. The options that could be used as part of the proof that B = C are;

≅ because of the Symmetric Property

≅ because of the definition of a midpoint

≅ because of the definition of an isosceles triangle

∠ ≅ ∠ because corresponding parts of congruent triangles are congruent.

Isosceles triangles is known to have at least two congruent sides and also at least two congruent angles.

The congruent sides is referred to as legs that create the vertex angle. The other two congruent angles are known to be the base angles.

See full question below (using the image attached)

A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC with base angles B and C.

Point M is drawn as the midpoint of BC.

Which of the following could be used as part of the proof that B = C? Select all that apply

Which of the following is not a characteristic of the sampling distribution of sample means (the means of all possible samples of a given size)?.

Answers

Answer:

The mean is zero and standard deviation is one. Not standard sample

how much does the triple treat box cost please help

Answers

Answer:

lm.ao i.dk i think like $23

Explanation:

It looks so good, you should get it.

Answer:

$22.99

Explanation:

Right now, it costs $22.99

Which is the correct way to write the underlined portion of the following sentence? the students hoped to quickly finish the test so they would be able to work cooperatively on their projects.

Answers

No part of this is underlined but I believe it should read: the students hoped to finish the test quickly, so they would be able to work cooperatively on their projects.

what is SAT in full and what is its criterion as far as academics are concerned​

Answers

Answer:

Explanation:

For 75 percent of college student-athletes, they will have no issue meeting the academic minimums laid out by the NCAA. That said, just because you are a good student doesn’t mean you can assume you will meet the academic eligibility rules. Every year, student-athletes with 3.5+ GPAs and honors courses are declared academically ineligible due to not meeting one of the following NCAA eligibility requirements

In the following citation for a website which detail is optional according to mla style.

Answers

The detail that is optional according to MLA style is: 6 Mar.  2014.

In the Modern Language Association style for citing websites, it is optional to input the date that the information was accessed. It is not a requirement but it is highly recommended.

Also note that when citing the URL's, the https:// should be omitted. URL's are important in these citations.

Learn more about the MLA citation here:

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Answer:

mappinc link

Explanation:

2+5(8-5) answer brainly.

Answers

Answer:

10

Explanation:

The answer is 51 (correct me if I'm wrong)

We have 2+5 which equals 7. there is a ( between 5 and 8, meaning that we need to multiply. 7 x 8 = 56 ( 8+8+8+8+8+8+8) Now we have 56-5 and that equals 51

Brainliest if im correct pls :)

What is the name of the computer program used for file and process management in the linux system?.

Answers

Answer: Command Prompt

Explanation:

The van der waals forces of attraction between molecules always become stronger as molecular size.

Answers

Answer: Decreases.

Explanation: the smaller the molecule the stronger the force

A 0. 2 kg rubber ball is dropped from the window of a building.

Answers

Answer:

200grams rubber ball is dropped from the window of a building

To compare the teaching methodologies of two of its eighth-grade math teachers, a school decides to compare student test scores from the two classes throughout the year. Which type of statistical study is the school conducting?.

Answers

The type of statistical study that the school is conducting can be referred to as: a Prospective Observational Study.

Prospective Observational Study is a type longitudinal observational study where the research does not manipulate the research subjects but simply observe and collect data of the research subjects as their characteristics changes over time going forward.

Therefore, the type of statistical study that the school is conducting can be referred to as: a Prospective Observational Study.

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You and your lab group have been asked to design an investigation to determine the effects of heat transfer between two different objects. Which of the following investigation designs explains the heat transfer when atoms directly touch?.

Answers

There are different ways for transfer of heat. investigation designs explains the heat transfer when atoms directly touch is Hands touching the handle of pan sitting on a lit Bunsen burner.

In conduction, When two objects touch, heat from the hotter object is said to be transferred to the cooler object.

Heat as a flow of energy often arise from a higher temperature object to a lower temperature object.

The temperature that exist difference between the two neighboring objects can lead heat transfer.

The heat transfer is still ongoing until the two objects have attained thermal equilibrium and are found in the same temperature.

See full question

Which of the following investigation designs explains the heat transfer when atoms directly touch?

А Boiling water, in a pan, sitting on a lit Bunsen burner.

B Boiling water, in a pan, in front of a lit Bunsen burner.

С Hands warming in front of a lit Bunsen burner.

D Hands touching the handle of pan sitting on a lit Bunsen burner

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Managers at eller manufacturing are considering purchasing a new refrigerated delivery truck that will produce equal annual cash flows of $36,000 for 6 years. The truck’s net present value is $12,780, its cost is $144,000, its useful life is 6 years, and its annual depreciation expense (no salvage value) is $24,000. What is the discount rate used by eller to evaluate this project?.

Answers

It should be noted that the discount rate that was used by Eller to evaluate this project is 10%.

From the information given, the following can be depicted:

Annual cash inflows = $36,000 Period of cash inflows = 6 years Cash outlay (initial investment) = $144,000 Depreciation expense = $24,000 Estimated useful of trucks = 6 years Net present value = $12,780

It should be noted that the Present Value Annuity Factor at 10% for 6 years is given as 4.355

Therefore, the Present Value of Annuity cash inflows will be

= ($36,000 x 4.355) =  $156,780  

Less initial investment cash outlay =  $144,000

Net present value =  $12,780

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