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

Which of these might affect how an age-of-consent law.

Answers

thiers no choices to chose from.

Two customers took out loans from a bank. • henry took out a 4-year loan for $5,000 and paid 4. 2% annual simple interest. • ingrid took out a 6-year loan for $5,000 and paid 3. 9% annual simple interest. What is the difference between the amounts of interest henry and ingrid paid for their loans?.

Answers

Explanation:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering Henry's loan,

P = 5000

R = 4.2

T = 4 years

I = (5000 × 4.2 × 4)/100 = $840

Considering Ingrid's loan,

P = 5000

R = 3.9

T = 6 years

I = (5000 × 3.9 × 6)/100 = $1170

The difference between the amounts of interest Henry and Ingrid paid for their loans is

1170 - 840 = $330

Which theme is explored in the selection from the boston girl?.

Answers

The power of encouragement.

Explanation:

* By Anita Diamant, "The Boston Girl" is narrated in first-person a girl, Addie.

* Addie feels empowered after Miss Chevalier encourages her by emphasizing her qualities.

* Miss Chevalier takes care of a settlement house in a poor neighborhood, helping families of immigrants.

* She notices that Addie is a good reader and asks her to memorize a poem for a recital.

* She also teaches Addie the importance of knowing the meaning of words and knowing what words apply to oneself.

* For instance, she teaches Addie that she is a girl with "gumption".

*Addie feels seen, strong, and capable

because of Miss Chevalier.

Which graph represents a reflection of f(x) = 6(0. 5)x across the x-axis?.

Answers

Answer: f(x)=6(0.5)^x

Which change will decrease the electric force between two positively charged objects?.

Answers

By increasing the separation distance between objects decreases the force of attraction or repulsion between the objects.

The new clients are not responding to our product the way we had hoped. - frankly, i’m hardly with last month’s sales.

Answers

Based on the information given, it can be noted that the word that will accurately fit into the sentence will be "beside myself".

Based on the complete information, it should be noted that one cannot use cloud nine, over the moon, or down in the dumps as they do not fit accurately into the sentence.

Therefore, the correct sentence will be that the new clients are not responding to our product the way we had hoped. Frankly, i’m hardly beside myself with last month’s sales.

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Alissa works for a wireless company, and she prides herself on the fact that her job duties help keep the emergency service phone line operating, which ultimately saves lives. Alissa’s sentiment reflects.

Answers

Considering the situation described above, Alissa’s sentiment reflects task significance.

What is Task Significance?

Task Significance is the mental perception in which individuals consider their work view as significantly influencing other people's lives both within and outside the company.

How Task Significance is Applicable here

Given that Alissa believes that her job duties help keep the emergency service phone line operating, this is an example of the Task Significance phenomenon.

Hence, in this case, it is concluded that the correct answer is "Task Significance."

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Ahmet is allergic to dogs. While in the toy store he sees a stuffed toy dog and has an allergic reaction. Ahmet’s reaction to the toy best demonstrates the process of.

Answers

Considering the situation described above, Ahmet’s reaction to the toy best demonstrates the process of generalization.

The definition of generalization of reaction

Generalization of reaction is a term used to describe the propensity to react similarly to different but related stimuli.

Generalization concept in this situation

Given that Ahmet is allergic to dogs and, at the same time, has an allergic reaction to a stuffed toy dog, this is a form of generalization.

Hence, in this case, it is concluded that the correct answer is "generalization."

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Unknown element x has four energy levels, five valence electrons, and is a metalloid. What is element x?.

Answers

Answer:

I think the answer is Silicon.

Explanation:

Hope this helps.

how can you help someone believe in themselves again and please explain you answer

Answers

Live By Example. So, we've established by now that you're your own harshest critic. ...
Put It Into Words. ...
Show It In Other Ways. ...
Listen. ...
Challenge Them. ...
Encourage Them To Make Decisions And Take Steps.

A scale factor of one-third is used to make a reduction of the original triangle. Original triangle reduced triangle height 12 base 24 what is the base of the reduced triangle? 4 8 9 21.

Answers

Answer:

B - 8

Explanation:

The linear scale factor is used to reduce or enhance the size of the original measures. The base of the reduced triangle is 8. Thus, option b is correct.

What is a linear scale factor?

The linear scale factor is the reduction or the enlargement of the size like the width, height, base, length, etc. of the geometrical shape.

Given,

The height of the original triangle = 12

The base of the original triangle = 24

The linear scale factor reduces the original size by 1/3 factor.

The 1/3 factor of the base will be = 24 ÷ 3 = 8

Therefore, option b. 8 is the base of the reduced triangle.

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#SPJ2

When you add hot water to cold water the cold water warms up because of

Answers

Okay this is like Science or Chemistery, probably Sience

Answer:

So say you have some cold water running, if you turn on the hot water than the hot water will start coming too. The energy of the hot water will start warming up the cold water.

Explanation:

I don't really know, just tossing reasonable stuff out here.

A compound is broken down by chemical means during.

Answers

Answer:

"broken apart in chemical reactions called decomposition reactions"

Explanation:

So, Compounds can be broken apart in chemical reactions called decomposition reactions. For example, water can be broken down into the diatomic elements hydrogen gas and oxygen gas in a chemical reaction called electrolysis. ... Some compounds undergo thermal decomposition when they are heated

You wish to earn a return of 13% on each of two stocks, x and y. Stock x is expected to pay a dividend of $3 in the upcoming year while stock y is expected to pay a dividend of $4 in the upcoming year. The expected growth rate of dividends for both stocks is 7%. The intrinsic value of stock x.

Answers

Based on the information given, the intrinsic value of stock x will be less than the intrinsic value of stock Y.

Based on the information given above, the intrinsic value of Stock X will be calculated thus:

D1 = Dividend in next year = $3

g = growth rate = 7%

r = = 13%

Therefore, intrinsic value of Stock X will be:

= D1 / (r-g)

= 3 / (13% - 7%)

= 3/6%

= 3 / 0.06

= $50

Therefore, the intrinsic value of stock X is $50.

Intrinsic value of Stock Y will be calculated thus:

D1 = $4

g = 7%

r = 13%

Intrinsic value of Stock Y will be:

= D1 / (r-g)

= 4 / (13% - 7%)

= 4/6%

= 4 / 0.06  

= 66.67

Intrinsic value of Stock Y is $66.67

Therefore, the intrinsic value of Stock X will be less than the intrinsic value of Stock Y.

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What should the food worker do to safely thaw the pork.

Answers

Answer:

if the pork is in a bag, you can thaw it in a sink, or if it is not in a bag, put the pork in a bag before thawing it in said sink.

Which of the following non-renewable resources of energy has the smallest amount of fuel left on earth?.

Answers

Answer:

Their is no answer choices but Nonrenewable energy resources include coal, natural gas, oil, and nuclear energy.

Explanation:

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

Answers

Answer:

im not sure thanks

Explanation:

An 85-foot wire is tied from the top of a utility pole to the top of the building as shown below. Find d, the distance from the pole to the building.

Answers

The distance from the pole to the building is 79 feet

The relationship between the utility pole and the 85-foot wire, can be adjusted to fit in the description of a right-angled triangle.

So, the distance (d) can be calculated using the following sine function.

[tex]\sin(68) = \frac{d}{85}[/tex]

Multiply both sides of the equation by 85

[tex]85 \times \sin(68) = \frac{d}{85} \times 85[/tex]

Cancel out the common factors

[tex]85 \times \sin(68) = d[/tex]

Evaluate sin(68)

[tex]85 \times 0.9272 = d[/tex]

Evaluate the product

[tex]78.812 = d[/tex]

Approximate

[tex]79= d[/tex]

Rewrite the equation

[tex]d = 79[/tex]

Hence, the distance from the pole to the building is 79 feet

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Which of the following illustration do not show congruence.

Answers

Congruence simply means harmony or compatibility. The shapes are congruent when they have the same shape and size.

Your information is incomplete. Therefore, an overview of congruence will be given. Two geometric figures are congruent if it's possible to superpose one of them on the other one.

When two similar shapes are placed above each other, and they cover each other, then they are said to be congruent.

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A cart with an unknown mass is at rest on one side of a track. A student must find the mass of the cart by using newton’s second law. The student attaches a force probe to the cart and pulls it while keeping the force constant. A motion detector rests on the opposite end of the track to record the acceleration of the cart as it is pulled. The student uses the measured force and acceleration values and determines that the cart’s mass is 0. 4kg. When placed on a balance, the cart’s mass is found to be 0. 5kg. Which of the following could explain the difference in mass?.

Answers

Answer:

The track was not level and was tilted slightly downward.

Explanation:

The track was not level and was tilted slightly downward.

Who played cleopatra in the caesars sportsbook commercial.

Answers

Halle Berry I hope this helps

Red lights on a traffic light have a frequency of 4. 3 x 1015 hz. What is the red light’s wavelength in meters?.

Answers

It is the same but you just have to calculate

A mouse’s rate of carbon dioxide output increased. Which of the following most likely happened?.

Answers

Answer:

Umm, not to like to be annoying but what are the multi choice questions.

Explanation:

All of the following duties are responsibilities of county government officials except __________.

Answers

Answer: regulating public service corporations

Explanation: due to it being public

Which of the following lists includes only organisms composed of cells?.

Answers

Answer:

last one

Explanation:

protists, bacteria, plants

Two congruent squares are shown in figures 1 and 2 below.

Answers

The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2. The area of the unshaded square in Figure 1 can be represented by . The combined area of the two unshaded squares in Figure 2 can be represented by . The areas of the squares in Figure 1 and Figure 2 show that .
Given :
Figure 1 and figure 2 are given.
The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2.
The area of the unshaded square in Figure 1 can be represented by .
The combined area of the two unshaded squares in Figure 2 can be represented by .
The areas of the squares in Figure 1 and Figure 2 show that .

Why does nasa publish a different star finder every month?.

Answers

Answer:

We see different views of the Universe from where we live as Earth makes its yearly trip around the solar system. That is why we have a different Star Finder for each month, as different constellations come into view.

Which statement correctly describes a property of white light.

Answers

[tex] \\ [/tex]

It contains different wavelengths of visible light.

Finding dead insects or mouse droppings in the kitchen indicates which of the following.

Answers

Finding dead insects or mouse droppings in the kitchen is an indication of pest infestation.

Pest infestation is the occurrence of one or more pest species in an area or location where their numbers and impact are currently or potentially at intolerable levels. It can also be defined as a sudden increase in the population numbers of a pest species in a given area.

Finding dead insects or mouse droppings in the kitchen is an indication of pest infestation.

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At midday, what is happening in the leaf of a plant?.

Answers

photosynthesis.
with the energy from the sun, the plant is growing more and more cells.
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