Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 300 cm3, the pressure is 180 kPa, and the pressure is increasing at a rate of 30 kPa/min. At what rate is the volume decreasing at this instant?

Answers

Answer 1

Answer:

The gas is decreasing at a rate of 50 cubic centimeters per minute.

Explanation:

The Boyle's Law is represented by the following expression:

[tex]P\cdot V = k[/tex] (1)

Where:

[tex]P[/tex] - Pressure, in kilopascals.

[tex]V[/tex] - Volume, in cubic centimeters.

[tex]k[/tex] - Proportionality constant, in kilopascal-cubic centimeters.

By definitions of rate of change and implicit differentiation, we derive the following differential equation:

[tex]\dot P \cdot V + P\cdot \dot V = 0[/tex] (2)

Where:

[tex]\dot P[/tex] - Rate of change of the pressure, in kilopascals per minute.

[tex]\dot V[/tex] - Rate of change of the volume, in cubic centimeters per minute.

Then, we clear the rate of change of the volume within (2):

[tex]P\cdot \dot V = -\dot P\cdot V[/tex]

[tex]\dot V = -\left(\frac{\dot P}{P} \right) \cdot V[/tex]

If we know that [tex]P = 180\,kPa[/tex], [tex]\dot P = 30\,\frac{kPa}{min}[/tex] and [tex]V = 300\,cm^{3}[/tex], then the rate of change of the volume is:

[tex]\dot V = -\left(\frac{\dot P}{P} \right) \cdot V[/tex]

[tex]\dot V = -50\,\frac{cm^{3}}{min}[/tex]

The gas is decreasing at a rate of 50 cubic centimeters per minute.


Related Questions

Advise a friend who responds to conflict by using the strategies below on why
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a. Confrontation​

Answers

Answer:

When there is a conflict and if a friend responding to conflict with confrontation it may affect positively or negatively both ways depend how he responds or confront the other person he has a conflict with. But normally people alienate with the person being confrontational. A friend should try to resolve the conflict by making an amicable solution.

if it is used correctly it could help in making the relationship strong, however, confronting by attacking them verbally, insult them, or talking loudly among the group of people can escalate the conflict.

I will advise him to be cautious of the approach as it may positively or negatively affect the situation.

What is Confrontation?

This is the process which involves directly engaging one another in the course of a dispute between them.

This method however could either resolve the conflict or worsen it which is why special approach should be taken by being calm and being respectful to the other party involved.

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Of the three Intermolecular forces, the type with the largest dissociation energy is ________.
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B. Dispersion forces
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Answers

Answer:

C. Hydrogen bonds​

Explanation:

Strongest intermolecular force

Hydrogen Bonding (H-Bonding)

Hydrogen bonds are caused by highly electronegative atoms. They only occur between hydrogen and oxygen, fluorine or nitrogen, and are the strongest intermolecular force.

Answer: C hydrogen bonds

Explanation:

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Answer:

True

Explanation:

Answer:No, the Cell Membrane does I'm pretty sure

Explanation:

________ exercise strengthens skeletal muscle, and ________ exercise strengthens skeletal and cardiac muscle.
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What is the molality of a 10.0 % by mass solution of NaCl?
(molar mass of NaCl = 58.44 g/mol)
mol/kg

Answers

On CK-12 all of these answers are correct

1.9

1.888

1.89

1.88

The molality of a 10.0 % by mass solution of sodium chloride (NaCl) is 1.7M.

How do we calculate molarity?

Molarity of any solution will be calculated as number of moles of solutes present in per litre of the solution.

Moles of the substance will be calculated as:

n = W/M, where

W = given mass

M = molar mass

Given that percent mass of NaCl = 10% i.e. 10g of NaCl is present in 100 g of solution.

We know that 1 g = 0.001 L

100 g = 0.1 L

Moles of NaCl = 10g / 58.44g/mol = 0.17 mol

Molarity of NaCl = 0.17 / 0.1 = 1.7M

Hence required molarity is 1.7 M.

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Answers

Answer:

b

Explanation:

Answer:

D. Dry

Explanation:

Colorado's combination of high elevation, midlatitude, and continental interior geography results in a cool, dry climate.

what is a mole and its properties​

Answers

One mole of a substance is equal to 6.022 × 10²³ units of that substance (such as atoms, molecules, or ions). The number 6.022 × 10²³ is known as Avogadro's number or Avogadro's constant. The concept of the mole can be used to convert between mass and number of particles.

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Answer: Hotspot: A hotspot is a physical location where people can access the Internet, typically using Wi-Fi, via a wireless local area network (WLAN) with a router connected to an Internet service provider. ... While many public hotspots offer free wireless access on an open network, others require payment.

A hot spot is an area on Earth over a mantle plume or an area under the rocky outer layer of Earth, called the crust, where magma is hotter than surrounding magma. The magma plume causes melting and thinning of the rocky crust and widespread volcanic activity.

Explanation: MY own word's.

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The greenhouse effect is a process that occurs when gases in Earth's atmosphere trap the Sun's heat. This process makes Earth much warmer than it would be without an atmosphere. It is one of the things that makes Earth a comfortable place to live.

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Answers

Answer:

215 moles

Explanation:

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Answers

It’s C)H2SO4
Good luck
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Answers

Answer:

Explanation: A compound with the empirical formula SO has a molecular weight of 96.13

i What
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Answers

When an element shares electrons with other atoms of the same or different elements to acquire stable electronic configuration, it is called covalency. If an atom shares 1 electron, its covalency is equal to 1. ... It needs 3 electrons to complete its octet.

Is this equation balanced: AgNO3 + 2 KCl -->AgCl + KNO3 Yes No

Answers

Answer:

No

Explanation:

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Answers

Answer:

CaO < BaO < KCl <KI

Explanation:

Let us remember that the solubility of an ionic substance in water depends on the magnitude of the lattice energy and the hydration energy.  If the hydration energy is equal to or is greater than the lattice energy, the substance dissolves in water.

However, the lattice energy depends on the size of the ions. The smaller the ions in the ionic compound, the higher the lattice energy and the lesser the solubility of the ionic compound.

KI has the least lattice energy and the highest solubility in water while CaO has the highest lattice energy and the least solubility in water.

is the sun the only star in our solar system

Answers

Answer:

Hey mate......

Explanation:

This is ur answer.......

The largest star, and indeed the only star in our solar system, is the sun. The sun is a bit under a million miles across. About 110 Earths put side by side would equal the size of the sun. The sun has 99.8 percent of the mass of our solar system.

Hope it helps!

Mark me brainliest pls......

Follow me! :)

yes hahahahahahah......

To prepare a buffer solution with a pH of 4.1, which acid should be used?
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Answers

Answer:

benzoic acid: pka = 4.19

Explanation:

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I think it would be d bc water is everywhere


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B. reactants
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products

Answers

Explanation:

The general equation for an endothermic reaction is: Reactants + Energy → Products.

Hope it helps :)❤

The equation represents an endothermic reaction is reactants + energy

products.

What is an endothermic reaction?

Endothermic reactions are chemical reactions in which the reactants soak up warm strength from the surroundings to form products.

net energy is not released.heat is not evolved with the product.heat is required to start the reaction.increase with the increase in temperature.decrease with a decrease in temperature.

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A
5.0
50.0
B
5.0
75.0
с
5.0
100.0
D
5.0
125.0
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O A Solution B
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O
C. Solution C
D. Solution D

Answers

Divide the volume of water with mass of salt and multiply with 100 you'll get the concentration percentage

answer is B, because solution A's percentage is 10%

brainliest plz

There are eight diastereomers of 1,2,3,4,5,6-hexachlorocyclohexane. One of them is drawn. Draw the other seven in the cyclohexane framework below (5 points). One isomer loses HCl in an E2 reaction nearly 1000 times more slowly than the others. Circle the isomer that reacts so slowly, draw its corresponding chair conformers and explain the reason for the slow rate. (5 points).

Answers

Answer:

Attached below diagram of the eight diastereomers

The Isomer that reacts so slowly is DIASTEREOMER 8

Explanation:

The Isomer that reacts so slowly is DIASTEREOMER 8 in an E2 reaction and this is because no pair of chlorine and hydrogen atoms can assume the anti-periplanar orientation that is preferred in an E2 elimination

attached below is Diagram of the eight diastereomers ( screen shot from my drawing tool )

How many grams of ( S ) - 1 - chloro - 4 - ethyl - 2 - methylhexane and triphenylphosphine would you need to create 4 . 1 5g of ( S ) - 1 - chloro - 4 - ethyl - 2 - methyl triphenylphosphonium assuming an 8 1 % yield for the reaction?

Answers

Answer:

Explanation:

The standard molar mass is:

For (S )-1-chloro-4-ethyl-2-methylhexane = 162.5 g/mol

For triphenylphosphine  = 262 g/mol

For  ( S )-1-chloro-4-ethyl-2-methyl triphenylphosphonium = 424.5 g/mol

The mass required for 81% yield = [tex]\dfrac{81}{100} \times Theoretical \ yield = 4.15 g[/tex]

Theoretical yield = [tex]\dfrac{4.15}{0.81}[/tex]

= 5.1235 g

thus, since 424.5 g yield produce from 162.5 g

5.1235 g yield will produce = [tex]\dfrac{162.5}{424.5}\times 5.1235 \ g[/tex]

= 1.9613 g of alkyl halide (-chloro) required.

Also, since 424.5 g yield produce from 262 g phosphine

5.1235 g yield will produce = [tex]\dfrac{262}{424.5}\times 5.1235 \ g[/tex]

= 3.1622 g of triphenylphosphine required.

the form of EMR that has less energy per photon than microwaves is ____?

Answers

Answer: radio wave frequencies have longer wavelengths and smaller

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anyone help with the percent yield questions?

Answers

Answer:

oof this is way to hard sry man

Explanation:

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Answers

Answer:

The forest products industry plays a major role in the Swedish economy, and accounts for between nine and 12 percent of Swedish industry's total employment, exports, sales and added value. It includes companies within the pulp and paper industry, as well as the wood-mechanical industry.

How many fluorine atoms are there in 39.4 moles of CF4?

Answers

Answer:

here

Explanation:

Answer: 4

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