Watch the video to determine which of the following relationships are correct according to Boyle’s law.
1. PV∝P
2. P∝V
3. PV∝V
4. P∝1V
5. V∝1P
6. V∝P
Part B. Standard temperature and pressure (STP) are considered to be 273 K and 1.0 atm. Predict which of the following changes will cause the volume of the balloon to increase or decrease assuming that the temperature and the gas filling the balloon remain unchanged. Drag the appropriate items to their respective bins.
A. Volume increases
B. Volume decreases
C. Volume is unchanged
Part C. If a certain gas occupies a volume of 20 L when the applied pressure is 10 atm, find the pressure when the gas occupies a volume of 5.0 L. Express your answer to two significant figures, and include the appropriate units.
ki, kf =
Part D. If a certain gas occupies a volume of 18 L when the applied pressure is 9.0 atm , find the pressure when the gas occupies a volume of 4.5 L .Express your answer to two significant figures and include the appropriate units.

Answers

Answer 1

Answer:

Part A

Boyle's Law is given mathematically as

P ∝(1/V) or V ∝(1/P)

Options 4 and 5, if they are properly written.

Part B

At constant temperature, and according to the Boyle's law for an ideal gas,

A. What can cause a Volume increase is a corresponding decrease in pressure.

B. What can cause a Volume decrease is a corresponding increase in pressure.

C. The Volume is unchanged if the pressure of the gas is unchanged too.

Part C

The pressure when the gas occupies a volume of 5.0 L = 40 atm

Part D

The pressure when the gas occupies a volume of 4.5 L = 36 atm

Explanation:

Part A

Boyle's Law states that at constant temperature, the pressure of an ideal gas is inversely proportional to the volume occupied by the gas.

So, mathematically, Boyle's Law is given as

P ∝(1/V) or V ∝(1/P)

Part B

Inverse relationship between two quantities means that the higher the value of one of the quantities go, the lower the value of the other quantity goes and vice versa.

So, at constant temperature, and according to the Boyle's law for an ideal gas.

A. What can cause a Volume increase is a corresponding decrease in pressure.

B. What can cause a Volume decrease is a corresponding increase in pressure.

C. The Volume is unchanged if the pressure of the gas is unchanged too.

Part C

A certain gas occupies a volume of 20 L when the applied pressure is 10 atm, find the pressure when the gas occupies a volume of 5.0 L.

According to Boyle's Law for an ideal gas,

P ∝(1/V)

P = (k/V)

where k is the constant of proportionality

PV = k

Therefore,

P₁V₁ = P₂V₂ = k

P₁ = 10 atm

V₁ = 20 L

P₂ = ?

V₂ = 5.0 L

10 × 20 = P₂ × 5

P₂ = 40 atm

Part D

If a certain gas occupies a volume of 18 L when the applied pressure is 9.0 atm , find the pressure when the gas occupies a volume of 4.5 L

P₁V₁ = P₂V₂ = k

P₁ = 9.0 atm

V₁ = 18 L

P₂ = ?

V₂ = 4.5 L

9 × 18 = P₂ × 4.5

P₂ = 36 atm

Hope this Helps!!!


Related Questions

Why was meteorology such a late developer compared to other branches of science?

Answers

Answer:

Because of the difficulties of measuring the atmosphere's properties above the earth's reachable surface

Explanation:

Hello,

In this case, meteorology is the branch of science studying the atmosphere in its weather processes and forecasting and it had a late development because of the difficulties of measuring the atmosphere's properties above the earth's reachable surface. We cannot forget that even nowadays, it is very difficult to predict upcoming weathers with the 100 % assurance and with many days in advance.

Best regards.

Meteorology is developed lately as compared to other branches of science due to far away from the reach of humans.

Meteorology is a late developer compared to other branches of science because the measuring the climatic conditions in the atmosphere is difficult and even impossible without the presence of advance technologies.

To find out the weather as well as climatic conditions can't be measured due to it is not reachable to the human like other materials present on the earth surface so we can conclude that meteorology is developed lately as compared to other branches of science due to far away from the reach of humans.

Learn more: https://brainly.com/question/16565664

How do you draw the following structural formulas: 2,4-dimethylhexane; 4-methyl-2-pentene; 4-chloro-7-methyl-2-nonyne

Answers

Answer:

The answer to your question is given below

Explanation:

1. 2,4-dimethylhexane can be drawn as follow:

a. The parent name: Hexane i.e it contains 6 carbon atom.

b. The substitute group attached: Methyl i.e CH3 and it is at carbon 2 and 4.

c. Draw 6 carbon atom in a straight line and put CH3 at carbon 2 and 4. As shown in attach photo.

2. 4-methyl-2-pentene can be drawn as follow:

a. The parent name: pentene i.e it contains 5 carbon atom and the double bond is at carbon 2.

b. The substitute group attached: Methyl i.e CH3 and it is at carbon 4.

c. Draw 5 carbon atom in a straight line and put a double bond at carbon 2 and CH3 at carbon 4 as shown in attach photo.

3. 4-chloro-7-methyl-2-nonyne can be drawn as follow:

a. The parent name: nonyne i.e it contains 9 carbon atom and the triple bond is at carbon 2.

b. The substitute group attached:

i. Chlorine (Chloro) i.e Cl and it is at carbon 4.

ii. Methyl i.e CH3 and it is at carbon 7.

c. Draw 9 carbon atom in a straight line and put a triple bond at carbon 2, Cl at carbon 4 and CH3 at carbon and 7 as shown in attach photo.

Base your answers on the graph below, which represents uniform cooling of a sample of a pure substance, starting as a gas. Solid and liquid phases can exist in equilibrium between points

Answers

Answer:

D & E

Explanation:

I think this is dealing with latent heat and D & E would be the range where you will find solid and liquid phases in equilibrium, cuz it starts as gas at from A to B, B to C is gas and liquid equilibrium, C to D is liquid, D to E solid and liquid, and then E to F is solid.

how many moles are in 15 grams of lithium?

Answers

Answer:

there are approximately 52 moles in 15 grams of lithium.

What is the [H30+] in a solution with (OH) = 1.0 x 10-12 M?

Answers

Answer:

Concentration of hydronium ion, H3O+ is 1x10^-2 M

Explanation:

The following data were obtained from the question:

Concentration of Hydroxide ion, [OH-] = 1.0x10^-12 M

Concentration of hydronium ion, [H3O+] =?

Next, we shall determine the pOH of the solution. This is illustrated below below:

pOH = - Log [OH-]

pOH = - Log 1.0x10^-12

pOH = 12

Next, we shall determine the pH of the solution.

pH + pOH = 14

pOH = 12

pH + 12 = 14

Collect like terms

pH = 14 - 12

pH = 2

Finally, we shall determine the Concentration of hydronium ion, [H3O+] as follow:

pH = - log [H3O+]

pH = 2

2 = - log [H3O+]

- 2 = log [H3O+]

[H3O+] = Antilog (-2)

[H3O+] = 0.01M = 1x10^-2 M

.The Lithosphere is another name used for one of the earth systems. Name this system!

Answers

Answer:

Earth's crust

Explanation:

The lithosphere is the rigid outer part of the earth, consisting of the crust and upper mantle. It is the, rigid, rocky outer layer of the Earth, consisting of the crust and the solid outermost layer of the upper mantle. It extends to a depth of about 60 miles (100 km). It is the outer part of the solid earth composed of rock essentially like that exposed at the surface, consisting of the crust and outermost layer of the mantle.

We can also look at it as the solid part of the earth on which plants grow and animals survive. It contains all the rock formations that bear the various minerals found on earth.

The lithosphere is composed of both the crust and the portion of the upper mantle that behaves as a brittle, rigid solid.

A certain half-reaction has a standard reduction potential E0red = +0.13V . An engineer proposes using this half-reaction at the anode of a galvanic cell that must provide at least 1.10V of electrical power. The cell will operate under standard conditions. Note for advanced students: assume the engineer requires this half-reaction to happen at the anode of the cell.

Required:
a. Is there a minimum standard reduction potential that the half-reaction used at the cathode of this cell can have?
b. Is there a maximum standard reduction potential that the half-reaction used at the cathode of this cell can have?

Answers

Answer:

a. 1.23 V

b. No maximum

Explanation:

Required:

a. Is there a minimum standard reduction potential that the half-reaction used at the cathode of this cell can have?

b. Is there a maximum standard reduction potential that the half-reaction used at the cathode of this cell can have?

The standard cell potential (E°cell) is the difference between the standard reduction potential of the cathode and the standard reduction potential of the anode.

E°cell = E°red, cat - E°red, an

If E°cell must be at least 1.10 V (E°cell > 1.10 V),

E°red, cat - E°red, an > 1.10 V

E°red, cat - 0.13V > 1.10 V

E°red, cat > 1.23 V

The minimum standard reduction potential is 1.23 V while there is no maximum standard reduction potential.

1-bromo-3-isobutil-4-heptanol

Answers

Answer:

See explanation.

Explanation:

Hello,

In this case, the chemical structure of the given compound, which is an alcohol, based on the suffix "ol", the bromo radical at the first carbon and the isobutyl radical at the 3rd carbon is shown on the attached picture wherein the hydroxyl is drawn at the 4th carbon. Remember that IUPAC rules for nomenclature help us to easily name or draw organic molecules by indicating the radicals and their positions and the main chain at the en of the name.

Best regards.

The diagrammatic structure for the compound 1-Bromo-3-isobutyl-4-heptanol  can be seen in the image below.

When naming an organic compound, we will first consider the longest chain of the carbon atom and attach the substituents in such a way that we will have the lowest number when adding them.

In the compound 1-Bromo-3-isobutyl-4-heptanol, we first draw the seven carbon chain with -OH substituent on the fourth carbon. This was followed by adding the substituent of isobutyl to carbon atom 3 and bromine to carbon atom 1.

Learn more about naming organic compounds here:

https://brainly.com/question/5994723?referrer=searchResults

If electrons are collectively compressed into a very small volume (e.g., within the core of a dying white dwarf star) where quantum mechanical considerations become important in preventing one electron from occupying space near to a second electron (Pauli exclusion principle), what is the result?

Answers

Answer:  A degenerate pressure will generate a large force to repel further  compression.

Explanation: In the production of new stars from the core of old dying white dwarf stars, the inner parts of the star will experience contraction with the release of  heat , as they contract, their atoms will be  squeezed such that their electrons start to overlap, and because of the Pauli's exclusive principle which states that no two electrons can occupy same space, the electrons will begin to repel each other and an opposing pressure called degenerate pressure will create a force so that the electrons  cannot continually be crushed or overlap. With the limit of contraction, the outer parts of the star will expand and be repelled releasing the old stars called nebula  and creating space for the inner new stars to form.

Use the following terms to fill in the blanks:
a. Molality,
b. Mole Fraction,
c. Molarity, Percent by Mass,
d .Unsaturated, Concentration
1. In chemistry, the most commonly used unit of concentration is_________ .
2. The amount of solute (in any measurement unit) divided by the amount of solvent or solution (in any measurement unit) is defined by the basic term of________________ .
3. Dividing the mass of solute by the total mass of solvent and solute will give you the _____________.
4. A method of describing concentration which shows the comparison of moles of solute to moles_____________.

Answers

Answer:

1. Molality.

2. Concentration.

3. Percent by mass.

4.  Mole fraction.

Explanation:

Molarity is the measurement by which the number of moles is measured by a solute. The solution here is one liter respectively.

Concentration is the product which is emerged when the amount of the solute is divided by the amount o the solvent or solution.

Mole fraction refers to the number of component moles divided by the number of the solution moles.

The student is now told that the four solids, in no particular order, are magnesium bromide (MgBr2), sugar (C6H12O6), acetic acid (CH3COOH), and potassium bromide (KBr). Assuming that conductivity is correlated to the number of ions in solution, rank the four substances based on how well a 0.20 M solution in water will conduct electricity. Rank from most conductive to least conductive. To rank items as equivalent, overlap them.

Answers

Answer:

Order is MgBr₂ > KBr > (CH₃COOH) > (C₆H₁₂O₆)

Explanation:

Find the given attachment

A tetrahedral site in a close-packed lattice is formed by four spheres at the corners of a regular tetrahedron. This is equivalent to placing the spheres at alternate corners of a cube. In such a close-packed arrangement the spheres are in contact and if the spheres have a radius r, the diagonal of the face of the cube is 2r. The tetrahedral hole is inside the middle of the cube. Find the length of the body diagonal of this cube and then find the radius of the tetrahedral hole.

Answers

Answer:

Now length of body diagonal of this cube = √3×√2×r =2.45r

Explanation:

a) length of body diagonal of this cube = √3×√2×r = 2.45 r

it can solved as following

length of body diagonal = √3a   (where a is edge length of cube)

length of face diagonal = √2a

But length of face diagonal = 2r

Therefore a = 2r /√2  = √2×r

Now length of body diagonal of this cube = √3×√2×r

what is the difference between hydrolysis reaction and neutralization reaction.​

Answers

Answer:

Hydrolysis= Addition of a water to a molecule to produce two molecules

Neutralization= Reaction between and acid and a base to produce a salt and water.

Explanation:

These are two common reactions but they are very different. Lets see a few examples:

In a hydrolysis we add a water molecule to produce several substances (see figure 1).

In this reaction water ([tex]H_2O[/tex]) is added in order to "break" the molecule and produce several subtances.

When we have a neutralization reaction, an acid (a subtance that can produce hydronium ions [tex]H^+[/tex]) reacts with a base (a subtance that can produce hydronium ions [tex]OH^-[/tex]) to produce water an a salt:

[tex]HCl~+~NaOH->~NaCl~+~H_2O[/tex]

In this reaction we an acid ( [tex]HCl[/tex]) and a base ([tex]NaOH[/tex]) and this reaction give a salt ([tex]NaCl[/tex]) and water ([tex]H_2O[/tex]).

I hope it helps!

The Pecos Pueblo developed as a trading center over time. What evidence in the text supports the idea that this took a long time?

Because of its value as trading center, the Pecos Pueblo grew in size."

One of the last places the trail passed through was the Pecos Pueblo.

The site was just right for the trade.

Today, the trail attracts tourist instead of traiders.

Answers

Answer:

hi idk the answer

Explanation:

Kayla wants to be an active listener. What can she do?
A. She can tell people what she knows about their backgrounds.

B. She can ask people about their backgrounds .

C. She can say she already knows everything about different backgrounds.

D.She can write songs about people's backgrounds .

Answers

B. she can ask people about their backgrounds

This requires listening, the rest do not

Answer:

B. She can ask people about their backgrounds .

Explanation:

A, C, and D, aren't good answers.

(A. She can tell people what she knows about their backgrounds.) Telling is far different from listening.

(C. She can say she already knows everything about different backgrounds.) Saying you know everything about a background wouldn't be a good answer.

(D. She can write songs about people's backgrounds.) This could be an answer but I believe that B. is the answer.

Hope this helped :)

Calculate the pH of 0.65 M H2SO4 (sulfuric acid) solution? (Ka2: 1.1x10-2)

Answers

Answer:

Explanation:

.65 M H₂SO₄

     H₂SO₄ ⇄ 2H⁺ + SO₄⁻²

  C(1-x)             2xC         xC

(2xC)². xC /C( 1- x )  = 1.1 x 10⁻²

4 x³C² =  1.1 x 10⁻²

4 . x³ .65² = 1.1 x 10⁻²

x³ =   .0065 = 6.5 x 10⁻³

x =      1.867 x 10⁻¹

H⁺ ion concentration =

2xC = 2 x 1.867 x 10⁻¹ x .65

=  .2427

pH = - log ( .2427 )

= 0 .615 .    

can you pls tell me the net ironic equation of H₂²⁺(aq) + O₂²⁻(aq) + Mg²⁺(aq) + SO₃²⁻(aq) → Mg²⁺(aq)+SO²⁻₄(aq) + H₂O(l)
please its urgent

Answers

Answer:

H₂²⁺(aq) + O₂²⁻(aq) + SO₃²⁻(aq) → SO²⁻₄(aq) + H₂O(l)

Explanation:

H₂²⁺(aq) + O₂²⁻(aq) + Mg²⁺(aq) + SO₃²⁻(aq) → Mg²⁺(aq) + SO²⁻₄(aq) + H₂O(l)

A careful observation of the equation above, shows that the equation is already balanced.

To obtain the net ionic equation, we simply cancel Mg²⁺ from both side of the equation as shown below:

H₂²⁺(aq) + O₂²⁻(aq) + SO₃²⁻(aq) → SO²⁻₄(aq) + H₂O(l)

How many liters of air are in a room that measures 10.0 ft × 11.0 ft and has an 8.00 ft ceiling? 1 in. = 2.54 cm (exactly); 1 L = 103 cm3

Answers

Answer:

2.42x10^5 L

Explanation:

10.0ft x 11.0 ft x 8.00 ft = 880. ft^3 (1 cubic foot = 28316.8 cubic cm)

880. ft^3 * (28316.8 cubic cm/ 1 cubic foot) = 24,918,784 cm^3

(1L=103 cm^3)

24,918,784 cm^3 (1L/103 cm^3) = 2.42x10^5 L

[tex]2.42*10^5[/tex]  liters of air are in a room.

Unit conversions:  

It helps to show another person the exact amount you have. Assist in solving a mathematical problem, especially in chemistry, where you can follow the units to get to the answer. Show which measurement system the person is using.

1 in. = 2.54 cm

1 L = 10³ cm³

Given: 10.0 ft × 11.0 ft 8.00 ft ceiling

Now, converting into given quantities:

[tex]10.0ft * 11.0 ft * 8.00 ft = 880. ft^3 ( = 28316.8 \text{ cubic cm})\\\\880. ft^3 * (\frac{28316.8 \text{ cubic cm}} {\text{1 cubic foot}} }) = 24,918,784 cm^3\\\\24,918,784 cm^3 (\frac{1L}{10^3 cm^3})= 2.42*10^5 L[/tex]

→  Thus,[tex]2.42*10^5[/tex] liters of air are in a room that measures 10.0 ft × 11.0 ft and has an 8.00 ft ceiling.

Find more information about Unit conversion here: brainly.com/question/13016491

1. _ LiBr2 + __K2CO3 -->___ LiCO3 +_ KBr
Reaction Type:

Answers

Answer:

Double displacement chemical reaction.

Explanation:

Hello,

In this case, for the given reaction we firstly balance it:

[tex]LiBr_2 +K_2CO3 \rightarrow LiCO3 +2KBr[/tex]

Then, since the lithium and potassium cations are being exchanged to each other from bromide and carbonate, we are talking about a double displacement chemical reaction.

Best regards.

In equal-arm balances from the early twentieth century, it is sometimes observed that an aluminum sheet hangs from one of the arms and passes between the poles of a magnet. This causes the oscillations of the equal-arm balance to decay rapidly. In the absence of such magnetic braking, the oscillation might continue for a very long time, so that the experimenter would have to wait to take a reading. The oscillations decay because which of the following reasons? A. Aluminum is paramagnetic. B. Currents in the aluminum sheet set up a magnetic field that opposes the oscillations. C. The aluminum sheet is attracted to the magnet.

Answers

Answer:

Currents in the aluminum sheet set up a magnetic field that opposes the oscillations

Explanation:

It has been stated in the question that the aluminum sheet hangs from one of the arms and passes between the poles of the magnet and causes the magnetic field to decay rapidly. In the absence of this magnetic breaking, the oscillation may continue for a long time.

As the aluminum hangs from one of the sheets and passes between the poles of the magnet, the magnetic flux linked to the sheet changes and emf is induced in the sheet according to Lenz law. As a result of this induced emf, eddy currents are developed on the plate. The Eddy currents opposes the magnetic force on the aluminum sheets. This opposes the oscillation of the aluminum sheet and causes it to come to rest.


50 Points
Atoms contain subatomic particles called protons and neutrons. When these protons and neutrons split, a lot of energy is released.

What kind of energy is this?

nuclear
radiant
thermal
chemical

Answers

Answer:

nuclear

Explanation:

This is because when the protons and neutrons split the energy being released is heat, also known as nuclear fission.

Answer:

The answer is Nuclear

A burner on a stove produces?

Answers

Answer:

thermal energy

Explanation:

Answer:

B- Thermal Energy

Explanation:

Thermal energy is produced due to all of the movement of particles inside the material.

Which of the following elements has the lowest ionization energy?

Na

C

F

He

Rb

Answers

Answer:

Rb

Explanation:

Ionization energy is defined required energy to eliminate or remove an electron from an ion or atom.

From the given elements Rb or Rubidium has the lowest ionization energy as it has lowest shielding effect, so it easy to remove electron from it's shell.

The ionization energy generally decreases from top to bottom in groups due to lower shielding effect and outer electrons are loosely packed so easy to remove and increases from left to right across a period because of valence shell stability.

Rubidium has atomic number 37 and lies below than other given elements and also placed in the left side in the periodic table.

Hence, the correct option is Rb

Which of these is the smallest?
atom
molecule
proton
an ant

Answers

Answer

proton

Explanation:

How many moles would needed to be dissolved in 1 dm3 to get a 3M solution? How many would be needed if only 0.1 dm3 were used?

Answers

Answer:

I sent u on insta

Explanation:

Found it

What diseases are spread in warm temperatures?

Answers

Answer:

malaria, st louis encephalitis, lyme disease, influenza, cyptosporidium, cholera.

Malaria and viral diseases such as dengue, yellow fever, and the Zika virus.

2. A flask and stopper have a mass of 110.525 g. A 50.0-mL sample of gasoline is transferred to the flask, and the flask, stopper, and liquid have a mass of 145.028 g. Find the density of gasoline in g/mL. Show work and report density with the appropriate number of significant figures.

Answers

Answer:

  0.690 g/mL

Explanation:

Density is the ratio of mass to volume:

  gasoline mass = (flask+gas mass) - (flask mass) = 145.028 g -110.525 g

  gasoline mass = 34.503 g

Density = (gas mass)/(gas volume) = (34.503 g)/(50.0 mL)

Density = 0.690 g/mL

_____

The least-precise number in this calculation is the sample volume, which has 3 significant figures. Thus, the answer is good only to 3 significant figures.

Consider the following information.

A+ KOH → B+ 2 KNO3What is the molecular formula of A, what is the molecular formula for B? You have to balance the A + KOH part of the equation. MM of B = 62.068g/mol

B is 38.67 % C, 9.67% H and 51.56 % O

Answers

Answer:

The molecular formula for A is C2H4(NO3)2

The molecular formula for B is C2H6O2

Explanation:

I linked an image that will show the work.

Question 2
In the reaction:
P4+6C12 - 4PC13
How many grams of P4 are required for the complete reaction of 2.40 moles of CIZ?
0 0.1168
12.4g
298 g
1988
49.6 g

Answers

I think the answer should be 12.4g but idk why u don’t have abcd

Two cylinders are made of the same material. Cylinder A is one-fourth (1/4) the length of cylinder B and it has a radius that is four times greater than the radius of cylinder B. What is the ratio of the mass of cylinder A to the mass of cylinder B?

Answers

Answer:

[tex]M_{A}[/tex] : [tex]M_{B}[/tex]  = 4 : 1

Explanation:

Given that:

Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

For cylinder A, [tex]l_{A}[/tex] = [tex]h_{A}[/tex] = [tex]\frac{1}{4} l_{B}[/tex] and [tex]r_{A}[/tex] = 4[tex]r_{B}[/tex].

Volume of cylinder A = [tex]\pi[/tex][tex](4r_{B}) ^{2}[/tex] × [tex]\frac{1}{4} l_{B}[/tex]

                                   = 4[tex]\pi[/tex][tex]r_{B} ^{2}[/tex] [tex]l_{B}[/tex]

Volume of cylinder B =  [tex]\pi[/tex][tex](r_{B}) ^{2}[/tex] [tex]l_{B}[/tex]

                                  =  [tex]\pi[/tex][tex]r_{B} ^{2}[/tex][tex]l_{B}[/tex]

To determine the ratio of their masses, density (ρ) is defined as the ratio of the mass (M) of a substance to its volume (V).

i.e    ρ = [tex]\frac{M}{V}[/tex]

Thus, since the cylinders are made from the same material, they have the same density  (ρ). So that;

density of A = density of B

density of A = [tex]\frac{M_{A} }{4\pi r_{B} ^{2}l_{B} }[/tex]

density of B = [tex]\frac{M_{B} }{\pi r_{B} ^{2}l_{B} }[/tex]

⇒            [tex]\frac{M_{A} }{4\pi r_{B} ^{2}l_{B} }[/tex]  =  [tex]\frac{M_{B} }{\pi r_{B} ^{2}l_{B} }[/tex]

The ratio of mass of cylinder A to that of B is given as;

                       [tex]\frac{M_{A} }{M_{B} }[/tex]  =  [tex]\frac{4\pi r_{B} ^{2} l_{B} }{\pi r_{B} ^{2} l_{B} }[/tex]

⇒                        [tex]\frac{M_{A} }{M_{B} }[/tex] = [tex]\frac{4}{1}[/tex]

Therefore, [tex]M_{A}[/tex] : [tex]M_{B}[/tex]  = 4 : 1

Answer:

4.

Explanation:

Hello,

In this case, since we are talking about the same material, their densities are the same:

[tex]\rho _A=\rho _B[/tex]

And each density is defined by:

[tex]\rho _A=\frac{m_A}{V_A} \\\\\rho _B=\frac{m_B}{V_B}[/tex]

Thus, we also define the volume of a cylinder:

[tex]V_{cylinder}=\pi r^2h[/tex]

Therefore, we obtain:

[tex]\rho _A=\frac{m_A}{\pi r_A^2h_A}[/tex]

[tex]\rho _B=\frac{m_B}{ \pi r_B^2h_B}[/tex]

Now, the given information regarding the the length and the radius is written mathematically:

[tex]h_A=\frac{1}{4} h_B\\\\r_A=4 r_B[/tex]

So we introduce such additional equations in:

[tex]\frac{m_A}{\pi r_A^2h_A}=\frac{m_B}{\pi r_B^2h_B}\\\\\frac{m_A}{\pi (4r_B)^2(\frac{1}{4}h_B)}=\frac{m_B}{\pi r_B^2h_B}\\\\\frac{m_A}{m_B} =\frac{\pi (4r_B)^2(\frac{1}{4}h_B)}{\pi r_B^2h_B}[/tex]

So we simplify for the radius and lengths:

[tex]\frac{m_A}{m_B} =\frac{\pi (4r_B)^2(\frac{1}{4}h_B)}{\pi r_B^2h_B}\\\\\frac{m_A}{m_B} =16 *\frac{1}{4}\\ \\\frac{m_A}{m_B} =4[/tex]

So the ratio of the mass of cylinder A to the mass of cylinder B is 4.

Best regards.

Other Questions
Which expression finds the measure of an angle that is coterminal with a 126 angle? Was the US successful in containing communism in Vietnam? What did Deng Xiaoping do to Mao's former agricultural communes? Explain It takes 63 W to power a ceiling fan. The energy output of the fan is 50 W. Calculate the efficiency of the fan. Round your answer to the nearest percentage. % not good with angles PLEASE HELP due very soon f(x) = 4^x-1; find f(3) which factor drives surface ocean currents in what way are carbohydrates and proteins similar? Each interior angle of a regular polygon is 140.Find the number of sides of the polygon. Jakob was asked to write an equation and solve this problem. Max saved enough money to buy three tickets to a baseball game. If each ticket costs $18.75, how much money did Max save? Jakobs work is shown below. You stop measuring lines of latitude, whichresemble a ladder, at the North orA. EquatorB. South PoleC. Prime MeridianD. International Date Line Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below. In January she used 3/5 of the amount of oil that she used in February Fill in the amount of oil that Jackie used in January in the table below Which expression is equivalent to 2 2 2? Estimate the product :23. 8 349 How might a filmed version of a play be a different experience for a viewer than a staged version of the same play?A)The filmed version will be less well-received by critics than the staged version.B)The filmed version will featured music, while the stage version won't feature music.C)The filmed version might feature outdoor scenes, while the staged version will likely only take place on a stage set.D)The filmed version will probably feature well-known movie stars, while the staged version will feature lesser-known actors.HELP- pleaseeeee- is crying the warring states era in china coincided with what period in european history In one sentence how would you describe Phillip II personality The Emancipation Proclamation had many positive outcomes for the Union. By asserting the ___ stance of the Union, the proclamation helped win approval and support from abolitionist whites and the black community for ___ . Additionally, by ___ , it dashed Confederate plans to get support from Europe. It also caused the Union army to become stronger and reduced the Southern labor forceBlank 11 anti war 2 anti slavery3 anti secession Blank 21 Stonewall Jackson 2 Abraham Lincoln 3 Robert LeeBlank 31 freeing plantation laborers2 making abolition a war goal3 disrupting cotton cultivation 4 excluding loyal states a light bulb manufacturer finds that 4% of the bulbs it makes are defective. The quality control officer predicts that 700 bulbs will be defective out of 15,500 bulbs made. Do you agree? Explain. A sled plus passenger with total mass m = 53.1 kg is pulled a distance d = 25.3 m across a horizontal, snow-packed surface for which the coefficient of kinetic friction with the sled is k = 0.155. The pulling force is constant and makes an angle of = 28.3 degrees above horizontal. The sled moves at constant velocity.Required:a. Write an expression for the work done by the pulling force in terms of m, g (acceleration due to gravity), , k, and d.b. What is the work done by the pulling force, in joules?c. Write an expression for the work done on the sled by friction in terms of m, g (acceleration due to gravity), , k, and d.d. What is the work done on the sled by friction, in joules?