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Student A uses 3N of force to move a cart 5 meters in 10 seconds. Student B uses 6N of force to move the same cart the same distance in 5 seconds. Which student did more work? Which student used more power? Use evidence and explain your answersss

Work = force x distance

Power = work/time

Answers

Answer 1

Work is said to be done if the force applied to a body causes the body to move through a distance.

Student B used more work and power

Workdone = Force * Distance

For student A:

Force = 3N

distance = 5meters

Time taken = 10 secs

Workdone by Student A = 3 * 5

Workdone by student A = 15Nm

Power used up = workdone/time

Power used up = 15/10

Power used up = 1.5 Watts

For student B:

Force = 6N

distance = 5meters

Time taken = 5 secs

Workdone by Student A = 6 * 5

Workdone by student A = 30Nm

Power used up = workdone/time

Power used up = 30/5

Power used up = 6 Watts

This shows that student B used more work and power

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Related Questions

Using the Kf value of 1.2×109 calculate the concentration of Ni2+(aq) and Ni(NH3)62+ that are present at equilibrium after dissolving 1.47 gNiCl2 in 100.0 mL of NH3(aq) solution such that the equilibrium concentration of NH3 is equal to 0.20 M.
Express your answers in moles per liter to two significant figures separated by a comma.

Answers

This problem is describing the equilibrium whereby the formartion of a complex is attained when 1.47 g of nickel(II) chloride is dissolved in 100.0 mL of ammonia so that the latter's equilibium concentration is 0.20 M. Thus, it is asked to calculate the equilibrium concentrations of both nickel(II) ions and that of the complex.

Firstly, we can write out the chemical equation to be considered:

[tex]Ni^{2+}+6NH_3\rightleftharpoons Ni(NH_3)_6^{2+}[/tex]

Next, we can calculate the initial concentration of nickel(II) ions by using the concept of molarity:

[tex][Ni^{2+}]=\frac{1.47gNiCl_2*\frac{1molNiCl_2}{129.6g}*\frac{1molNi^{2+}}{1molNiCl_2} }{0.1000L}=0.113M[/tex]

Afterwards, we set up an equilibrium expression for this chemical reaction:

[tex]Kf=\frac{[Ni(NH_3)_6^{2+}]}{[Ni^{2+}][NH_3]^6}[/tex]

Which can be written in terms of the reaction extent, [tex]x[/tex]:

[tex]Kf=\frac{x}{(0.113-x)(0.2)^6}[/tex]

Now, for the calculation of [tex]x[/tex], we plug in Kf, and solve for it:

[tex]1.2x10^9=\frac{x}{(0.113-x)(0.2)^6}\\\\1.2x10^9=\frac{x}{(0.113-x)(6.4x10^{-5})}\\\\7.68x10^4(0.113-x)=x\\\\x=0.112999 M[/tex]

Which is about the same to the initial concentration of nickel(II) ions because the Kf is too large.

Thus, the required concentrations at equilibrium are about:

[tex][Ni(NH_3)_6^{2+}]=0.113M[/tex]

[tex][Ni^{2+}]=0M[/tex]

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what did mosa figure out? how did mosas mesurement prove that the ball was moving to gravity

Answers

by bouncing it

Explanation:

when you bouce a ball it hits the ground because gravity pulls it down

*1. The internal energy with a system associated with the motion of particles and that can be added to a substance is called_____.


A. Thermal energy


B. Electrostatic forces


C. Temperature


D. Kinetic energy










*2. Which statement describes the effect of adding more energy to a system, assuming a phase change does not occur?


A. The particles within the system will have greater motion, and the temperature will decrease.


B. The particles within the system will have greater motion, and the temperature will increase.


C. The particles within the system will have less motion, and the temperature will increase.


D. The particles within the system will have less motion, and the temperature will decrease.










*3. Which statement correctly describes how attractions that hold particles break?


A. Attractions due to electrostatic forces. When particles have low enough energy, these forces can no longer keep particles together.


B. Attractions due to gravitational forces. When particles have low enough energy, these forces can no longer keep particles together.


C. Attractions due to gravitational forces. When particles move fast enough, these forces can no longer keep particles together.


D. Attractions due to electrostatic forces. When particles move fast enough, these forces can no longer keep particles together.










*4. Which statement explains why a rubber band analogy is not a perfect comparison for bonds in a substance when considering phase changes?


A. For a phase change from liquid to gas, the bonds break completely and particles can move independently of each other.


B. For a phase change from liquid to gas, the bonds do not break completely and the particles can still slide past each other.


C. For a phase change from solid to liquid, the bonds break completely and particles can move independently of each other.


D. For a phase change from solid to liquid, the bonds do not break completely in the particles can still slide past each other.










*5. The boiling point of benzene is 80°C. Which pair of samples will have the same average kinetic energy as benzene molecules?


A. Two samples of liquid benzene, one at 70°C in the other at 80°C.


B. A sample of liquid benzene at 70°C and a sample of gaseous benzene at 90°C.


C. Two samples of gaseous benzene, one at 80°C in the other at 90°C.


D. A sample of liquid benzene at 80°C and a sample of gaseous benzene at 80°C.

Answers

Answer:

1. A/Thermal Energy

2. B/The particles within the system will have greater motion, and the temperature will increase.

3. C/Attractions occur due to electrostatic forces. When particles move fast enough, these forces can no longer keep particles together.

4. D/ For a phase change from solid to liquid, the bonds do not break completely and particles can still slide past each other.

5. D/ a sample of liquid benzene at 80ºC and a sample of gaseous benzene at 80ºC

Explanation:

I took the Test.

1. Internal energy associated with systems and particles is thermal energy. Thus, option A is correct.

The internal energy has been described as the energy that has been assessed by the molecules and bonds at the STP. Thermal energy has been the energy of particular molecules and the system comprising all the molecules have the summation of the thermal energy.

Thus, internal energy associated with systems and particles is thermal energy. Thus, option A is correct.

2. The addition of energy results in greater motion with an increase in temperature has been representation no phase change. Thus, option B is correct.

The addition of energy to the substance results in the increased motion of the particles. The energy higher than the threshold energy has been responsible for the phase change of the substance.

The addition of energy results in greater motion with an increase in temperature has been representation no phase change. Thus, option B is correct.

3. The movement of the particles under the gravitational attraction is not enough to hold the particles together at a longer distance. Thus, option B is correct.

The attraction has been the force that has been responsible for holding the particles in a molecule. Different attractions have a different levels of stability and strength.

The movement of the particles under the gravitational attraction is not enough to hold the particles together at a longer distance. Thus, option B is correct.

4. The phase change of the molecules has been mediated by overcoming the force of attraction that allows the molecules to move freely. The solid to liquid phase change has been mediated with the breaking of the attraction between the bonds allowing free movement.

Thus, statement 4 is incorrect, and option D is correct.

5. The kinetic energy has been the energy possessed by the moving molecules in the medium. The molecules in liquid and gas have been possessing the same energy at the same temperature, Thus, option D is correct.

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what is the free energy change G for the equilibrium between hydrogen iodine a hydrogen and iodine at 4:53

Answers

Answer:

Many chemical reactions are reversible; that is, the products of the reaction can combine to re-form the reactants. An example of a reversible reaction is that of hydrogen with iodine to form hydrogen iodide:

H2(g) + I2(g) 2 HI(g)

We can study this reversible reaction by placing hydrogen and iodine in a reaction vessel and then measuring the concentrations of H2, I2, and HI at various times after the reactants are mixed. Figure 13.8 is a plot of the concentrations of reactants and products of this reaction versus time. The concentration of hydrogen iodide increases very rapidly at first, then more slowly, and finally, after the time indicated by the vertical line marked "Equilibrium," remains constant. Similarly, the concentrations of hydrogen and iodine are large at the start of the reaction but decrease, rapidly at first, and then more slowly. Finally, they, too, become constant.

If this reaction were not reversible, the concentrations of hydrogen and iodine would have continued to decrease and the concentration of hydrogen iodide to increase. This process does not happen. Instead, as soon as any molecules of hydrogen iodide are formed, some decompose into hydrogen and iodine. Two reactions are taking place simultaneously: the formation of hydrogen iodide and its decomposition. When the concentrations of all these components become constant (at the equilibrium point in Figure 13.8), the rate of the forward reaction (H2 + I2 2 HI) must be equal to the rate of the reverse reaction (2 HI H2 + I2). A state of dynamic chemical equilibrium has then been reached, one in which two opposing reactions are proceeding at equal rates, with no net changes in concentration.

PICTURE 13.8

FIGURE 13.8 Concentration changes during the reversible reaction

H2(g) + I2(g) 2 HI as it proceeds toward equilibrium.

We have encountered this criterion for equilibrium before. In the equilibrium between a liquid and its vapor, the rate of vaporization is equal to the rate of condensation. In the equilibrium of a saturated solution with undissolved solute, the rate of dissolution is equal to the rate of precipitation. In the equilibrium of a weak acid with its ions, the rate of dissociation is equal to the rate of recombination. Note that none of these reactions is static: Two opposing changes are occurring at equal rates.

B. The Characteristics of Chemical Equilibrium

1. Equal rates

At equilibrium, the rate of the forward reaction is equal to the rate of the reverse reaction.

2. Constant concentrations

At equilibrium, the concentrations of the substances participating in the equilibrium are constant. Although individual reactant molecules may be reacting to form product molecules and individual product molecules may be reacting to re-form the reactants, the concentrations of the reactants and the products remain constant.

3. No free energy change

At equilibrium, the free energy change is zero. Neither the forward nor the reverse reaction is spontaneous and neither is favored. Consider the ice-water change. Above 0°C, ice melts spontaneously to form liquid water; G for this change is negative. Below 0°C, the change from ice to water is not spontaneous; G is positive. At 0°C, the two states are in equilibrium. The rate of melting is equal to the rate of freezing: the amount of ice and water and the amount of liquid water present remain constant, and the free energy change is zero as long as no energy is added to or subtracted from the mixture.

C. The Equilibrium Constant

In Chapter 12, we introduced the mathematical relationship between the concentrations of the components of an equilibrium, known as the equilibrium constant, Keq. We said that, for the general equation of a reversible reaction

Explanation:

sorry(: hope to help

A mixture of solids containing a ketone, a carboxylic acid, and an amine, are dissolved in DCM. What is the best way to begin an extraction to separate the amine from the mixture

Answers

There are different ways of extraction. The best way to begin an extraction to separate the amine from the mixture is to extract with dilute NaOH.

An acid-base extraction is often used in the extraction of carboxylic acids from the organic layer and thereafter into the aqueous layer.

NaOH is known to be the most common compound that is used to convert a carboxylic acid into its more water-soluble ionic carboxylate form.

But if  the mixture has a compound that you want, and that can react with NaOH, another milder base such as sodium bicarbonate is preferably used.

See full question below

A mixture of solids containing a ketone, a carboxylic acid, and an amine, are dissolved in DCM. What is the best way to begin an extraction in order to separate the carboxylic acid from the mixture?

A) Extract with dilute NaOH

B) Extract with dilute HCl

C) Extract with dichloromethane

D) Extract with water

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BaCO3 Draw the Lewis dot structure for BaCO3. Include all nonbonding electrons. Show the formal charges of all atoms. To change the symbol of an atom, double-click on the atom and enter the letter of the new atom

Answers

To draw the Lewis dot structure on the [tex]B_aCO_3[/tex] molecular it is necessary to show the electron sharing between the [tex]CO_3[/tex] molecules, and then show the ionic bond between [tex]B_a[/tex] and [tex]CO_3[/tex].

You can see how this is done in the attached image.

We can arrive at this answer because:

The Lewis dot structure is made to show the sharing or transmission of electrons between atoms.In the [tex]B_aCO_3[/tex] molecule, we have both sharing and transmission of electrons, which occurs for atoms to search for stability in their valence layers.The compound [tex]CO_3[/tex] has covalent bonds, where the electrons share the electrons so that each one is electronically stable.However, the [tex]B_a[/tex] atom needs to transmit two electrons to another molecule to achieve stability, so when it forms a bond with [tex]CO_3[/tex], it transmits two electrons to that compound.This causes [tex]CO_3[/tex] to be negatively charged, while [tex]B_a[/tex] is positively charged.

Therefore, we can say that [tex]B_a[/tex] forms an ionic bond with [tex]CO_3[/tex].

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plz help me I will mark as brainlest

All three metals react with cold water.
Complete the word equation for these reactions.
metal + water ➡️ _______ + ________​

Answers

Answer:

metal oxide +hydrogen gas

In this photograph, a soccer player is about to kick the ball. Use the situation to explain that when two objects interact, the force between them can cause energy to be transferred. In your response, identify the type of energy that each object has before they interact, the forces exerted when the objects interact, and the type of energy that each object has after they interact.

Answers

The explanation to the question is stated as follows:

Newton's first law of motion states that: a body will continue in its state of rest or uniform motion unless an external force acts on it. So then, the ball initially possesses potential energy because it was at rest. While the leg of the soccer player possesses kinetic energy because its in motion.

Thus, when the player hits the ball, a force known as push has been applied. This would ensure that the ball compels and moves in the direction of the applied force. Therefore after the interaction, the leg of the player now possesses potential energy, since it would come to rest after hitting the ball. While the ball would start moving, now possessing kinetic energy.

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Which of the following is true about the actinide series?

Answers

Answer:

All of the elements are radioactive and contain the transuranium elements.

Explanation:

N/A

1 ton of methanol are accidentally discharged into a lake. By how much is the biological oxygen demand of this water increased

Answers

The biological Oxygen demand of the lake is increased by 1.5 ton.

Discussion:

The reaction of methanol with Oxygen is as follows;

2CH3OH + 3O2 ==> 2CO2 + 4H2O.

In the reaction above; Since Methanol, CH3OH and Oxygen, O2 have the same molar mass; 32.

Therefore we can say since;

2 moles of CH3OH requires 3 moles of O2.

Therefore, 1 ton of methanol will require 1.5 ton of oxygen.

The biological Oxygen demand of the water is therefore increased by 1.5 ton as this is the amount of Oxygen consumed by the ethanol.

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what is the mass number of an atom with 3 protons,4 nuetrons, and 3 electrons

Answers

Answer:

Neon 10,  mass: 20.18

Explanation:

What characteristics do dishwashing liquid, alcohol, vinegar, baking soda, and alcohol have in common?

Answers

Answer:

First, both ingredients are excellent at dissolving tough grime. However, vinegar alone will simply run off of most surfaces, while dish soap is too thick to use as a spray. But when you mix them together, you get an effective, sprayable cleaner that sticks to any surface!

What mass of aluminium chloride can be obtained when 0.48mols of aluminium is completely reacted with dilute hydrochloric acid?
Equation for this reaction:
2Al + 6HCl 2AlCl3 + 3H2​

Answers

Answer:

Explanation:

we will do ratio method

Aluminum chloride :  Aluminum

2                               :      2

0.48                          :      x

(cross multiply)

0.48 x 2 / 2 = 0.48 moles of aluminum  

mass = 1 mole of aluminum chloride x moles

mass = 133.33 x 0.48

mass = 63.9984g (round off) = 64g

I hope this helps.

as the solar nebula cooled which compounds were the first to condense from a gas to a solid? Rock water ice or metal

Answers

As the solar nebula cooled METAL compounds are the first to condense from a gas to a solid. The solar nebula gave birth to the Solar system.

A solar nebula is a disc-shaped cloud of gases and grain dust, which gave birth to the Sun and planets of the Solar system, approximately 4.6 billion years ago.

The solar nebula is at the beginning a mixture of interstellar gases (hydrogen and helium) and dust grains.

As the solar nebula cools, heavy elements such as metals in the disk condensate into planetesimals.

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the bleaching action of sulphur (iv) oxide is by​

Answers

Answer:

The bleaching action of sulphur di oxide is temporary because it involves the process of reduction. sulphur di oxide removes oxygen from the coloured substance and makes it colourless. Atmospheric oxygen slowly takes place of the removed oxygen and because of which the material regains the co

3.833 kJ of heat is required to convert a 36.8 g sample of ethyl
alcohol from the solid to liquid phase. What is the heat of
fusion of ethyl alcohol in J/g?

Answers

The heat of fusion of the given sample of the ethyl alcohol is 104.16 J/g.

The given parameters:

heat required to convert 36.8 g sample of ethyl alcohol, Q  = 3.3833 kJmass of the  ethyl alcohol, m = 36.8 g

The heat of fusion of the given sample of the ethyl alcohol converted from solid to liquid phase is calculated as follows;

[tex]H_f = \frac{Q}{m} \\\\H_f = \frac{3.833 \times 10^3\ J}{36.8 \ g} \\\\H_f = 104.16 \ J/g[/tex]

Thus, the heat of fusion of the given sample of the ethyl alcohol is 104.16 J/g.

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what is the best way to make a supersaturated solution?
A: Heat the solution
B: Stir the Solution
C: Evaporate the solution
D: Cool the solution

Answers

Answer:

heat the solution

Explanation:

i think

Answer:

The way to make a supersaturated solution is to add heat, but just a little heat won't do the job. You have to heat the water close to the boiling point. When the water gets this hot, the water molecules have more freedom to move around, and there is more space for solute molecules between them.

Grace wanted to find out the best conditions for growing lettuce plants.
She took 4 trays and planted 8 lettuce plants in each.
The results of her investigation are shown below.

How many days did the investigation last?
Use the table to help you.

Answers

Explanation:

the investigation lasts for 7 days.

hope this helps you.

A mixture of 3.25 moles of oxygen gas and 2.75 moles of nitrogen gas exert a total pressure of 22.4 atm. What is the partial pressure of oxygen

Answers

The partial pressure of oxygen is equal to 10.2 atm.

Given the following data:

Number of moles of oxygen = 3.25 moles.Number of moles of nitrogen = 2.75 moles.Total pressure = 22.4 atm.

To determine the partial pressure of oxygen:

First of all, we would find the total number of moles of the elements:

[tex]n=3.25+2.75[/tex]

n = 6 moles

Next, we would determine the mole fraction of the oxygen by using this formula:

[tex]Molefraction \;of \;a \;substance =\frac{No.\; of \; moles \;of \;substance}{Total \;no. \;of \; moles \;of \;substances}[/tex]

Substituting the values, we have:

[tex]Molefraction \;of \;a \;substance =\frac{2.75}{6} \\\\Molefraction \;of \;a \;substance =0.4583[/tex]

For oxygen:

[tex]Partial \;pressure = Molefraction \times Total\;pressure\\\\Partial \;pressure = 0.4583 \times 22.4[/tex]

Partial pressure of oxygen = 10.2 atm.

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Answer:

12.1

Explanation:

3.25 + 2.75= 6 moles total

then take: 3.25/6 to get 0.542

multiply 0.542 by 22.4 to get 12.1

the other answer solved for nitrogen, not oxygen.

Al2(SO3)3
a. Count the number of Sulfur atom
b. How many total atoms are given in the compound
Please helppp

Answers

Answer:

from the words below underline six example of rhetorical patterns

crude oil is a liquid kind of___________

what is the answer?

Answers

What kind of liquid is crude oil?

First, let's get to know what is crude oil.

crude oil is a naturally occuring petroleum product composed of hydrocarbon deposits and other organic materials. A type of fossil fuel, crude oil is refined to produce usable products including gasoline, diesel, and various other forms of petrochemicals.

What kind of liquid is crude oil?

crude oil is a mixture of comparatively volatile liquid hydrocarbons (compounds composed mainly of hydrogen and carbon), though it also contains some nitrogen, sulfur, and oxygen. those elements form a large variety of complex molecular structures, some of which can be readily identified. regardless of variations, however, almost all crude oil ranges from 82 to 87 carbon by weight and 12 to 15 hydrogen by weight.

What are the uses of crude oil?

crude oil has many uses as the following:

plastics. plastics requires crude oil for it's production.clothing materials like T-shirt, and Short pants.products in your home like furnitures, and kitchenware.transportationget high-quality bulk fuels from Kendrick oil.

so now you know the uses and importance of crude oil.

#let's study

analyze why is the result of the stage of meiosis shown below an advantage for organisms that reproduce sexually.

Answers

Answer:

Meiosis produces haploid cells (gametes), which contain single chromosomes, or on-half the number of chromosomes in diploid cells. When a sperm and an egg join, the single chromosomes pair up, which results in genetic diversity in the offspring

Question 1
Which of the following describes the movement of molecules in a solid?
O Molecules are stationary.
O Molecules vibrate in fixed positions.
O Molecules move fast enough to change position.
O Molecules move freely.

Please help ASAP!!!

Answers

Answer:

Molecules vibrate in a fixed position.

Explanation:

first one is just wrong.

third is liquid

fourth is gas

4. A system contracts from an initial volume of 15.0 L to a final volume of 10.0 L under a constant external pressure of 0.800 atm. The value of w, in J, is?

Answers

The value of the work done in joule is 405.3 J.

We know that the work done is obtained using the relation;

w = PΔV

Where;

w = work done

P = pressure

V = volume

Now, substituting values,

w = 0.800( 15.0 -  10.0)

w = 4 atm L

Since;

1 L atm = 101.325 J

4 atm L  = 4 atm L × 101.325 J/1 L atm

= 405.3 J

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What is your opinion of Latino immigrants in your country?

Answers

Answer:

I believe they deserve to be here.

Explanation:

Based on the diagram, describe the atomic structure of phosphorus. Be sure to include in your answer how many electron levels, protons, neutrons, valence electrons, and electrons are present in a neutral phosphorus atom.

Answers

it’s has 5 valance electrons, 15 protons, 17 neutrons, 15 electrons, and 3 electron shells

Magnesium has a density of 1.74 g/cm3. What is the volume of 58.6 g of Mg?

Answers

Answer:

1 kg = 1000 g

58.6=58,600g

Explanation:

Which factor is NOT important in the fossilization process?

Answers

Answer:

Things like the age of the organism, the organism's diet, style of movement (walking or swimming) do not affect how it fossilizes. Answer 2: Fossilization happens when small chunks of rock (such as sand) enter the spaces in a body or plant that would have hosted resin, air, or soft tissue, preserving the body or plant

To what volume would you have to change 6.5 Liters of a gas at 1.25 atm in order to
decrease its pressure to 1.0 atm?

Answers

Answer:

8.13 mL

Explanation:

The required volume can be found by using the formula for Boyle's law

[tex]V_2 = \frac{P_1V_1}{P_2} \\[/tex]

where

P1 is the initial pressure

P2 is the final pressure

V1 is the initial volume

V2 is the final volume

From the question we have

[tex]V_2 = \frac{6.5 \times 1.25}{1} = 6.5 \times 1.25 \\ = 8.125[/tex]

We have the final answer as

8.13 mL

Hope this helps you

A gas has a pressure of 8.5atm and occupies 24L at 25∘C. What volume (in liters) will the gas occupy if the pressure is increased to 13.5atm and the temperature is decreased to 15∘C? Round to the nearest liter.

Answers

The volume (in liters) that the gas will occupy if the pressure is increased to 13.5 atm and the temperature is decreased to 15 °C is 15 L

From the question given above, the following data were obtained:

Initial pressure (P₁) = 8.5 atm

Initial volume (V₁) = 24 L

Initial temperature (T₁) = 25 °C = 25 + 273 = 298 K

Final pressure (P₂) = 13.5 atm

Final temperature (T₂) = 15 °C = 15 + 273 = 288 K

Final volume (V₂) =?

The final volume of the gas can be obtained by using the combined gas equation as illustrated below:

[tex]\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}\\\\\frac{8.5 * 24}{298} = \frac{13.5 * V_{2}}{288}\\\\ \frac{204}{298} = \frac{13.5 * V_{2}}{288}\\\\[/tex]

Cross multiply

298 × 13.5 × V₂ = 204 × 288

4023 × V₂ = 58752

Divide both side by 4023

[tex]V_{2} = \frac{58752}{4023}\\\\[/tex]

V₂ = 15 L

Therefore, the final volume of the gas is 15 L

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What are some similarities and differences between the two? Simplify x+2x 8+3x+1 2x. Which of the following was a contract between the English king and nobles that limited the power of the king? (4 points)Act of Habeas CorpusEnglish Bill of RightsMagna CartaPetition of Rights Write a unit rate for the situation.270 miles in 6 hours What is the meaning of the statement ((30) =76? Write your own sentence including a simile or metaphor to describe the following:a happy old man walking down a streetthe feeling of returning home after a long journeythe feeling of going outside on a very cold daychild returning to school after a long holiday. Pls help on this one. In the sixth paragraph (beginning Tomorrow, he would add), the oxymoron menacing geniality serves to(A) highlight the complexity of the Directors character(B) hint that the Director is not being sincere(C) suggest that the Director does not know his own mind(D) indicate that the Director craves the students admiration(E) show that the Director intends to harm the students in some way TRUE or FALSE: Seafloor spreading and subduction are driven by convection currents in the asthenosphere. Solve the inequality x + 3 < 7. Which number line represents the solution?. Which is equivalent to the expression below 6a-7+2a-4 Which person would benefit most from taking advantage of a low variableinterest rate?A. Emilio needs a loan to support his business and needs hispayments to be as predictable as possible.B. Ellie has just found her dream home and wants to get a mortgagethat will allow her to live there forever.C. Evan needs to borrow money to pay for car repairs, but he will beable to pay off the loan within two to three months.D. Erica needs to borrow money to attend college, but she doesn'thave a good credit history. What can you infer about the position of the galaxies 100 million yearsbefore this telescope photo was taken? How does this relate to the big bangtheory? The initial population of a town is 3500, and it grows with a doubling time of 10 years. What will the population be in 8 years? What are 5 questions you would ask a famous person, and who would it be?(Please write your question in Spanish as it would help me further). If not, your idea(s) still helps! Equation -5+2 = -3 5+(-2) = 3 2+(-5)=-3 -3+5=2 Tyesha found that the z-statistic was 2. 1 and that the critical z-values were -1. 96 and 1. 96. Which of the following is a valid conclusion based on these results? One can reject the null hypothesis. One can reject the alternate hypothesis. One can accept the null hypothesis. One cannot accept or reject the null hypothesis. A woman's baby is HIV positive at birth. She asks the nurse if this means the baby will develop AIDS. Which statement would be the nurse's best answer A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than PLEASE HELP!! Identify and place the stages of mitosis in the chart.