A ball is thrown straight upwards. at the very top of its flight the velocity of the ball is zero. what direction, if any, is the acceleration at this point?

Answers

Answer 1

The acceleration due to gravity is constant even at the top of its flight and its direction will be towards to ground (Downwards).

The horizontal distance of an object in projectile motion relative to its origin is referred to as its range. Only at the highest point of a thrown object's flight does vertical (y) speed equal zero. This component of velocity does not change over time since there is no horizontal acceleration in the absence of air resistance.

For many people, this is a counterintuitive idea. (Depending on the object, air resistance will result in a little or major drop in velocity. However, for the time being, this aspect is disregarded.) Gravitational acceleration must be included in a vertical motion, and as a result, the vertical velocity evolves with time.

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Related Questions

For each method - sometimes used a s heuristic, what is the distance from start to end? (ignore any coloring in the boxes)

Answers

Manhattan distance is a popular heuristic function for sliding-tile puzzles. It is calculated by tallying the number of moves along the grid that each tile takes to move away from its intended position.

What is the Manhattan distance heuristic?

Manhattan distance is a popular heuristic function for sliding-tile puzzles. It is calculated by tallying the number of moves along the grid that each tile takes to move away from its intended position. The obvious option for a heuristic function is the Euclidean (straight-line) distance, which, as far as we are aware, can never underestimate the distance but might do so if there is a target obstacle to avoid on the way there.

Any problem-solving strategy that employs a practical approach or numerous short cuts in order to provide answers that might not be ideal but are adequate given a constrained timeline or deadline is known as a heuristic, or heuristic technique.

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After completing their research, scientists often publish their data in journals or present their results at conferences so other scientists can evaluate their experiments. Why is this a necessary part of the scientific process?

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The publication of research in peer-reviewed journals and conferences is a necessary part of the scientific process to ensure the dissemination of the line of investigation and thus increase the knowledge about a given topic.

What is the purpose of dissemination in research?

In science, dissemination has a fundamental role because it ensures cutting-edge of knowledge about a given topic in particular, which is achieved by publication in journals.

In conclusion, the publication of research in peer-reviewed journals and conferences is a necessary part of the scientific process to ensure the dissemination of the line of investigation and thus increase the knowledge about a given topic.

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3x+5=40 solve for x to get the answer.
This is question isnt real i just need to talk
with someone

Answers

Explanation:

3x=40-5

3x=35

x=35/3

x=11.66 or x=11 2/3

3x+5=4
3x=4-5
3x/3=-1/3
X=-1/3

Imagine that you could build a telescope of any size in your backyard. Ultimately, the smallest angular size that could be resolved by this telescope would be governed by the?.

Answers

The blurring effects of the Earth's atmosphere would decide the smallest angular size that this telescope could resolve.

The term "angular size" refers to an object's apparent size as seen from an observer on Earth. The least angular size can be affected by the magnitude of lights received by telescopes, which can be changed by the earth's hazy atmosphere. Telescopes collect and amplify light from distant objects. Earth's atmosphere substantially limits astronomical observations for two basic reasons.

First, not all atmospheric wavelengths are equally transparent, and some wavelength regimes are completely out of range for ground-based telescopes. Therefore, while developing a telescope with a specific angular size, the earth's atmosphere must be considered.

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Rolls of aluminu are 304 mm wide and 0.016mm thick. what maximum length of aluminum foil (in m) can be made from 1.10kg of aluminum? density of al 2.70g/cm'

Answers

Aluminum foil can be made to a maximum length of 87.76 meters from 1.10 kg of aluminum.

How do you compute density?

Density is defined as d = M/V, where d is density, M is mass, and V is volume.Though the SI unit of density is kg/m3, we use g/cm3 for solids, g/ml for liquids, and g/L for gases for convenience.Density is an important concept because it tells us which substances will float and which will sink when placed in a liquid. Substances float in general if their density is less than the density of the liquid in which they are placed.

By using the above formula for density

ρ = mass / volume

⇒ As given in the problem Rolls of aluminum foil are 304 mm wide and 0.016-mm thick.

the mass of the aluminum = 1.10-kg

mass = 1100 grams

the density of the aluminum = 2.70 g/cm3

density = 17/3

⇒ 2.70 g/cm3 = 1100 grams /volume

volume = 1100/ 2.70

            =407.40 cm3

volume = width ×thickness ×length

407.40 cm3 = 30.4 ×.0016 ×length

⇒ length = 8375.97 cm

              = 87.76 meters

Thus, the maximum length of aluminum foil that can be made from 1.10-kg of aluminum would be 87.76 meters.

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What is the thickness of an anti-reflective coating (n = 1.3) that must be put on a lens (n = 1.5) in order to minimize reflection at a wavelength of 550 nanometers?

Answers

The thickness of an anti-reflective coating is 96 nm.

Define Wavelength?

The wavelength in waves is defined as the distance between the crests and troughs. It can be calculated in the meter in the SI system. The crest is the upper part of the wave, and the trough is the lower part.

Given that,

The index of the anti-reflective coating is n = 1.3

The wavelength is denoted as  λ = 500 nm = 500×[tex]10^{-9}[/tex]m

The expression for interference can be written as

2t = (m+½)λf

m=0 is the minimum reflection order.

λf is referred to as the wavelength of the film.

By substituting the values in the above expression we get,

2t = (m+½)λf

2t = (0+½)λf

t = λf/4 (this will noted as equation 1 for more clarity )

The wavelength of the light in a medium with refractive index can be expressed as

λf = λ/n

By substituting the values in equation1 we get,

t = λf/4

t = (λ/n)/4

t = λ/4n = 500/(4×1.3) = 96 nm.

Therefore , the thickness of an anti-reflective coating is 96nm.

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What do dependent and independent variables mean in science?

Answers

Answer:

Independent variable: These are the factors or conditions that you manipulate in an experiment.

Dependent variables: These are the factor that you observe or measure.

An object traveling in a straight line accelerates. What will definitely happen due to the acceleration?
• The distance traveled in a certain time will increase.
O The displacement covered in a certain time will decrease.
O The speed of the object will stay constant.
• The velocity of the object will change.

Answers

Answer:

The distance traveled in a certain time will increase

Explanation:

A proton is placed in an electric field of intensity 800 n/c. what are the magnitude and direction of the acceleration of the proton due to this field?

Answers

The acceleration of the proton due to this field is 7.66 × 10¹⁰ m/s² in

the direction of the electric field.

What is Electric force on a Charged particle?

The electric force on a charged particle is measured using the following formula.

F=qE

The charge is q and the electric field intensity is E

So, we need the charge on the particle and electric field intensity to calculate the electric force on a charged particle.

Also, from Newton's laws of motion;

F = ma

where m is mass = 1.67×10⁻²⁷kg and a is acceleration

ma = qE

a = qE/m

a = [tex]\frac{1.6 * 10^{-19} *800}{1.67 *10^{-27} }[/tex]

a = 7.66 × 10¹⁰ m/s²

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What is the index of refraction of a material in which the red-light wavelength is 450 nm?.

Answers

The index of refraction of a material in which the red-light wavelength is 450 nm is 1.38≤n≤1.67.

What is index of refraction?

Refractive Index (Index of Refraction) is a value calculated from ratio of the speed of light in a vacuum to that in a second medium of greater density. The refractive index variable is most commonly symbolized by letter n or n' in descriptive text and mathematical equations.

The refractive index  n  is the factor by which wave slows down relative to the speed of light in vacuum  c0 . Almost always, frequency of a wave is constant and so it is the speed and wavelength that change as light passes from one medium into another.

So the wavelength  λ  inside of the medium is related to free space wavelength  λ0  through the refractive index  n .

λ=λ0/n

Red light has free space wavelength  λ0  of anywhere from 620 nm to 750 nm. All of those of wavelengths look red to our eyes. From above equation refractive index is

n1=λ0/λ=620 nm/450 nm=1.38

n2=λ0/λ=750 nm/450 nm=1.67

Based on information you gave, the refractive index could be anything in the range 1.38≤n≤1.67.

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Given that the temperature change observed is 11.5 c when 4.436 g of naoh are added to 150.0 ml of water. what is the heat energy in kj that is produced?

Answers

The heat energy in kj that is produced is 7.21kj  given that the temperature change observed is 11.5 c when 4.436 g of naoh are added to 150.0 ml of water

It is given that 4.436g is the mass of NaOH. The density and volume of water it has been added to was also given.

We need to convert the water's volume to mass

Density = mass / volume

Thus, mass = density * volume

150.0mL H2O * (1.000 g/mL) = 150.0 g H2O.

Now simply add the two masses: 150g + 4.436g = 154.436g

Q = mcdT

Q = heat added or removed

m = mass of substance = 154.436g

c = specific heat of this solution is 4.06j/g C

dT = change in temperature

Q = 154.436g * 4.06 * 11.5

Q =7,210.62J

Q = 7.21kj

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Determine the work done in kj in a piston which has a constant pressure of 25 psi its initial volume is 0.3 m^3 while its final vloume

Answers

The work done is 51.71 kJ.

We need to know about work done to solve this problem. The work done in compression depends on the pressure and change in volume. It can be determined as

W = P . ΔV

where W is work done, P is pressure and ΔV is change in volume.

From the question above, we know that

P = 25 psi

ΔV = 0.3 m³

Convert the pressure to pascal

25 psi = 172369 Pa

By substituting the given parameter, we can calculate the work done

W = P . ΔV

W = 172369 . 0.3

W = 51710.7 joule

Convert to kj

W = 51710.7 x 10¯³ kJ

W = 51.71 kJ

Hence, the work done is 51.71 kJ

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On average, an African elephant is 12,125 lbs. What is the mass of an African elephant in kilograms, expressed in scientific notation (1 lb = 0.4536 kg)?

Answers

Answer:

See below

Explanation:

12 125 lbs  *  .4536 kg/lb = 5499.9 kg      =   5 .4999 x 10 ^3 kg

If a gas and a liquid are at the same temperature and pressure, diffusion occurs much faster in the gas because:_________

Answers

Diffusion occurs more quickly in gases than in liquids because the space between the constituent particles in gases is higher than in liquids. Gas particles therefore have more kinetic energy and move more quickly.

What causes diffusion to occur more quickly in a gas than a liquid at the same temperature?

Because there is more space between the constituent particles in gases than in liquids, diffusion happens more quickly in gases than in liquids. As a result, the kinetic energy and speed of the particles in gas are increased.

Why does diffusion happen more quickly in a gas?

Compounds diffuse more swiftly through gases than through liquids depending on the type of substance.

This is due to the fact that particles in a gas are more dispersed and move more quickly than those in a liquid.

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A cube 5.0 cmcm on each side is made of a metal alloy. after you drill a cylindrical hole 2.5 cmcm in diameter all the way through and perpendicular to one face, you find that the cube weighs 6.30 nn.

Answers

(a) The density of the metal is 7486.88kg/[tex]m^{3}[/tex]

(b)  The cube weigh 9.17N before we drill a hole in it.

The Newton's second rule, the definition of density, and the geometric relationships that enable us to calculate the volume of the given figures must all be applied in order to answer this problem.

The volume of a cube with equal sides is found in this situation by

[tex]V_{c} = l^{3}[/tex]

[tex]V_{c} = 5^{3}[/tex] = 125[tex]cm^{3}[/tex]

When it comes to perforated material, we know that its volume is determined by the cylindrical geometry, or

[tex]V_{d} = \pi r^{2} l[/tex]

[tex]V_{d} = \pi (\frac{2.5}{2}) ^{2} *5[/tex] = 12.5[tex]\pi cm^{3}[/tex]

The net volume would be in this case: ΔV = 125[tex]cm^{3}[/tex] - 12.5[tex]\pi cm^{3}[/tex] = 85.75[tex]cm^{3}[/tex] = 85.75×[tex]10^{-6}[/tex][tex]m^{3}[/tex]

Since we already know the weight and gravity, we can use Newton's second law to get the mass,

F = mg

[tex]m =\frac{6.3}{9.8}[/tex]

m = 0.642kg

Part(a) Based on the relationship between density and the mass and volume units, we must use;

ρ = m/v

ρ = [tex]\frac{0.642}{85.75*10^{-6} }[/tex]

ρ = 7486.88kg/[tex]m^{3}[/tex]

So, the density of the metal is 7486.88kg/[tex]m^{3}[/tex]

Part(b) Next, determine the cube's weight.

W = mg = Vρg

W = 125×[tex]10^{-6}[/tex] × 7486.88 × 9.8

W = 9.17N

The cube weigh 9.17N before we drill a hole in it.

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Please help, don’t need explanations

Answers

The cyclist gets chemical energy from the food.

Peddling transfers mechanical energy to the Dynamo.

Electrical energy is transferred through the wires.

The bulb transfers energy to the room by converting electrical energy into light energy and heat

The sun is a store of solar energy.

Energy is transferred to solar cell by solar panel.

Electrical energy is transferred through the wires.

Energy is transferred to water by conduction.

The water is a store of hydro energy.

Energy is transferred to room by heat energy.

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Venus and earth started out with roughly the same amount of water. while earth still has water in abundance, all of venus' was lost. where did it go?

Answers

Ultraviolet rays split the hydrogen from the oxygen components, and the hydrogen escaped into space.

How did the water disappear on Venus?

Venus and earth begun out with generally the same amount of water. whereas soil still has water in wealth, all of Venus' was lost.  At Venus, the solar wind strikes the upper air and carries off particles into space. Planetary researchers think that the planet has misplaced portion of its water in this way over the four and a half thousand million a long time since the planet's birth.

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1.A ball is thrown vertically upwards with a velocity of 49 m/s. Calculate
(i) the maximum height to which it rises,
(ii) the total time it takes to return to the surface of the earth.

Answers

(i) Max height is 122.5 meters.

(ii) Total time is 10 seconds.

Taylan is at rest with a cement truck in outer space at the space station, then Taylan begins to push on the cement truck with all his might to keep it from hitting the space station. What is that Susan will see really happening?
a
Taylan moving slowly backwards, while the cement truck moves away really slow.
b
Taylan moving backwards quickly, while the cement truck moves away really slow.
c
Taylan moving slowly forwards, while the cement truck moves towards him really fast.
d
Taylan moving slowly backwards, while the cement truck moves away really fast.
e
Taylan moving forwards quickly, while the cement truck moves away really fast.

Answers

Susan will see that Taylan moving slowly backward, while the cement truck moves away really slowly, therefore the correct answer is option A.

What is Newton's third law of motion?

Newton's third law of motion explains that forces exist in pairs. It states that for every action force there exists equal and opposite reaction force, these pairs of forces are equal in magnitude but opposite in direction.

As given in the problem, Taylan is at rest with a cement truck in outer space at the space station, then Taylan begins to push on the cement truck with all his might to keep it from hitting the space station,

Thus, Susan will see that Taylan moving slowly backward, while the cement truck moves away really slowly, therefore the correct answer is option A.

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Amy and ellie left school at the same time, but she and ellie arrived at their homes at the same time. compare the girls speeds. use evidence of the distance each girl travels at the time it takes to travel that distance to support your claim. explain your reasoning.

Answers

hey girl nice to meet evidence, speed Ellie, because

What volume of h2 measured at 26 c and 100 kpa will be produced from 3.25g of na?

Answers

40.1L volume of h2 gas that is measured at 26 c and 100 kpa will be produced from Na of mass given as 3.25g.

What does pressure unit kPa mean?

Kilopascal (kPa), a 1,000-fold increase in the meter-kilogram-second system’s measure of pressure and tension (the International System of Units [SI]).

Blaise Pascal, a French mathematician and scientist, is honored by its name.

How is kPa determined?

The formula below can be used to translate kg/cm2 into kPa:

A kPa equals 1000 pascals (Pa)

1 kg/cm2 is equal to 98066.5 pascals (Pa), or kPa value multiplied by 1000 Pa.

Thereafter,

T = 26°C

= 299K

P = 100kPa

P= 100/101.325

=0.986923 atm

mass = 3.25g

Atomic mas of H = 1.00784

molar mass of H2 gas = 2x10.00784

= 2.01568g/mol

mole of H2 in 3.25g = 3.25/2.01568 = 1.612359 mol

This gas provided in the question follows the ideal gas equation, so it can be written as

PV = nRT

⇒ V = nRT/P

= (1.612359x 0.0821x 299) / 0.986929

⇒ V = 40.104473

V = 40.1 L

Thus, the volume of gas was found to be 40.1Liter.

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If the current in a wire is tripled, what effect does this have on the electron drift velocity in the wire?

Answers

The effect after the current is tripled is changing the drift velocity by a factor 3.

We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as

v = I / (n . A . q)

where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.

From the question above, we know that

I2 = 3 . I1

According to drift velocity formula, the drift velocity is proportional to current

v ~ I

Hence, the ratio of drift velocity and current is

v1 / v2 = I1 / I2

substitute the final current (I2)

v1 / v2 = I1 / (3.I1)

v1 / v2 = 1 / 3

v2 = 3v1

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How are Molecules different from Atoms?
A. They consist of one or more atoms bonded together.
B. They do not contain neutrons.
C. They do not have nuclei.
D. Their particles do not have electrical charges.
ubat

Answers

Answer:

A. They consist of one or more atoms bonded together.

Explanation:

Nuclear fusion can release large amounts of energy.
a. true
b. false

Answers

Nuclear fusion can release large amounts of energy is the True statement.

What is nuclear fusion?

The nuclear fusion reaction occurs when two or more atom combine together to form a heavier atom. For example, when two hydrogen atoms fuse to form one helium atom.

This is the same process that powers the sun and creates huge amounts of energy several times greater than fission. It also doesn't produce highly radioactive fission products.

The nuclear fusion reaction releases large amount of energy, because Fusion reactions have an energy density many times greater than nuclear fission.

The reactions that produces far greater energy per unit of mass but even though the individual fission reactions are generally much more energetic than individual fusion ones, which are themselves millions of times more energetic than chemical reactions.

Thus, the statement is True.

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Sound from the siren of an emergency vehicle has a frequency of 667.2 hz and moves with a velocity of 349.8 m/s. what is the distance from one condensation to the next?

Answers

Sound from the siren of an emergency vehicle has a frequency of 667.2 hz and moves with a velocity of 349.8 m/s, thus the distance from one condensation to the next is 0.52m.

Sound wave characteristics

Waves of sound exist. A disturbance of matter that is conveyed from its source outward is how sound is more precisely defined. Anything that is shifted out of its balance is considered a disturbance.

Some sound waves are classified as periodic waves, which means that the matter’s atoms move in a straightforward harmonic fashion.

As, a string vibrating creates a sound wave. A portion of the string’s energy is used to compress and expand the surrounding air as it oscillates back and forth.

Pressures are a little bit higher and lower as a result. Low pressure regions are rarefactions, and higher-pressure regions are compressions. The air is moved by the pressure anomaly.

Provided that,

∨= 667.2 hz

V= 349.8 m/s

λ =?

∨ = x/λ

λ = 349.8/667.2

λ = 0.52m

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A ladybug crawls up the wall, moving 1 meter in 10 seconds. What is the ladybug's average velocity? show your setup, work, signs, and units. Explain your answer.

Answers

The average velocity of ladybug crawling up the wall, v = 0.1 m/s.

Equation :

To find average velocity using the formula,

v = dx / dt

where,

v is average velocity

dx is distance

dt is time

So, putting the values

We have,

v = 1m / 10s

v = 0.1 m/s

What is average velocity?

The difference between the change in position or displacement (x) and the time intervals (t) during which the displacement occurs is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s or ms-1) is the standard international unit for average velocity.

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there was once a crab name mr crabs who had to go to the docter one day . mr crabs is a an animal in the ____ phylum which was not surpising since he has 10 jointed legs

Answers

there was once a crab name mr crabs who had to go to the docter one day . mr crabs is a an animal in the arthropods phylum which was not surpising since he has 10 jointed legs

What five classes make up the phylum Arthropoda?

Traditional classifications of arthropods place them in the Trilobitomorpha (Trilobites), Chelicerata, Crustacea, Myriapoda, and Hexapoda subphyla.

Arthropod species make up more than 80% of all known extant animal species, with estimates ranging from 170,000 to 5–10 million.

On Earth, arthropods are regarded as the most successful creatures.

Arthropods, however, are also in charge of a number of helpful human functions, including crop pollination, honey production, devouring or parasitizing insect pests, garbage decomposition, and serving as food for various birds, fish, and mammals. Beneficial arthropods flourish in agricultural areas.

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What is the temperature of a 1.59l flask containing 0.175mol of ne at a pressure of 1.09atm?

Answers

The temperature of a 1.59l flask containing 0.175mol of Ne at a pressure of 1.09atm is 120.70 K.

How do you find the temperature of the compound?

We know that the ideal gas law uses the formula:

PV = nRT

where,

P is referred as the pressure, which is measured in atmospheres (atm),

V is referred as the volume, which is measured in cubic meter ([tex]m^{3}[/tex]),

T  is referred as the temperature, which is measured in kelvin (K),

R  is referred as the ideal gas law constant , i.e., 0.0821 atm(L)/mol(K),

n is known as the number of moles (mol).

Given that,

P = 1 atm = 101 325 Pa

  1.09 atm = 1.09 atm x 101 325 Pa/atm = 110 444 Pa

n = 0.175 mol

V = 1.59 x 10⁻³ m³

By substituting the values in the ideal gas law formula,

PV = nRT

110 444 Pa x 1.59 x 10⁻³ m³ = 0.175 mol x 8.314 Jmol⁻¹K⁻¹ x T

T = 120.70 K

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The following are summary statistics on triglyceride levels measured in a sample of n= 200 participants. are there outliers? justify your answer.

Answers

Statistics on triglyceride levels measured that there are no outliers as the minimum value (38) exceeds the lower limit of outliers and the maximum value (394) is less than the upper limit of outliers.

The risk of heart disease and stroke is increased by a number of disorders, including obesity and metabolic syndrome, which is characterised by excess body fat around the waist, high blood pressure, high triglycerides, high blood sugar, and abnormal cholesterol levels.

Your doctor categorises elevated triglyceride levels as: 150–199 mg/dL for mild. 200 to 499 mg/dL is moderate. Significant: More than 500 mg/dL.

Choosing a healthy lifestyle can help lower elevated triglyceride levels. Diet. Avoid simple carbs like sugar, white flour-based foods, fructose, trans fats, and food items containing hydrogenated oils or fats. Olive oil and canola oil are examples of plant-based fats that can be used in place of the fat present in meats.

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The complete question is ''The following are summary statistics on triglyceride levels measured in a sample of n = 200 participants. Are there outliers? Justify your answer.

n = 200 X = 203 s = 64 Min = 38 Q1 = 59 Median = 180 Q3 = 243 Max = 394''

What volume, in ml, of 6.0 m sodium hydroxide is required to fully react with the copper (ii) nitrate produced?

Answers

The question is incomplete as the mass of copper is also needed to solve this. The given mass of copper is 0.9075 g.

The volume of 6.0 M sodium hydroxide(NaOH) required to fully react with copper nitrate produced is 4.76 ml.

The reaction between copper(Cu) and nitric acid(HNO3) is as follows:

Cu + HNO3 = Cu(NO3)2

According to the above reaction

1 mole of copper produces 1 mole of copper nitrate

Or 63.5 g of copper produces 1 mole of copper nitrate

Thus, 0.9075 g of copper produces 1/63.5 x 0.9075 = 0.0143 moles of copper nitrate

The reaction between sodium hydroxide(NaOH) and copper nitrate {Cu(NO3)2} is as follows:

2NaOH + Cu(NO₃)₂ ---> 2NaNO₃ + Cu(OH)₂

From the above equation,

1 mole of copper nitrate fully reacts with 2 moles of sodium hydroxide

Thus, 0.143 moles of copper nitrate fully reacts with 2 x 0.143 = 0.286 moles of sodium hydroxide

The molarity of the given  NaOH solution is 6 M.

Hence its volume would be

Molarity = No. Of moles/Volume of solution(in liters)

6 = 0.286/ Volume

Volume = 0.0476 liters or 47.6 ml.

Hence, the volume of 6.0 M sodium hydroxide(NaOH) required to fully react with the copper nitrate produced is 4.76 ml.

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The question is incomplete as the mass of copper is also needed to solve this. The given mass of copper is 0.9075 g.

The volume of 6.0 M sodium hydroxide(NaOH) required to fully react with copper nitrate produced is 4.76 ml.

The reaction between copper(Cu) and nitric acid(HNO3) is as follows:

Cu + HNO3 = Cu(NO3)2

According to the above reaction,1 mole of copper produces 1 mole of copper nitrate. Or 63.5 g of copper produces 1 mole of copper nitrate. Thus, 0.9075 g of copper produces 1/63.5 x 0.9075 = 0.0143 moles of copper nitrate. The reaction between sodium hydroxide(NaOH) and copper nitrate {Cu(NO3)2} is as follows:

2NaOH + Cu(NO₃)₂ ---> 2NaNO₃ + Cu(OH)₂

From the above equation,1 mole of copper nitrate fully reacts with 2 moles of sodium hydroxide. Thus, 0.143 moles of copper nitrate fully  react with 2 x 0.143 = 0.286 moles of sodium hydroxide. The molarity of the given  NaOH solution is 6 M. Hence its volume would be

Molarity = No. Of moles/Volume of solution(in liters)

6 = 0.286/ Volume

Volume = 0.0476 liters or 47.6 ml.

Hence, the volume of 6.0 M sodium hydroxide(NaOH) required to fully react with copper nitrate produced is 4.76 ml.

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