A student creates a 1M citrate (C3H5O(COO)33-) buffer solution at pH 5.0. He then dilutes the solution to 200 mM, and adds it to his experiment. What is the pH of the 200 mM buffer solution?A. Between pH 5 and pH 7B. Greater than pH 7C. Less than pH 5D. The pH will remain close to 5

Answers

Answer 1

The pH will remain close to 5.

The buffering capacity of the citrate buffer solution is preserved even after dilution.

When a buffer solution is created, it is designed to resist changes in pH.

In this case, the student created a 1M citrate buffer solution at pH 5.0. This means that the citrate molecule is in equilibrium with its conjugate base (C3H5O(COO)33- and C3H5O(COO)34-) in the solution, which helps maintain the pH at 5.0.

When the solution is diluted to 200 mM, the concentration of the buffer molecules decreases. However, the buffer capacity remains the same because the ratio of the citrate to its conjugate base remains constant. This means that the buffer solution will still resist changes in pH.

Therefore, the pH of the 200 mM buffer solution will remain close to pH 5, as the buffer system will still be effective in maintaining the pH at that level.

The answer is D.

The pH of the 200 mM citrate buffer solution will remain close to pH 5. When a buffer solution is prepared, it consists of a weak acid and its conjugate base, or a weak base and its conjugate acid.

In this case, citrate is used as the buffering agent.

Buffer solutions have the ability to maintain their pH despite the addition or removal of small amounts of acids or bases.

When the student dilutes the 1M citrate buffer solution to 200 mM, the ratio of the weak acid to its conjugate base remains constant, which ensures the buffer maintains its capacity to resist changes in pH.

Therefore, the pH of the 200 mM buffer solution will still be close to the original pH of 5.

In conclusion, the correct answer is D.

The pH will remain close to 5, as the buffering capacity of the citrate buffer solution is preserved even after dilution.

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Related Questions

What happens to the charge if a nonmetal
takes two valence electrons?

Answers

Answer:

if a non-metal takes two valence electrons then it get negatively charged to form ion.

Answer:

The nonmetal will gain a negative charge of magnitude 2

Explanation:

X be the nonmetal

On gaining two electrons

X^2-

help me get this right no links

help me get this right no links

Answers

Answer:

1 and 2

Explanation:

1. The moon blocks the sun's light from hitting the Earth. (It casts a shadow on the earth by doing so)

2. The moon moves between the Earth and the Sun. (So it blocks the sun's light)

HELP NOW PLEASE Which is not a type of RNA in the diagram
mRNA
rRNA
tRNA
zRNA

HELP NOW PLEASE Which is not a type of RNA in the diagram mRNArRNAtRNAzRNA

Answers

Answer:

zRNA

Explanation:

RNA is a nucleic acid responsible for the synthesis of proteins, since it is the molecule that carries the information contained in DNA for the biological process called transcription.

There are three types of RNA, the mRNA, the tRNA and the rRNA. There is no RNA called a zRNA, however, existing RNAs have different functions. These functions are listed below:

The mRNA is called messenger RNA and is the RNA responsible for containing the DNA information that will be translated into proteins created during protein synthesis.

The tRNA is responsible for identifying the information presented by the mRNA, creating amino acids from it and transporting those amino acids in the right order to form proteins.

rRNA is also called ribosomal RNA and is responsible for creating ribosomes, which are the organelles where protein synthesis will take place.

the general formula for the alkane series is:

Answers

Answer:

The alkanes comprise a series of compounds that are composed of carbon and hydrogen atoms with single covalent bonds. This group of compounds comprises a homologous series with a general molecular formula of C n H 2 n+2 , where equals any integer.

Explanation:

The general formula for the alkane series is CnH2n+2

General formula for the alkane series:

In this formula:

"Cn" shows how many carbon atoms are in the alkane molecule.

"H2n+2" shows the amount of hydrogen atoms in the alkane compound, with "n" being the number of carbon atoms.

Alkanes are a group of hydrocarbons that only have single bonds between their carbon atoms. The formula says that each carbon atom is connected to two hydrogen atoms. And the total number of hydrogen atoms in an alkane molecule is two more than double the number of carbon atoms.

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How I do this? and I need help like now!

How I do this? and I need help like now!

Answers

Answer:

1ohm

Explanation:

For the following acids of varying concentrations, which are titrated with 0.125 M KOH, rank the acids in order of least to most volume of base needed to completely neutralize the acid. 0.060 M H_3 AsO_4 (triprotic) 0.15 M HC_2H_3O_2 (monoprotic) 0.075 M HNO_2 (monoprotic) 0.060 M H_2SO_3(diprotic) 0.095 M H_2C_6H_6O_6 (diprotic)

Answers

The ranking from the least to the most volume of base needed to neutralize the acids is as follows:

\(H_3AsO_4 < H_2SO_3 < H_2C_6H_6O_6 < HNO_2 < HC_2H_3O_2\).

To determine the order of acids requiring the least to the most volume of base for neutralization, we need to consider their molarities and the number of protons they can donate.

1. \(H_3AsO_4\) is a triprotic acid, meaning it can donate three protons (H+ ions) in sequential steps. It has a concentration of 0.060 M.

2. \(HC_2H_3O_2\) is a monoprotic acid, capable of donating a single proton. Its concentration is 0.15 M.

3. \(HNO_2\) is also a monoprotic acid with a concentration of 0.075 M.

4. \(H_2SO_3\) is a diprotic acid, having two protons to donate. It has a concentration of 0.060 M.

5. \(H_2C_6H_6O_6\) is another diprotic acid, with a concentration of 0.095 M.

To compare the acids, we need to consider their relative concentrations and the number of protons they can donate. Acids with higher concentrations or more protons will require more base for neutralization.

Based on the information provided, the ranking of acids in terms of the least to the most volume of base needed for complete neutralization is as follows:

1. \(H_3AsO_4\) (0.060 M) - It is the least concentrated acid on the list and a triprotic acid, meaning it can donate more protons in total. Therefore, it will require the least volume of base.

2. \(H_2SO_3\) (0.060 M) - Although it is a diprotic acid like \(H_2C_6H_6O_6\), its lower concentration suggests it will require a smaller volume of base for neutralization.

3. \(H_2C_6H_6O_6\) (0.095 M) - It is a diprotic acid but has a higher concentration compared to H2SO3, requiring a larger volume of base.

4. \(HNO_2\) (0.075 M) - It is a monoprotic acid with a higher concentration than \(H_2SO_3\), placing it in a higher position in the ranking.

5. \(HC_2H_3O_2\)(0.15 M) - It is a monoprotic acid and has the highest concentration among the acids listed, indicating that it will require the largest volume of base for complete neutralization.

Therefore, the ranking from the least to the most volume of base needed to neutralize the acids is as follows:

\(H_3AsO_4 < H_2SO_3 < H_2C_6H_6O_6 < HNO_2 < HC_2H_3O_2\).

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Chem please help theres a photo attatched

Chem please help theres a photo attatched

Answers

Answer:

the top one is 100.000 and bottom one is 100.000

Explanation:

The first one is 100.000% and the second one is 97.24%

)
Which group of elements is found in the s block of the periodic table?
Alkaline Earth Metals
O Halogens
Metalloids
O Transition Metals

Answers

Transition metals so yeah that’s the answer good luck

a given molecule has six electrons in bonding orbitals and two anti-bonding orbitals. what is the bond order for the molecule?

Answers

Two anti-bonding orbitals and six electrons in bonding orbitals make up the bond order of the given molecule, which is 2. In the orbital theory, the bonding orbital is used to describe interactions.

The formula for determining bond order is given below. 1/2 (electrons in bonding molecular orbitals - electrons in antibonding molecular orbitals) (electrons in bonding molecular orbitals - electrons in antibonding molecular orbitals) Bond length and strength are revealed by bond order. A shorter bond length is typically correlated with higher bond order. The fact that there are more bonds between the atoms explains this.

Half of the difference between the number of bonding and antibonding electrons is another definition of bond order in molecular orbital theory.

Bond order is 1/2. (electrons in bonding orbitals - electrons in anti-bonding orbitals.)

Bond order is 1/2. (6-2)

bond order is two.

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As a roller coaster is going UP the first hill, what is happening to the KE?

Answers

Explanation:

It should be decreasing, and the potential energy increasing, since Law of Conversation of Energy, right?

Also, if you think about what happens when it goes down, it loses potential and gains kinetic, so maybe the opposite should happen when it goes up.

Answer:

it's decreasing

Explanation:

as you know a roller coaster loses speed as it ascends and the kinetic energy is proportional to the speed according to it's formula

KE=(mv^2)/2

where m is the mass and v is the speed

true or false an athlete breaks open an instant ice pack and it almost immediately gets very cold as the chemicals inside react. identify the chemicals as the system. identify the following items as being part of the system or the surroundings, and indicate whether the process is exothermic or endothermic.

Answers

True. The athlete breaks open an instant ice pack and it almost immediately gets very cold as the chemicals inside react.

Identify the chemicals as the system. The chemicals are the system. The following items are part of the system or surroundings, and the process is exothermic. When the instant ice pack is broken, it causes a chemical reaction to occur, which creates cold energy that is released into the surroundings. When a chemical reaction absorbs heat from its surroundings, it is referred to as an endothermic reaction. Heat is released into the environment during an exothermic reaction. In this scenario, the process is exothermic because the reaction produces cold energy that is released into the surroundings.

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A feedstock of pure n-butane is cracked at 750 K and 1.2 bar to produce olefins. The reactions are: C4H10 → C2H4 + C2H6 (I) C4H10 → C3H6 +CH4 (II) The equilibrium constants are, K1 = 3.856 and KII = 268.4. At equilibrium, what is the product composition?

Answers

The product composition at equilibrium of cracking pure n-butane to produce olefins is determined by the equilibrium constants.

At equilibrium, the product composition of cracking pure n-butane to produce olefins is determined by the equilibrium constants, K1 and KII.

Using these constants, we can calculate the mole fractions of the products.

The mole fraction of \(C_2H_4\) is calculated by using the formula, (1 + K1/\(KII)^{(-1/2)\), which gives a value of 0.526.

The mole fraction of \(C_2H_6\) is calculated by using the formula, K1/(1 + K1/KII), which gives a value of 0.297.

The mole fraction of \(C_3H_6\) is calculated by using the formula, KII/(1 + K1/KII), which gives a value of 0.146.

The mole fraction of \(CH_4\) is calculated by using the formula, (1 + K1/\(KII)^{(-1/2),\) which gives a value of 0.031.

Therefore, at equilibrium, the product composition is 52.6% \(C_2H_4\), 29.7% \(C_2H_6\), 14.6% \(C_3H_6\), and 3.1% \(CH_4\).

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At equilibrium, the product composition will be 50.1% C2H4, 49.9% C3H6, and negligible amounts of C2H6 and CH4. This is due to the high equilibrium constant for reaction II.

The equilibrium constant expression for each reaction is given by K1 = [C2H4][C2H6] and KII = [C3H6][CH4]/[C4H10]. Assuming x is the extent of reaction for both reactions, the equilibrium concentrations are [C4H10] = P - x, [C2H4] = [C2H6] = x/2, and [C3H6] = [CH4] = xII. Substituting these into the equilibrium constant expressions and solving for x and xII gives x = 0.459 and xII = 0.000171. Therefore, the product composition is 50.1% C2H4, 49.9% C3H6, and negligible amounts of C2H6 and CH4. This is because the equilibrium constant for reaction II is much higher than that for reaction I, meaning that more C3H6 and CH4 are formed than C2H6, making C3H6 the dominant product.

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which of the following were included in dalton's atomic theory? atoms can be subdivided, created, or destroyed. atoms of different elements can combine in simple whole-number ratios. in chemical reactions, atoms are combined, separated, or rearranged.

Answers

The true statement is: Dalton’s theory recognized that all matter is composed of atoms.

1. The first comprehensive attempt to characterise all matter in terms of atoms and their properties was Dalton's atomic theory.

2. The laws of conservation of mass and constant composition served as the foundation for Dalton's theory.

3. In the first section of his thesis, he claims that all matter is composed of indivisible atoms.

According to the second component of the theory, the mass and characteristics of every atom in a specific element are the same.

Compounds, according to the third section, are combinations of two or more different kinds of atoms.

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The Subatier Reactor is projected to produce 909 kg of water per year. Calculate the number of grams of H2 that needs to be collected each month to produce this amount of water?

Answers

Approximately 16,946 grams of H₂ needs to be collected each month to produce 909 kg of water per year in the Sabatier Reactor.

Steps

The balanced chemical equation for the electrolysis of water is:

2H₂O(l) → 2H₂(g) + O₂(g)

From the equation, we can see that 2 moles of water produce 2 moles of H₂ gas. The molar mass of water is 18.015 g/mol, and the molar mass of H₂ is 2.016 g/mol.

To calculate the number of grams of H₂ that needs to be collected each month to produce 909 kg of water per year, we can use the following steps:

Calculate the number of moles of water produced per year:

909 kg/year x (1000 g/kg) / 18.015 g/mol = 50,471.5 mol/year

Calculate the number of moles of H₂ produced per year:

50,471.5 mol/year x 2 mol H₂/mol H₂O = 100,943 mol/year

Calculate the number of moles of H₂ produced per month:

100,943 mol/year / 12 months = 8,412 mol/month

Convert the number of moles of H₂ to grams:

8,412 mol/month x 2.016 g/mol = 16,945.9 g/month

Therefore, approximately 16,946 grams of H₂ needs to be collected each month to produce 909 kg of water per year in the Sabatier Reactor.

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in this short synthetic sequence, provide the organic structures of the missing reactant and the missing product.

Answers

The first step of the reaction, we have  reaction between a nucleophile and an electrophile.

We can see that in the first step of the reaction, we have  reaction between a nucleophile and an electrophile. In this case, the electrophile would have to be an alkyl halide which produces a carbocation as show in the image attached. What we have here is quite similar or  like most of the organic reactions, this reaction occurs in a number of detailed or smaller steps and each step of the reaction is going to help to bring us closer to the end product of the entire steps of the reaction which is wat we target as we carry out the particular reaction.The second step involves the reduction of the alkyne with the use of a Lindlar catalyst. As such the reaction is poisoned and it stops at the alkyne stage rather than going on to obtain the alkane.

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in this short synthetic sequence, provide the organic structures of the missing reactant and the missing

A 9.583 L contains nitrogen gas under a pressure of 4.972 atm at
31.8°C. Calculate the number of moles of nitrogen in the tank.

Answers

Answer:

0.0188

Explanation:

using pv=nRt

where v--volume

p pressure

n number of moles

t temperature in kelvin

R molar gas constant=8.314atmmoldm^-3k^-1

4.972 × 9.583 =n × 8.314 × (31.8 + 273)

note I changed 31.8c to kelvin

making n subject of the formula

n=(4.972 × 9.583)/(8.314 ×(31.8 + 273)

n=(4.972 × 9.583)/(8.314 ×(304.8))

n=0.0188 moles

Drag each tile to the correct image.
Match each alkane name with its structure.
octane
decane
propane
butane
heptane
CHE
IGH
CHE
Reset
Next

Drag each tile to the correct image.Match each alkane name with its structure.octanedecanepropanebutaneheptaneCHEIGHCHEResetNext

Answers

Answer:

The first one is Propane

The second one is HEPTANE

The third one is octane

The 4th is butane

the 5th is decane

The structures have been named according to IUPAC as \(\rm C_3H_8\) Propane, \(\rm C_7H_{16}\) Heptane, \(\rm C_8H_{18}\) Octane, \(\rm C_4H_{10}\) Butane, and \(\rm C_{10}H_{22}\) Decane.

The images has been the representation of the ball and stick structure of the compounds. The central balls have been the representation of the carbon atom , with small balls attached to the sticks have been the representation of the hydrogen attached.

The following structures has been given as:

The structure has 3 carbon atoms with the presence of 8 hydrogen. The molecular formula has been \(\rm C_3H_8\). It has been the structure of propane.

The structure has 7 carbon and 16 hydrogen. The structure has been the representation of heptane with molecular formula \(\rm C_7H_{16}\).

The structure has molecular formula \(\rm C_8H_{18}\) with 8 carbon and 18 hydrogen. It has been named Octane, according to IUPAC.

The structure with 4 carbon and 10 hydrogen with molecular formula \(\rm C_4H_{10}\) has been named according to IUPAC as butane.

The structure with molecular formula \(\rm C_{10}H_{22}\) has presence of 10 carbon and 22 hydrogen. It has been named as Decane.

The structures have been named according to IUPAC as \(\rm C_3H_8\) Propane, \(\rm C_7H_{16}\) Heptane, \(\rm C_8H_{18}\) Octane, \(\rm C_4H_{10}\) Butane, and \(\rm C_{10}H_{22}\) Decane.

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What can you infer if the fossil of a marine organism is found in an area that is now dry land?

Answers

Answer:

Fossils also help us to infer why dinosaurs and other organisms became extinct. Fossils tell us that there was a mass extinction at the time of the dinosaurs. They died out about 65 million years ago, along with more than half of all the other animal and plant species. ... Without plants, dinosaurs could not survive.

Explanation:

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In 1990, Hydro-Québec was charged with dumping the toxic chemical polychlorinated byphenyl (PCB). What is the category of law related to this type of offence?
Select one:
a. Environmental assessment law
b. Environmental regulatory law
c. Common law
d. Tort law

Answers

Answer:

b. Environmental regulatory law

Explanation:

Environmental regulatory laws are specific legal regulations and frameworks that govern the actions and practices of individuals, organizations, or industries in relation to environmental protection and conservation. These laws are designed to regulate and prevent harmful activities that can have detrimental effects on the environment, including the disposal of hazardous substances such as PCBs.

It is important to note that specific legal jurisdictions may have variations in their environmental laws and regulations, so the categorization may vary depending on the specific legal context in which the offense occurred.

calculate the effective nuclear charge of s and cl using the simple formula zeff = z–s. do not use slater's rules.

Answers

The effective nuclear charge of sulfur is 14, and the effective nuclear charge of chlorine is 15.

Effective nuclear charge (Zeff) is a measure of the positive charge felt by the valence electrons. The effective nuclear charge (Zeff) of s and Cl is calculated using the simple formula zeff = z – s, where z is the atomic number and s is the screening constant. Screening constant (s) is the number of electrons between the nucleus and the valence electrons that shield the valence electrons from the full nuclear charge of the nucleus.

For sulfur (S), the atomic number is 16, and there are two electrons in the innermost shell and four electrons in the second shell. So, the number of valence electrons in sulfur is 6. The screening constant of S is 2. Effective nuclear charge of sulfur = z – s= 16 - 2= 14

For chlorine (Cl), the atomic number is 17, and there are two electrons in the innermost shell and eight electrons in the second shell and seven valence electrons. Therefore, the screening constant of Cl is 2. Effective nuclear charge of chlorine = z – s= 17 - 2= 15

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Select the correct formula for the polyatomic ion. you can find a list of common polyatomic ions by clicking here. the formula for ammonium carbonate: nh4hco3 nh4co3 (nh4)2co3

Answers

The chemical formula for ammonium carbonate is (NH₄)₂CO₃. Therefore, option (C) is correct.

When heated, ammonium carbonate, also known as (\(NH_{4}\))2\(CO_{3}\), rapidly breaks down into ammonia and carbon dioxide. It functions as a smelling salt and a leavening agent. Ammonium carbonate, often known as baker's ammonia, was used before baking soda and baking powder as leaveners.

Sal volatile contains ammonium carbonate, and salt of hartshorn when baked emits a strong odour. At standard pressure and temperature, two processes lead to the gradual breakdown of ammonium carbonate. The pure ammonium carbonate sample will combine with different byproducts.

Upon spontaneous dissociation, ammonium carbonate can separate into ammonium bicarbonate and ammonia. which results in the addition of more ammonia, carbon dioxide, and water.

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Answer:Select the correct formula for the polyatomic ion. You can find a list of common polyatomic ions by clicking here.

The formula for the ammonium ion:

ANSWER:

NH4+

Explanation:

What is the difference between an exoplanet and a pulsar

Answers

Answer:

exoplanet: a planet that orbits a star outside the solar system.

pulsar: a celestial source of pulsating electromagnetic radiation (such as radio waves)

Explanation:

exoplanet: a planet that orbits a star outside the solar system.

pulsar: a celestial source of pulsating electromagnetic radiation (such as radio waves)

please hurry i need this test due today

please hurry i need this test due today
please hurry i need this test due today
please hurry i need this test due today

Answers

Answer:

11: D

12: C

last picture: A

Explanation:

hope this helps

Consider the following pair of reactions. Predict the type of substitution mechanism, predict which reaction of the pair will occur at the faster rate, and draw the correct organic product

Answers

The reaction with S_N₂mechanism is likely to be faster than the reaction with S_N₂ mechanism. This is because the carbocation intermediate formed in S_N₁ mechanism is more stable.

The pair of reactions given below is:

CH₃Cl + NaOH→CH₃OH + NaCl

CH₃I + NaOH→CH₃OH + NaI

The type of substitution mechanism:

The first reaction involves S_N₁ mechanism (unimolecular nucleophilic substitution). The second reaction involves S_N₂ mechanism (bimolecular nucleophilic substitution).

Prediction of the reaction that will occur at a faster rate:

The reaction with S_N₁ mechanism is likely to be faster. The rate of this reaction mainly depends on the stability of the carbocation intermediate formed after the initial step. In this case,CH₃Cl reacts to form a tertiary carbocation which is more stable than the primary carbocation formed in CH₃I.

Drawing the correct organic product:

CH₃Cl + NaOH→CH₃OH + NaCl

CH₃I + NaOH→CH_3OH + NaI

CH₃C reacts with NaOHin an S_N₁ mechanism to produceCH₃OH and NaCl.


CH₃ reacts withNaOH in an S_N₂mechanism to produce CH₃OH and NaCI.


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What are 3 differences between ionic and covalent bonds?.

Answers

Covalent bonds have a low melting point and high boiling point, but ionic bonds have very high melting and boiling points.

In plain English, what is a covalent bond?

When two atoms exchange an electron pair, they form an interatomic connection known as a covalent bond in chemistry. The electrical interaction of their protons for the identical electrons is what causes the binding.

What causes a covalent bond to form?

A covalent bond is formed when two atoms exchange one or even more pairs of electrons. The two two atoms are concurrently drawing these electrons to them. When the difference in two atoms' electronegativities is too low for an electron transfer to happen, a covalent bond is created.

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How does a balanced chemical equation demonstrate the Law of Conservation of Mass? (1 point)

O it shows that only physical changes follow the Law of Conservation of Mass

O it shows that no atoms have been gained or lost during the reaction

O it shows that the properties of the elements stay the same after the reaction

O it shows that all compounds remain bonded after the reaction

Answers

Explanation:

A balanced equation demonstrates the conservation of mass by having the same number of each type of atom on both sides of the arrow. enjoy

Answer:

It show that no atoms have been gained or lost during reaction

Explanation:

are two everyday examples of the thermal energy of a substance being decreased. (Select all correct answers)
instand cold pack

A freezing water

B cooling food

C heating food

Answers

The two everyday examples of the thermal energy of a substance being decreased are:

Instant cold pack

Cooling food

What is thermal energy?

Thermal energy is the total internal energy of an object or substance, arising from the motion and vibration of its atoms and molecules. It is a type of kinetic energy that is associated with the temperature of the object or substance. Thermal energy is often measured in units of joules (J) or calories (cal). It can be transferred from one object or substance to another through the processes of conduction, convection, and radiation.

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identify an important difference between the cytoplasm of the axon and that of the axon terminal. choose the correct option.

Answers

C) Presence of ribosomes

The correct option is C) Presence of ribosomes.

Ribosomes are normally absent from the cytoplasm of the axon terminal, whereas they are present in the cytoplasm of the axon. Protein synthesis is carried out by ribosomes, and the fact that they are found in the cytoplasm suggests that protein synthesis can also take place in the axon. Protein synthesis is typically not necessary in the axon terminal, as this structure's main job is to release neurotransmitters and promote communication with nearby neurons or target cells. Due to the absence of ribosomes in the axon terminal, protein synthesis differs between the axon and axon terminal.

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--The question is incomplete, the complete question is:

"Identify an important difference between the cytoplasm of the axon and that of the axon terminal. Choose the correct option. A) Protein content of the membrane differs from the soma B) Occurrence of protein synthesis C) Presence of ribosomes D) Large numbers of mitochondria"--

Suppose you want to search for high-redshift star-forming galaxies using a telescope equipped with a spectrograph able to measure the entire optical spectrum (400-700 nm). Star-forming galaxies contain copious hydrogen gas, from which stars form. Some of this gas will be ionized by the newly-formed stars; the spectra of star-forming galaxies there exhibit bright hydrogen lines in emission. Light from the newly-formed stars is absorbed by neutral hydrogen gas as it passes through the galaxy. a) If you wish to search for Lyman-a emitting galaxies, over what redshift range can you find such galaxies? [3 points] b) If you detect only one line, you cannot be certain that this line is the Lyman-a line, and hence that the galaxy is indeed at the computed redshift. Assuming you can also observe in the infrared (wavelengths >700 nm), how can you change your strategy to make sure that the line you detect is really the Lyman-a line? Give three examples of how you can increase confidence in the correct identification of the Lyman-a line considering only hydrogen gas. [3 points] c) Limited only to optical wavelengths and considering only hydrogen gas, what strategy should you adopt to be certain that the line you detect is really the Lyman-a line while maximizing the redshift range over which you find galaxies? With this strategy, over what redshift range can you find star-forming galaxies? Justify through appropriate computations and reasoning that this is in fact the optimal strategy for maximizing the redshift range of your search. [10 points] d) Apart form hydrogen emission lines, star-forming galaxies also usually exhibit bright [OIII] forbidden lines. Why can such lines be seen from interstellar gas but not the Earth's atmosphere or in the laboratory? [4 points]

Answers

a) The maximum observable range of redshifts that produces Lyman-alpha line is 0 ≤ z ≤ 10.6

b) i) identifying the galaxy with a radio source, ii) looking for other Lyman lines, iii) a coincidence with a continuum break

c)The maximum redshift range over which galaxies can be found using this strategy is z = 7 to z = 15.5.

d)Earth's atmosphere absorbs the radiation, and the laboratory conditions are not the same as interstellar conditions.

a) Lyman-alpha line is produced by the hydrogen atoms that have electrons that are in the ground state being raised to the first excited state. Over a certain range of redshifts, the Lyman-alpha line is redshifted to longer wavelengths that are observable by an optical spectrograph. The maximum observable range of redshifts that produces Lyman-alpha line is 0 ≤ z ≤ 10.6 (depending on the exact details of the galaxy's emission profile).

b) Observing the galaxy in the infrared can help in the identification of the Lyman-alpha line as it is shifted to longer wavelengths. Three ways to increase confidence in the correct identification of the Lyman-alpha line are:

i) identifying the galaxy with a radio source, ii) looking for other Lyman lines, iii) a coincidence with a continuum break.

c) The strategy that needs to be adopted is to look for the Lyman limit, which is the point at which the spectrum is cut off by the absorption of all hydrogen in the galaxy. To be certain that the line you detect is the Lyman-alpha line, you need to look for a decrement in the flux of the galaxy at wavelengths shorter than the line and a decrement in the flux at wavelengths longer than the line. This is because the Lyman limit will be shifted to longer wavelengths at higher redshifts, so to maximize the redshift range over which galaxies can be found, you need to search for the Lyman limit at the longest wavelength possible. The maximum redshift range over which galaxies can be found using this strategy is z = 7 to z = 15.5.

d) The reason why such lines can be seen from interstellar gas but not the Earth's atmosphere or in the laboratory is that the Earth's atmosphere absorbs the radiation, and the laboratory conditions are not the same as interstellar conditions. The forbidden lines from the interstellar gas are not affected by dust absorption because they are produced in regions where dust is not present.

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Which one of the following Lewis structures is definitely incorrect? 1) A. BF; B. XeO C. Ne D. AICI, E. NH

Answers

Option A, BF, does not violate the octet rule, option B, XeO, satisfies the octet rule for all atoms, option C, Ne, is a noble gas and already has a complete octet, and option D, AICI3, has complete octets for both the atoms and does not violate any rules.

The incorrect Lewis structure is likely to be the one that violates the octet rule, has an incomplete octet or has an odd number of electrons.

In the given options, only option E, NH, violates the octet rule. Nitrogen has five valence electrons and each hydrogen has one valence electron. If we draw the Lewis structure for NH, we get three lone pairs on nitrogen and one unpaired electron.

This makes a total of nine valence electrons, which is one more than the total available. Therefore, NH does not follow the octet rule and is the incorrect Lewis structure.

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