What is the role of calcium ions in the release of a neurotransmitter substance?

Answers

Answer 1

The emission of a transmitter is caused by the action of calcium ions, which also cause synaptic vesicle exocytosis, which releases the neurotransmitters inside the vesicles and starts synaptic transmission.

What functions does calcium ion serve in the body?

Nearly all bodily biological processes, including heart and muscle pulses, neurotransmission of information, memories and learning baby creation, cell proliferation, and Calcium ions enter the cytoplasm of organelles through calcium channels.

Why are calcium ions necessary for the brain?

Calcium plays a critical role in the brain's regulation of synaptogenesis and memory formation. This process activates certain calmodulin signal transmission pathways and involves important protein effectors such CaMKs, MAPK/ERKs, or CREB.

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Related Questions

You have three crystal substances (x, y, and z) whose properties are listed in the table below. Identify the types of bonds in each substance and explain your answer.

Answers

X contains metallic bond

Y contains ionic bond

Z contains covalent bond

What is the crystal structure?

We know that the crystal structure of a compound would have to do with the way that the atoms and the elements that compose the compound could be said to have been arranged. Thus if a compound is said to have a crystal structure then we can say that the compound would be crystalline in nature as we can see from the table that we have in the question here.

The kind of bonds that we have in the compound is about one of things that can be able to determine whether or not the compound has a crystalline structure as we can see.

Looking at the properties of the compounds that have been shown in the bale that has been attached to the answer that we have here, we can be able to make a decision regarding each of the substances shown.

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Explain why the change in internal energy and in enthalpy may not be equal for a reaction
done at constant pressure, and how the difference between them may be estimated. Explain why
measurements in a bomb calorimeter give ArU, not ArH.

Answers

Answer:

9.990-357

Explanation:

aru not arh is 9.990-357

In which process do bacteria convert NH4 to NO3 to NO4?|

Answers

The process by which bacteria convert NH4 to NO3 to NO4 is called nitrification.

What is the role of nitrification in the nitrogen cycle? Nitrification is a two-step process where ammonia (NH3) is oxidized to nitrite (NO2) and then to nitrate (NO3). This process is carried out by bacteria known as nitrifying bacteria. Nitrification plays an important role in the nitrogen cycle by converting ammonia and other forms of nitrogen into nitrate, which is a form of nitrogen that can be used by plants for growth. Nitrification also helps to reduce pollution in aquatic environments by converting ammonia-based pollutants into nitrates. Nitrate is then used by organisms in the environment such as algae, which in turn can be consumed by fish and other aquatic organisms. The nitrate can then be converted back into nitrogen gas (N2) and released into the atmosphere, thus completing the nitrogen cycle. Nitrification is an essential part of the nitrogen cycle and is necessary for the proper functioning of the environment.

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PLAEASEEEEEEE HELPPPPPP HURRY

Which object in the image will have the smallest change in motion when an equal force is applied? (2 points)
an eight kilogram circle,
five kilogram rectangle,
four kilogram triangle,
six kilogram square

8 kg circle

6 kg square

4 kg triangle

5 kg rectangle

Answers

Answer:

The object will have the smallest change in motion when an equal force is applied is 8kg circle.

Explanation:

Answer:8gk is the a 1

Which of the following electron transitions in hydrogen atom will require largest amount of energy?
O From n = 1 to n = 2
O From n = 2 to n = 3
O From n = 5 to n = 1
O From n = 3 to n = 5

Answers

Option C, The electron transition from n = 5 to n = 1 in hydrogen atom requires the largest amount of energy as it is moving from a higher energy state to a lower energy state, thus overcoming the highest amount of electrostatic force of attraction to the nucleus.

In the hydrogen atom, the energy of an electron is related to its distance from the nucleus, which is characterized by the principal quantum number (n). As the distance of an electron from the nucleus increases, its energy decreases. Therefore, the electron transition that requires the largest amount of energy is when an electron jumps from the state with the lowest principal quantum number to the state with the highest principal quantum number.

From the options given, the transition that requires the largest amount of energy is c. From n = 5 to n = 1 because, in this case, the electron is transitioning from the state with the highest principal quantum number (n = 5) to the state with the lowest principal quantum number (n = 1). This transition requires the largest amount of energy because the electron must overcome the highest amount of electrostatic force of attraction to the nucleus.

It's important to notice that all the other options (a. from n=1 to n=2, b. from n=2 to n=3, d. from n=3 to n=5) are transitions that go to a lower n, meaning that the electron is getting closer to the nucleus and therefore lower energy state.

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Carbon reacts with four Hydrogen's to form methane through ionic bonding. Each hydrogen donates one electron to Carbon therefore having a filled outer shell with 8 electrons.

True
False

Lithium has an oxidation of +1, and Fluorine an oxidation of -1, therefore if they reacted they would only need one atom of each to become stable.

Question 4 options:
True
False

If Magnesium and chlorine reacted, it would require two Magnesium and one chlorine to become stable.

Question 5 options:
True
False

If Calcium reacts with Nitrogen, the proper ratio of atoms to become stable would be 3 calcium's and two Nitrogen's.

Question 6 options:
True
False

When water forms, two hydrogen atoms covalently bond with one oxygen atom, and Hydrogen through this electron sharing takes on the electron configuration of helium (duet), and oxygen takes on the electron configuration of Neon (Octet).

Question 7 options:
True
False

Answers

There are two types of chemical compound one is covalent compound and other is ionic compound, covalent compound formed by sharing of electron and ionic compound formed by complete transfer of electron. Therefore, the given statement is false.

What is chemical Compound?

Chemical Compound is a combination of molecule, Molecule forms by combination of element and element forms by combination of atoms in fixed proportion.

Carbon reacts with four Hydrogen's to form methane through covalent bonding. Each hydrogen donates one electron to Carbon therefore having a filled outer shell with 8 electrons.

Therefore, the given statement is false.

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2-methylbutan-1-ol is heated with an excess of

concentrated sulphuric acid (H2SO4) in order to cause an

elimination reaction.

i) Write an overall equation (using condensed formula) for this

elimination reaction and name the reactants and products as

part of the equation

ii) Draw the product of this reaction in displayed formula.

iii) Provide a ‘curly arrow’ mechanism (in displayed formula) for

the formation of the product supported with an explanation.​

Answers

Answer:1. 2methylbutene

Explanation:

i:  CH3CH2CH(CH3)CH2OH--H2SO4----------> CH3CH=C(CH3)CH3

      2-methyl butane-1-ol undergoes dehydration to form alkene in presence of an excess of concentrated sulphuric acid to form2-methylbut-2-ene

ii:                           CH3                        

                                I

                CH3CH2C=Ch2

iii: Shown in attach image

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the volume required to get to the equivalence point is blank dependent on the concentration and volume of acid or base to be titrated and the base or acid used to do the titration because the equivalence point is blank the stoichiometry of the balanced reaction of the acid and base. the stoichiometry only considers the number of moles involved, blank the strength of the reactants involved.

Answers

Equivalence point is dependent on stoichiometry of balanced reaction of acid and base. Stoichiometry only considers number of mols involved, not strength of reactants involved.

To ascertain how much of a specific drug is present in a sample, an experiment called a b is done. A diprotic acid is one that has a two-proton (H+) capacity per molecule. Two equivalence points—points at which the number of moles of acid and base are equal—are present when a diprotic acid is titrated with NaOH. When all of the acids have been neutralised, the first equivalence point is reached; meanwhile, the second equivalence point is reached when the surplus base has been neutralised. The amount of NaOH solution required to go from the first equivalence point to the second equivalence point is twice the amount required to travel from the first equivalence point to the first equivalence point.

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which of the following best explains why the lattice energy of \ce{nacl}nacln, a, c, l is greater than the lattice energy of \ce{rbcl}rbclr, b, c, l?

Answers

NaCl has greater lattice energy as the size of anions is similar but the size of cation in NaCl is smaller than RbCl.

Lattice energy refers to the release of energy which occurs when the constituent atoms are placed in their respective positions on the crystal lattice. Additionally, it also refers to the amount of energy required to separate an ionic crystal into its component ions. Lattice energy is a measure of the ionic bond strength in an ionic compound. It is used to gain insight into different properties of ionic solids such as solubility, volatility, and hardness. Lattice energy is directly proportional to the ionic charges product and inversely proportional to the internuclear distance or the size of ions. When considering NaCl and RbCl the radius of Rb+ is greater than Na+, hence it will have less lattice energy. The cation with smaller radii exhibits higher lattice enthalpy.

Note: The question is incomplete. The complete question probably is: Why is the lattice energy of NaCl greater than the lattice energy of RbCl?

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Which of the following is a homogeneous mixture?l

Answers

Sugar water is a homogeneous mixture. Therefore, option A is correct.

What are the mixtures?

A mixture can be described as made up of two or more different substances which are physically combined in a mixture. A mixture of two or more substances can break down into their original components.

The composition of a heterogeneous mixture can not be uniform entire the mixture while the composition of a homogeneous mixture can be always the same.

Pure substances cannot be broken down into simple substances that have only one kind of atom in the entire composition.

A pure substance can be described as made up of two or more elements that are chemically combined together and has a set composition such type of pure substance is called a compound.

As the sugar completely dissolved in water so it is a homogeneous mixture.

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Your question is incomplete, the complete question was,

Which of the following is a homogeneous mixture

A ) sugar solution

B) Mud

C) dirt

D) salsa

5. Find the sum of all the valence electrons for NF, (Add how many valence electrons one nitrogen atom has with the
valence electron for three fluorine atoms.)

6. How many valence electrons are in the drawing of NF, above?

7. In CCL, carbon is the "central atom". In NF3 nitrogen is the "central atom". What is meant by "central atom"?

8. In SF₂ sulfur is the central atom. You can tell which atom is the central atom simply by looking at the formula.

What is meant by "central atom"?
9. Identify the central atom in each of the following molecules:
a. CO₂
b. PH3
c. SiO₂

Answers

a) There are 26 valance electrons in [tex]NF_{3}[/tex] .

b) The central atom bears all the other atoms

c)  CO₂ - Carbon is the central atom

[tex]PH_{3}[/tex] - Phosphorus is the central atom

SiO₂ - Silicon is the central atom.

What are the valence electrons?

We have to note that when we talk about the valence electrons, we mean the electrons that tend to occupy the valance shells of the atoms of the elements.

In the case of the compound that has been shown in the question,[tex]NF_{3}[/tex] has about 26 valence electrons and this can be shwn from the Lewis structure of the compound shown.

The term central atom has to do with the atom to which all of the other atoms or groups can be seen to be attached.

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The addition of 3.15 g of Ba open parentheses OH close parentheses subscript 2 times 8 straight H subscript 2 straight O to a solution of 1.52 g of NH subscript 4 SCN in 100 g of water in a

Answers

The heat that is absorbed by the system is  1363 J. Option B

What is the heat absorbed?

We know that in a chemical reaction that there could be the absorption or the evolution of heat. We say that there is the evolution of heat when heat has been lost from the system and there is the absorption of heat when heat has been gained by the system.

Number of moles of the barium hydroxide hydrate = 3.15 g/203 g/mol

= 0.015 moles

Number of moles of the ammonium thiocyanate = 1.52/76 g/mol

= 0.02 moles

If 1 mole of barium hydroxide hydrate reacts with 2 moles of  ammonium thiocyanate

0.015 moles of barium hydroxide hydrate reacts with 0.015 * 2 moles/1 mole

= 0.03 moles

Hence the limiting reactant is the ammonium thiocyanate.

Now the heat that is absorbed is;

H = mcdT

m = mass of the water

c = Heat capacity

dT = Temperature change

H = 100 * 4.20 * 3.1

H = 1363 J

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In the image below, the formally charged carbon in molecule 1 has ___hydrogen(s) attached and the formally charged carbon in molecule 2 has___hydrogen(s) attached.

Answers

In the image below, the formally charged carbon in molecule 1 has 2 hydrogen(s) attached and the formally charged carbon in molecule 2 has 1 hydrogen(s) attached.

Molecule 1 features a carbon atom with two hydrogen atoms attached, while molecule 2 features a carbon atom with just one hydrogen atom attached.

Both molecules have a formally charged carbon, making them unique among the many types of molecules available. With the difference in hydrogen attachment, both molecules offer distinct characteristics and benefits.

This difference in the number of hydrogen atoms affects the molecules' overall structure and properties.

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NaOH
a. bromocresol green or methyl red
b. alizarin, bromthymol blue or phenol red
c. erythrosin B or 2,4-dinitrophenol
d. 2,4-dinitrophenol or bromphenol blue
e. o-cresolphthalein or phenolphthalein

Answers

The indicator used for the titration of base  NaOH with a strong acid is o-cresol phthalein and phenolphthalein due to clear colour intensity variation during titration.

When an o-cresolphtahlein indicator is mixed with the basic solution gives the light red colour to dark red with increased pH values. similarly, phenolphthalein gives reddish-orange colour. Titration is a technique used to evaluate an unknown substance concentration in a solution. It entails adding a known concentration of a solution, known as the titrant, gradually to a known volume of the object being studied, known as the analyte or titrand. The endpoint of the titration is the point at which the two solutions are chemically balanced. Acid-base titrations involve an acid and a base reacting to produce salt and water. Transferring electrons from one species to another is a component of redox titrations.

Hence, titration is neutralization reaction of acid and bases.

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In which circumstance would a researcher need to first establish an operational definition in order to objectively assess its variable?

a.
researching the effects of salt on systolic blood pressure

b.
researching the effects of coffee on energy levels

c.
researching the effects of magnesium on the average number of hours of slept at night

d.
researching the effects of water on the metabolic rate

Answers

An operational definition is the statement of procedures the researcher is going to use to measure a specific variable.

Why do researchers use operational definitions of their terms?

Researchers can explain in detail what they mean when they use a phrase by using an operational definition. Operational definitions are typically measurable and concrete. This method of defining variables enables others to assess the validity of the study. Operationalization is the procedure in question.

The variables you'll utilize as indicators and the methods you'll employ to observe or measure them are both included in your operational definitions. No matter how solid your conceptual definition may be, you need an operational definition since without one, you cannot measure anything.

Operational variables, also known as operationalizing definitions, describe how you'll quantify and define a particular variable when it's applied to your research. This makes it possible for a different psychologist to duplicate your findings and is crucial in establishing.

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17. How many grams of NO2 (46.0 g/mol) will be produced by the reaction of 43.9 g of
NH3 (17.03 g/mol)?
4NH3 (g) +702 (g) → 4NO2 (g) + 6H2O(g)

Answers

The mass of [tex]NO_2[/tex], in grams, that would be produced by the reaction will be 118.68 grams.

Stoichiometric problem

First, let's write out the balanced equation of the reaction:

[tex]4NH_3 (g) +7O_2 (g) -- > 4NO_2 (g) + 6H_2O(g)[/tex]

From the equation, the mole ratio of [tex]NH_3[/tex] and [tex]NO_2[/tex] is 1:1.

Recall that, mole = mass/molar mass.

43.9 g of [tex]NH_3[/tex] = 43.9/17.03

                        = 2.58 mol

Thus, from the 1:1 mole ratio, the equivalent mole of  [tex]NO_2[/tex] produced from the reaction would be 2.58 mol.

Since, mass = mole x molar mass, the mass of 2.58 mol of  [tex]NO_2[/tex] can be calculated as:

2.58 x 46.0 = 118.68 grams.

In other words, the amount of  [tex]NO_2[/tex] produced by the reaction of 43.9 g of [tex]NH_3[/tex] according to the chemical equation would be 118.68 grams.

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Identify the absolute configuration of the chirality centers in each of the following compounds as R or S. Note: if multiple chirality centers are present, indicate the stereochemical designations as: RR, SS, RS, or SR. (Other terms used for chirality center include chiral center, stereocenter, and stereogenic center.)

Answers

The R/S isomer is decided on the basis of the attached group atomic number to chiral atom.

the R/S configuration is the nomenclature used to describe the enantiomer of chiral molecules. The absolute configuration of chiral substances is another name for this arrangement. the atom attached to the chiral centre is marked based on atomic number. Higher atomic number objects will be given lesser numbers. Place the chiral centre so that the atom with the lowest priority is pointed away from the observer. The absolute configuration is R if the arrow moves in a clockwise direction. Additionally, the absolute configuration is S if the arrow is moving anticlockwise. This is followed when the lower priority group are present in a vertical position and reversed is followed in case of the horizontal direction.

Hence, absolute configuration directly influenced by priority group

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The connected group atomic number to the chiral atom determines the R/S isomer.

The enantiomer of chiral compounds is designated by the nomenclature R/S configuration. Another name for this configuration is the absolute configuration of chiral compounds. Based on its atomic number, the atom that is joined to the chiral center is identified. Lesser numbers will be assigned to items with higher atomic numbers. Put the chiral center in such a way that the atom with the lowest priority faces the viewer. If the arrow turns clockwise, the absolute configuration is R. Additionally, if the arrow is travelling counterclockwise, the absolute configuration is S. When the lower priority group is present and is positioned vertically, this happens.

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A sports trainer applies an ice bag to the back of an injured athlete. Calculate the heat in kcal that is absorbed if 165g of ice at 0.0∘C is placed in an ice bag, melts, and rises to body temperature of 37.0∘C. (For water, 80. cal (334 J) is needed to melt 1g of ice or must be removed to freeze 1g of water.)
Express the heat to two significant figures and include the appropriate units.

Answers

The heat absorbed by the ice is given by the formula: heat = mass * specific heat capacity * change in temperature.

The mass of the ice is 165g. The specific heat capacity of water is 4.18 J/g°C. The change in temperature is 37.0°C - 0.0°C = 37.0°C.

The heat absorbed by the ice is: 165g * 4.18 J/g°C * 37.0°C = 29,894.5 J

To convert from J to kcal: 1 kcal = 4184 J. Therefore,

29,894.5 J / 4184 J/kcal = 7.13 kcal

The heat absorbed by the ice is 7.13 kcal

Which one of the following symbols represent an element?

A. CO

B. He

C. HF

D. NO

Answers

The symbol that represents that of an element is He. Option B.

Symbols of elements

Elements have their respective symbols in chemistry. For example, hydrogen is represented by H, and helium is represented by He. Carbon is represented by C, oxygen by O, fluorine by F, and nitrogen by N.

Thus, CO is a combination of carbon and oxygen, HF is a combination of hydrogen and fluorine, and NO is a combination of nitrogen and oxygen. They are known as carbon monoxide, hydrogen fluoride, and nitrogen oxide respectively.

In other words, the only symbol that represents that of an element is He which symbolizes helium.

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What is the number of chloride ions (Cl-) in 250 mL of a 0.2M magnesium chloride solution?

a. 0.1 mol c. 0.62 mol
b. 0.16 mol d. 1.6 mol

( I have a feeling that the answer choices are I'm given are all incorrect... I am using M=N/V and keep getting 0.05 mol.

Answers

The number of chloride ions (Cl-) in 250 mL of a 0.2M magnesium chloride solution is 0.16.

Option B is correct.

How to calculate?

The first step to take is  figure out how many moles of magnesium chloride were needed to make this solution.

We use the compound's molar mass, which essentially tells us the mass of one mole of magnesium chloride which is 0.01996 moles MgCl2

Each mole of magnesium chloride will produce  2 moles of chloride anions in solution.

0.01996 x 2 moles Cl− = 0.03992 moles of Cl−

Therefore the number of chloride ions (Cl-) in 250 mL of a 0.2M magnesium chloride solution is 0.03992/ 250 ml

=0.16 moles of Cl

molarity tells us the number of moles of solute you get per liter of solution, we can conclude that the molarity of the chloride anions will be 0.16

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Oxygen is a substance that dissolves in water. Fish absorb oxygen from the water. When dissolved oxygen levels are low, it can be hard for organisms to survive

Answers

Oxygen is a molecule that is essential for life. It is a colorless, odorless gas that makes up about 20% of the air we breathe.

What is molecule?

A molecule is a group of two or more atoms that are held together by chemical bonds. They are the basic building blocks of all matter, and are composed of protons, neutrons, and electrons.

When oxygen is dissolved in water, it can be absorbed by aquatic organisms such as fish. These aquatic organisms use the oxygen to help them with their metabolic processes. When the levels of oxygen in the water are too low, the organisms are not able to survive and may die. Low oxygen levels can occur naturally due to environmental factors like temperature or seasonality, or they can be caused by human activities such as pollution. It is important to keep oxygen levels in the water high to ensure the health of aquatic ecosystems.

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A reaction has an enthalpy change of +14 kJ mol-¹
entropy change of +37 J K-¹ mol-¹. At what
temperature does this endothermic reaction become spontaneous?

Answers

A reaction has an enthalpy change of +14 kJ mol-¹ entropy change of +37 J K-¹ mol-¹. the temperature is 378105.2284°C.

What is temperature?

Generally, To determine the temperature at which an endothermic reaction becomes spontaneous, you need to use the entropy change of the reaction and the enthalpy change of the reaction. This can be done using the equation:

ΔG = ΔH - TΔS

Where

ΔG is the change in Gibbs free energy.ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

If the ΔG for a reaction is negative, then the reaction is spontaneous. If the ΔG for a reaction is positive, then the reaction is not spontaneous.

In this case, we are given that the enthalpy change for the reaction is +14 kJ/mol and the entropy change for the reaction is +37 J/K*mol.

We can use this information to solve for the temperature at which the reaction becomes spontaneous

ΔG = ΔH - TΔS

0 = +14 kJ/mol - T(+37 J/Kmol)

T = 14000 J/mol / (37 J/Kmol*1/1000)

T = 378378.3784 K

Thus, the temperature at which this endothermic reaction becomes spontaneous is approximately 378378.3784 K, which is approximately 378105.2284°C.

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A solution of glucose sugar (C6H₁206) labeled 2.89 ppm. What is the molarity of the solution?​

Answers

The molarity of the solution is 0.00016 M

To determine the molarity of a solution, you need to know:

The mass of the solute (in this case, glucose) The volume of the solvent (in this case, probably water).

From the information you provided, the concentration of the solution is given in parts per million (ppm). To convert from ppm to molarity, you need to know:

The molecular weight of the solute The density of the solvent.

The molecular weight of glucose is 180.16 g/mol. If the solvent is water, the density is about 1 g/mL. Here is the conversion calculation:

1 ppm = 1 mg/L = (1/180.16 g/mol) / (1 g/mL) = 5.55 x 10^-6 mol/L

So, the molarity of the solution is: 2.89 ppm * 5.55 x 10^-6 mol/L/ppm = 1.60 x 10^-4 mol/L = 0.00016 M

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Answer:

Explanation:

Before telling the answer remember some terminology

molarity=No. of moles of solute/Volume of the solution in liters

M=n/V

n=Mass of solute(w)/Molecular mass(M)

V=volume of solution(v)/1000

ppm =(parts per million)

ppm of solute=(mass of solute/mass of solution)*10^{6}

2.89gms of solute in 1000000 of solution

5.22gm of solute

5.22in 1000 gms in litre=5220g[tex]L^{-1}[/tex]

2.89 gms are present in 2.59/5220=5.5363*[tex]10^{-4}[/tex]

Hence the molarity of the solution is 5.5363*[tex]10^{-4}[/tex]mol [tex]L^{-1}[/tex]

if you travel 60 miles per hour for 13 hours, how many total miles would you have traveled​

Answers

Answer:

780

Explanation:

AT first this question looks difficult but if you read it closely its simple. so what we know is that for ever 60 miles he drives 13 hours. So all we have to do is mulyiply 60x13.

Which of the following pairs of solutions produces a precipitate when combined?

Cu(NO3)2 and NaCl
Cu(NO3)2 and K2CO3
CaCl2 and NaNO3
Fe(NO3)3 and MgCl2

Answers

The pairs of solutions that produces a precipitate when combined are  [tex]Cu(NO_{3})_{2}[/tex] and [tex]K_{2} CO_{3}[/tex]3. So the correct option is B.

What is a precipitate?

A precipitate is a solid that is created from a solution in an aqueous state in which two chemicals react. The precipitate then, once formed, will remain floating in solution. If you intervene in the process by putting the solution in a centrifuge, it will press the mass to the bottom of the tube, generating a compact mass.

The generation of the precipitate can be generated only if the characteristics of the compounds will overcome the solubility that it has to be able to generate a reaction.

All this will be generated because in the solution there will be components which will generate a chemical reaction between two ionic compounds. For this reason, the correct option will be B. [tex]Cu (NO_{3}) _{2}[/tex] and [tex]K_{2} CO_{3}[/tex].

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How would Ra bond wit Bi

Answers

Answer:

Polar covalent bond

Explanation:

as Ra only has two extra electrons on another outside ring is does not take much to switch over i believe thats how it works

If 5.0g of H2 are reacted with excess CO, how many liters of 3.0 M CH3OH solution are produced? Co(g) + 2H2(g) —> CH3OH(1)

Answers

Answer:

See attachment for graph.

The function is not continuous.

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

\begin{gathered}f(x)=\begin{cases} x-3 \;\;\;\;\: \text{if}\;\;\;x \leq -2\\4x+5 \;\;\; \text{if}\;\; \;x > -2 \end{cases}\end{gathered}

f(x)={

x−3ifx≤−2

4x+5ifx>−2

Therefore, the function has two definitions:

f(x) = x - 3 when x is less than or equal to -2.

f(x) = 4x + 5 when x is greater than -2.

When graphing piecewise functions:

Use an open circle where the value of x is not included in the interval.

Use a closed circle where the value of x is included in the interval.

Use an arrow to show that the function continues indefinitely.

First piece of the function

Substitute x = -2 into the first function:

\implies f(-2)=-2-3=-5⟹f(−2)=−2−3=−5

As the interval for the first equation is x ≤ -2, it includes the value of x = -2. Therefore, place a closed circle at point (-2, -5).

To help graph the line, find another point on the line by inputting another value of x that is less than -2 into the same function:

\implies f(-5)=-5-3=-8⟹f(−5)=−5−3=−8

Plot point (-5, -8) and draw a straight line from the closed circle at (-2, -5) through (-5, -8). Add an arrow at the other endpoint to show it continues indefinitely as x → -∞.

Second piece of the function

Substitute x = -2 into the second function:

\implies f(-2)=4(-2)+5=-3⟹f(−2)=4(−2)+5=−3

As the interval for the second equation is x > -2, it does not include the value of x = -2. Therefore, place an open circle at point (-2, -3).

To help graph the line, find another point on the line by inputting another value of x that is more than -2 into the same function:

\implies f(1)=4(1)+5=9⟹f(1)=4(1)+5=9

Plot point (1, 9) and draw a straight line from the open circle at (-2, -3) through (1, 9). Add an arrow at the other endpoint to show it continues indefinitely as x → ∞.

See attachment for the graph.

\begin{gathered}\boxed{\begin{minipage}{8cm}\underline{Determining if a function is continuous at $x=a$}\\\\Condition 1: $f(a)$ exists\\\\Condition 2: $\displaystyle \lim_{x \to a}f(x)$ exists at $x=a$\\\\Condition 3: $\displaystyle \lim_{x \to a}f(x)=f(a)$\\\end{minipage}}\end{gathered}

If all three conditions are satisfied, the function is continuous at x = a.

If any one of the conditions is not satisfied, the function is not continuous at x = a.

To determine whether or not the given piecewise function is continuous, find if the function is continuous at x = -2.

Condition 1

Does f(-2) exist? Yes → f(-2) = -5

Condition 2

\textsf{Does}\;\;\displaystyle \lim_{x \to -2} f(x)\;\; \sf exist\;at\;\;x=-2?Does

x→−2

lim

f(x)existatx=−2?

To the left of x =- 2, f(x) = x - 3

To the right of x = -2 , f(x) = 4x + 5

Evaluate the left and right limits as x approaches -2:

\displaystyle \lim_{x \to -2^-}f(x)=\lim_{x \to -2^-} -2-3=-5

x→−2

lim

f(x)=

x→−2

lim

−2−3=−5

\displaystyle \lim_{x \to -2^+}f(x)=\lim_{x \to -2^+} 4(-2)+5=-3

x→−2

+

lim

f(x)=

x→−2

+

lim

4(−2)+5=−3

\textsf{As}\;\;\displaystyle \lim_{x \to -2^-} f(x) \neq \lim_{x \to -2^+} f(x), \;\; \lim_{x \to -2} f(x)\;\; \textsf{does not exist}.As

x→−2

lim

f(x)

=

x→−2

+

lim

f(x),

x→−2

lim

f(x)does not exist.

As condition 2 fails, there is no need to proceed to condition 3.

Therefore, the function is not continuous.

questions are in the picture

Answers

Answer:

A possible element with ns2np4 valence orbital is Oxygen(O)
A element that has the most electronegativity and soft is flourine(F)
for part C, it is scandium (Sc) with the last electron filled in the 3d orbital

If an S wave has a frequency of 2.5Hz and a wavelength of 600 m, what is the speed of the wave?

Answers

S waves have a frequency of 2.5Hz, a wavelength of 600 m, and an average speed of 2.5 × 600 = 1500.

How to calculate speed of wave ?

Wave speed is the amount of space a wave covers in a certain length of time, such as how many metres it covers in a second. Speed = Wavelength x Frequency is the formula that links wave speed to wavelength and wave frequency. When wavelength and frequency are known, one may use this equation to determine the wave speed.

Frequency equals 600 Hz. Given that the sound speed in air is 340 m/s, the wavelength is calculated as wavelength = speed/frequency = 340/600 = 0.57 m. P19. The wavelength is two hurts into the frequency. After solving, we will obtain a lambda of 1.5 metres. Three metres per second is a velocity of v. So the water waves here move at a 3 metre per second rate. The equation linking wave speed, frequency, and wavelength is v=f since the frequency, f, is 1/T.

To learn more about wave refer to :

https://brainly.com/question/16610625

#SPJ1

What is the density of 1 mole of water

Answers

18.01 grams is the density of 1 mole of water
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