The volume of 5. 65 moles of a gas is 33. 5 L at STP. At the same temperature and pressure, the volume of 3. 75 moles of the gas is

Answers

Answer 1

According to Avogadro's law, equal volumes of gases at the same temperature and pressure contain an equal number of moles. Therefore, the volume of 3.75 moles of the gas would also be 33.5 L at STP.

What is Avogadro's law ?

Avogadro’s law states that equal volumes of gases under the same temperature and pressure contain the same number of molecules. This law was proposed by Italian physicist and chemist Amedeo Avogadro in 1811 and is now considered one of the fundamental laws of thermodynamics. Avogadro's law can be used to calculate the molar mass of a gas from the density of the gas or to calculate the density of a gas from the molar mass. In addition, it can be used to explain the behavior of gases under different pressures and temperatures.

Since the volume is directly proportional to the number of moles, we can use a proportion to find the volume of 3.75 moles of the gas.

(5.65 moles / 33.5 L) = (3.75 moles / x)

Solving for x, we find that the volume of 3.75 moles of the gas at the same temperature and pressure is also 22.2 L (approximately).

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Related Questions

PLEASE HELP THANKSS-
How does a heterogeneous mixture differ from a homogeneous mixture? How are they similar?

Answers

A homogenous mixture has uniformly dispersed components while a heterogeneous mixture does not.

Homogenous vs heterogeneous mixtures

First of all, both homogenous and heterogenous mixtures consist of 2 or more non-reacting chemical components.

In homogenous mixtures, the chemical components are uniformly dispersed throughout the entire mixture.

In heterogeneous mixtures, the reverse is the case. The components are not uniformly dispersed. They are skewed to a particular side.

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What amino acid is formed using the n-phthalimidomalonic ester synthesis when the following alkyl halides are used in the third step?.

Answers

Threre are two amino acid is formed using the n-phthalimidomalonic ester synthesis when the following alkyl halides are used in the third step -

a. leucine

b. methionine

What is Gabriel malonic ester synthesis?

A reaction that enables us to generate amino acids is the Gabriel synthesis, also referred to as the Gabriel malonic ester synthesis. We can convert primary alkyl halides into primary amines using this procedure. Remember that 19 of the 20 amino acids are actually primary amines.

Who should not take methionine?

Supplemental methionine shouldn't be used by people with the genetic condition homocystinuria type I. Methionine can become more homocysteine if you take methionine supplements without getting enough folic acid, vitamin B-6, or vitamin B-12. Your risk of heart disease could rise as a result.

What does leucine do in the body?

Leucine is an essential amino acid for protein synthesis. Additionally, similarly to other amino acids, the carbon skeleton of leucine can be used to generate ATP. However, leucine can also regulate several cellular processes such as protein synthesis, tissue regeneration, and metabolism.

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The complete question is -

What amino acid is formed using the N-phthalimidomalonic ester synthesis when the following alkyl halides are used in the third step?

a. Ch3Ch(Ch3)Ch2-Br

b. Ch3SCh2Ch2-Br

Identify all resonance forms of the enolate formed, and indicate whether or not a substantial amount of starting ketone will be present together with the enolate at equilibrium. (select all that apply)

Answers

At equilibrium, a significant quantity of starting ketone will be present with the enolate in the first case.

What is ketone?

Ketones are substances produced by the liver. It is formed when there is insufficient insulin in the body to turn sugar into energy.

What happens in scenario two where the formation of possible enolate ions from the cyclohexan-1, 4-di.ketone by abstraction of acidic proton by suing sodium ethoxide base occurs?

In this case a substantial amount of ketone will exist along side the enolate at equilibrium.


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Which compound is not required for the oxidative decarboxylation of pyruvate to form acetyl-coa?

Answers

The compound that is not required for the oxidative decarboxylation of pyruvate to form acetyl-CoA is ATP.

What is oxidative decarboxylation?

The chemical process of oxidative decarboxylation is an oxidative process where carboxylate groups are eliminated to form CO2.

The process of oxidative decarboxylation is associated with cellular respiration, which generates ATP as a product (instead of reactant).

In conclusion, the compound that is not required for the oxidative decarboxylation of pyruvate to form acetyl-CoA is ATP.

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What are the spectator ions when k2s and mgcl2 are combines

Answers

The spectator ions of when k2s and mgcl2 are combined are 1. Cl- (aq) and 2. K (aq)

the balance equation of MgCl2 and  K2S is as follows:

MgCl2(aq) + K2S(aq) ------> MgS(s) + 2KCl(aq)

the net ionic equation is as follows:

Mg 2+ (aq) + 2 Cl- (aq) + 2K (aq) + S 2- (aq) = MgS(s) +2 Cl- (aq) + 2K (aq)

The overall reaction is as follows:

Mg 2+ (aq) + S 2- (aq) = MgS(s)

Thus the spectator ions are the following:

Cl- (aq)

K (aq)

If we compare the solutions before and after the reaction, sodium and nitrate ions are present in both the solutions. They do not undergo any chemical exchange at all. These ions are called spectator ions since they don't participate in the chemical reaction at all (they simply "watch").

Compare the reactant and product sides of the rewritten reaction and cross out the spectator ions. Any dissolved ions that appear in the same form on both sides are spectator ions.

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What are the standard temperature and pressure conditions enthalpy is usually measured under?
A. 1 kPa and 273 K
B. 100 kPa and 298 K
OC. 298 kPa and 100 K
D. 1 kPa and 100 K
Reset Selection

Answers

The standard temperature and pressure conditions enthalpy is usually measured under are 1kPa and 273K (option A).

What is enthalpy?

Enthalpy in thermodynamics is a measure of the heat content of a chemical or physical system.

Enthalpy is the sum of the internal energy and pressure times volume It can be calculated using the following formula:

H = E + P V

Where;

H = Enthalpy

E = internal energy

P = pressure

V = volume

However, the enthalpy of a substance is usually measured under standard temperature and pressure.

The standard temperature is 273 Kelvin or KThe standard pressure is 1kPa

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Which of these is the byproduct of fuel combustion that may result in death if such combustion equipment is not properly vented.
a. radon
b. lead
c. oxygen
d. carbon monoxide

Answers

Carbon monoxide is the byproduct of fuel combustion that may result in death if such combustion equipment is not properly vented and is denoted as option D.

What is Carbon monoxide?

This is a compound which is derived from the combustion of carbon in insufficient supply of oxygen. Carbon monoxide when inhaled replaces the oxygen content in the body which is dangerous because oxygen is needed for the survival of the cells of the body.

The carbon monoxide is usually formed when there is no properly vent thereby resulting in insufficient supply of air. This therefore results in its presence in the body results in the death of cells of the body system.

This is therefore the reason why carbon monoxide was chosen as the most appropriate choice.

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Nal+ Pb(SO4)2
→> products and reaction type

Answers

The reaction is based on law of conservation of mass.

The balanced chemical equation is

[tex]$4 \mathrm{NaI}+\mathrm{Pb}\left(\mathrm{SO}_{4}\right)_{2} \rightarrow \mathrm{PbI}_{4}+2 \mathrm{Na}_{2} \mathrm{SO}_{4}$[/tex]

What is law of conservation of mass?

Every balanced chemical equation follows the direction of conservation of mass. This law states that mass can neither be completed nor can be destroyed but it can only be transformed from one condition to another form. This law likewise states that the total number of individual atoms on the reactant side must be comparable to the total number of individual atoms on the product side.

The Law of Conservation of Mass holds because naturally occurring elements are stable under the conditions located on the surface of the Earth. Most elements come from fusion reactions found only in stars or supernovae. Consequently, in the ordinary world of Earth, from the peak of the highest mountain to the depths of the deepest ocean, atoms are not transformed into other elements during chemical reactions. Because of this, individual atoms that make up living and nonliving subjects are very old and each atom have a history. An individual atom of a biologically essential element, such as carbon, may have expended 65 million years buried as coal before standing burned in a control plant, followed by two decades in Earth's environment before being disbanded in the ocean,

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A bottle of Nitroglycerin has the labeled strength of l/200 grains. What would this strength be in milligrams

Answers

strength in milligrams is 0.3mg

What is Strength?

Mass of the solute in grams/Volume of the solution in litres equals the strength of the solution. The overall formula must be multiplied by 1000 if the volume is measured in millilitres (mL). The concentration of the solution, measured in grammes per litre, can be used to determine the solution's strength.

Molarity -  The moles of solute per litre of solution is measured as molarity. For instance, when table salt is dissolved in water, water serves as both the solution and the solute. Sodium chloride weights 58.44 grammes per mole. One molar solution, or 1M, is created by dissolving 58.44 grammes of sodium chloride in one litre of water.

Relation between Molarity and Strength?

The volume of solute in one litre of a solution determines its strength. As a result, a solution's strength is calculated by multiplying its molecular mass by its molarity.

1 grain = 64.8 milligrams.

1/200 grains = 64.8/200

                     = 0.3mg

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Calculate the pH if the [H^+] = 9.71 ×
10^-8

Answers

Answer:

pH = 7.01

Explanation:

The pH can be calculated using the formula:

pH = -log[H⁺]

In this formula, [H⁺] represents the concentration of H⁺. Since you have been given this value, you can easily find the pH.

pH = -log[H⁺]

pH = -log[9.71 x 10⁻⁸]

pH = 7.01

The answer is 7.01

Steps

________ are weak bonds that are not strong enough to hold atoms together to form molecules but are strong enough to form bonds within and around large molecules.

Answers

Hydrogen bonds are weak bonds that are not strong enough to hold atoms together to form molecules but are strong enough to form bonds within and around large molecules.

The hydrogen bond is weak bond.The hydrogen bond  is electrostatic force of attraction between hydrogen atom and more electronegative atoms or group ( like Florine , oxygen or nitrogen) which is contently bonded.The hydrogen bond is occur in polar , contently bond atoms in different molecules.Example is H-O-H or [tex]NH_{3}[/tex]The positively charged hydrogen side of one water molecule is bond with negatively charged oxygen side of another molecule.

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please help me with this questio

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The mass of the precipitate is 8.74 g and the concentration of the calcium nitrate is 0.061 M.

What mass of precipitate is formed?

The reaction is given by; 2AgNO3(aq) + CaCl2 (aq) ------>2AgCl(s) + Ca(NO3)2(aq)

Number of moles of AgNO3 = 195/1000 * 0.500 = 0.0975 moles

Number of moles of CaCl2 = 305/1000 * 0.100 = 0.0305 moles

If 2 moles of AgNO3 reacts with 1 mole of  CaCl2

0.0975 moles reacts with  0.0975 moles * 1 mole / 2 moles = 0.04875 moles

Thus CaCl2 is the limiting reactant.

1 mole of CaCl2 produces 2moles of AgCl

0.0305 moles produces 0.0305 moles * 2 moles/ 1mole

= 0.061 moles

Mass of precipitate =  0.061 moles * 143.32 g/mol

= 8.74 g

Now 1 mole of CaCl2  produces 1 mole of Ca(NO3)2

Total volume of solution = 195 ml + 305 ml = 500 ml or 0.5 L

Concentration of Ca(NO3)2 = 0.0305 moles/ 0.5 L

= 0.061 M

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Iansiqnsdijsijnweijnjwn

Answers

Answer:

What is your question?

Explanation:

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Answer:

Stan TXT

Explanation:

because they are amazing

Cabbage juice indicator solutions can show pH values from acidic to basic.

Which color represents the most basic solution?

Which color represents the most acidic solution?

Which color represents a neutral solution?

Answers

More acid solution has red colour, more basic solution has purple colour whereas neutral solution has green colour.

Which color represents the most acidic solution?

As the solution becomes more acidic, the color of the solution changes from green toward red.

Which color represents the most basic solution?

As the solution becomes more basic, the color changes of the solution from green toward purple.

Which color represents a neutral solution?

Green color of the solution represents a neutral solution having pH 7.

So we can conclude that More acid solution has red colour, more basic solution has purple colour whereas neutral solution has green colour.

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Which law states that the volume of a gas is proportional to the moles of the gas when pressure and temperature are kept constant?
Boyle’s law
Dalton’s law
Charles’s law
Avogadro’s law

Answers

The law that states that the volume of a gas is proportional to the moles of the gas when pressure and temperature are kept constant is Avogadro’s law. That is option D.

What is Avogadro’s law?

Avogadro’s law states that the volume of a gas is proportional to the moles of the gas when pressure and temperature are kept constant.

Mathematically the Avogadro’s law can be represented by the following:

V1/n1= V2/n1

Where,

V1 = first volume

n1 = first amount of gas

V2 = second volume

n2 = second amount of gas

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Answer:D

Explanation:Trust me bro

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What can be done to double the power output of an object?

Neither of these

Both of these

Take half the time to do the work

Double the work done by the object

Answers

Double the work done by the object.Hope this helps

93.4 g of a metal is heated to 85.0 C in a hot water bath, then dropped into a calorimeter containing 342 ml of water

Answers

The specific heat capacity of the metal is determined as 0.76 J/g⁰C.

Mass of the water

mass = density x volume

mass = 342 ml x 1 g/ml = 342 g

Specific heat capacity of the metal

Apply the law of conservation of energy;

Heat lost by the metal = Heat gained by the calorimeter + heat gained by water

(93.4)(85 - 29.3)c = (8.29)(29.3)  + (342)(4.186)(29.3 - 26.7)

5,202.38c = 3,965.088

c = 3,965.088/5,202.38

c = 0.76 J/g⁰C

Thus, the specific heat capacity of the metal is determined as 0.76 J/g⁰C.

The complete question is below;

93.4 g of a metal is heated to 85.0 C in a hot water bath, then dropped into a calorimeter containing 342 ml of water (d 1.00 g/mL) at 26.7 . The equilibrium temperature was found to be 29.3 C. Calculate the specific heat of the metal with proper units. (C.cal 8.29 J/c)

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How does the phase diagram of a substance illustrate the relationship between temperature and kinetic energy of molecules

Answers

A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance.

What is a Phase diagram ?

These diagrams indicate the physical states that exist under specific conditions of pressure and temperature, and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points).

At low temperatures, most substances are solid; as the temperature increases, they become liquid; at higher temperatures still, they become gaseous.

The phase change between a liquid and a gas has some similarities to the phase change between a solid and a liquid.

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A boy of mass 60 kg and a girl of mass 40 kg are together and at rest on a frozen pond and push each other apart. The girl moves in a negative direction with a speed of 3 m/s. What must be the total final momentum of the boy and girl combined?
A. 120 kgm/s
B. -100 kgm/s
C. 0 kgm/s
D. -120 kgm/s

Answers

The aggregate ultimate momentum of the boy and girl must be 0 kgm/s (option C).

Conservation of momentum:

According to the principle of momentum conservation, momentum is only modified by the forces acting as they are outlined by Newton's equations of motion; momentum is never generated nor destroyed inside a problem domain.

Example- A bullet leaves the pistol when it is fired and picks up speed. The gun recoils to maintain the system's motion. After the pistol is discharged, the total momentum of the pistol and the bullet will be zero in accordance with the law of conservation of momentum.

What is Momentum?

A characteristic of a moving body that it possesses due to its mass and motion and is equal to the sum of its mass and speed.

Therefore, according to the momentum conservation law, it can be concluded that the aggregate end momentum of the boy and girl must be 0 kgm/s (option C).

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Hard-boiled eggs are made by placing eggs in boiling water until their whites and yolks solidify. Why does hard-boiling an egg take longer at high altitude than at sea level

Answers

Hard-boiled eggs are made by placing eggs in boiling water until their whites and yolks solidify. Hard-boiling an egg take longer at high altitude than at sea level because the high altitude lowers the boiling point of the egg.

Why do eggs turn hard when we boil them ?

Hard-boiling an egg take longer at high altitude than at sea level because the high altitude lowers the boiling point of the egg. It takes longer for the water to reach 100°C.

Hard boiling an egg is a chemical change or physical change ?

Hard boiling egg is a chemical change because the egg cannot back into its original form.

Chemical change are those changes in which substance changes chemical composition. These changes are permanent changes.

Thus from the above conclusion we can say that Hard-boiled eggs are made by placing eggs in boiling water until their whites and yolks solidify. Hard-boiling an egg take longer at high altitude than at sea level because the high altitude lowers the boiling point of the egg.

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Which color change represents a positive reaction for the presence of sugar using the Benedict's test

Answers

Answer:

my best answer is blue

Explanation:

Which one is the correct response?

Answers

Pollutants moving into underground water does not represent a social benefit of sustainable waste management.

What is sustainable waste management?

It is the act of recycling wastes or reducing the amount of single-use products that end up as wastes in the environment.

By practicing sustainable waste management, fewer wastes are generated and lesser lands are used as landfills.

More lands become available and wastes are put to beneficial uses.

Pollutants moving into underground water is detrimental to the health of humans. Thus, it cannot represents one of the social benefits of sustainable waste management.

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The option that does not show the social benefit of sustainable waste management is leacha-te going into ground-water (Option D).

What is sustainable waste management?

The term sustainable waste management has to do with the process in which pollutants are taken care of in a way that does not affect the environment.

The option that does not show the social benefit of sustainable waste management is leacha-te going into ground-water (Option D).

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The following is the reaction showing the complete neutralization of calcium hydroxide (a base) with phosphoric acid:

3Ca(OH)2​(aq) + 2H3​PO4​(aq) → Ca3​(PO4​)2​(s) + 6H2​O(ℓ)

A stock solution of calcium hydroxide (base) is made by dissolving 3.51 grams of it into some water and the volume is brought to 750 mL. A 50.0 mL portion of that stock solution is then titrated with a solution of 0.229 M phosphoric acid. How many milliliters (mL) of the acid are needed to completely neutralize the base in this reaction? (tolerance is ±0.1 mL)

Answers

9.17 milliliters (mL) of the acid are needed to completely neutralize the base in this reaction.

What is a neutralization reaction

A neutralization reaction is a reaction between an acid and a base to produce a salt and water only.

The process of reacting given volume of acids or bases to determine the concentration or volume of either the acid or base required for neutralization is known as titration in volumetric analysis.

The formula to determine the volume of the acid required is given below:

[tex]\frac{C_{a}V_{a}}{C_{b}V_{b}} = \frac {N_{a}}{N_{b}}[/tex]

where [tex]V_{a[/tex] is the volume of acid required

[tex]V_{a} = \frac {C_{b}V_{b}N_{a}}{C_{a}N_{b}}[/tex]

Concentration of base, Cb = (3.51/74)/0.75 = 0.063 M

Vb = 50. 0 mL

Ca = 0.229 M

Na = 2

Nb = 3

Va = (0.063 * 50 * 2)/(0.229 * 3)

Va = 9.17 mL

In conclusion, the volume of the acid is determined from the concentration, volume and mole ratio of the reaction.

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Half-life expressions can be derived from?

Answers

Different half-life expressions can be chemically derived from integrated rate laws.

What are integrated rate laws?

In chemistry, the expression 'integrated rate laws' makes reference to the integration of different rate laws.

The constant rate refers to the specific amount of a given substrate or reactant that is used in a chemical reaction to produce a specific amount of product during such reactions.

The constant rate is very useful to determine the time required to generate a given amount of a product in a given chemical reaction (expressed per unit of time).

In conclusion, different half-life expressions can be chemically derived from integrated rate laws.

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why is fruit cake a heterogeneous mixture ??

Answers

Answer because it is made of many components that can be separated through physical means.
It cannot be a homogeneous mixture, as its composition is not uniform all throughout.

Briefly explain how a titration experiment can be used to determine the concentration of a strong acid or strong base solution?

Answers

Answer:During an acid-base titration, an acid with a known concentration  is slowly added to a base with an unknown concentration (or vice versa). A few drops of indicator solution are added to the base. The indicator will signal, by color change, when the base has been neutralizedExplanation:

Treatment of DCS may involve: Select one: In-water recompression. Administration of pure oxygen. Recompression in a hyperbaric chamber. Both the second and third answers are correct.

Answers

Treatment of DCS may involve Recompression in a hyperbaric chamber.

Hence, Option (3) is correct answer.

What is DCS ?

DCS is Decompression Sickness which is followed by recompression in a hyperbaric chamber. They prevent long term effects.  It is also known as generalized barotrauma. It occur mostly in Scuba divers.

What are the Sign and Symptoms of DCS ?

The sign and symptoms of DCS are

Skin itchShortness of breathA blotchy rashPain in joints or armDizziness

Thus from the above conclusion we can say that Treatment of DCS may involve Recompression in a hyperbaric chamber.

Hence, Option (3) is correct answer.

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A measure of peak separation in a chromatographic method that equals the difference in retention time for two components divided by the average of their peak widths is the definition of

Answers

A measure of peak separation in a chromatographic method that equals the difference in retention time for two components divided by the average of their peak widths is the definition of resolution.

Retention time can be referred to as the amount of time a solute spends in the stationary and mobile phases of a column.

The analyte's interaction with the stationary phase determines the longer retention period.

The duration of retention will increase as the interaction becomes more strong.

Resolution is defined as the peak separation in a chromatographic procedure that is equal to the difference in retention time for two components divided by the average of their peak widths.

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The table shows columns that brenda uses for her notes on the properties of elements. her notes state that some elements can react to form basic compounds. a 3-column table with 2 rows. the first row has entries metals, metalloids, nonmetals. the second row has entries nothing, nothing, nothing. where should brenda place this property in her table? only in the column for metalloids only in the column for nonmetals in the columns for metalloids and for nonmetals in the columns for metals and for metalloids

Answers

The element should be placed in the column for metalloids. Option A

What is the property of metals?

We know that the properties of metals can be used to identify an unknown substances as a metal. We know that metals are able to react with acids to liberate the metal salt and hydrogen gas. Metals do not react with bases because they can not accept electrons.

Metalloids are generally amphoteric in nature. They can react with both the acid and the basses to form compounds. The nonmetals do not react with acid or base.

Looking at the result, we are told that the entry in the second row have the entries  nothing, nothing, nothing. If this is the outcome, then it follows that the element should be placed in the column for metalloids.

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Answer: A

Explanation:

The study of the structure of matter and the composition of substance, their properties, and their chemical reactions is called:

Answers

Answer: chemistry

Explanation: see definition on wikipedia.

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Kylie is writing a persuasive essay for English class. The essay has to present her opinion and evidence for constructing that opinion. The essay has to have a minimum word count of 150 words and a maximum word count of 500 words.Which compound inequality represents the length, w, of the essay? 500 w 150150 w500 w150 w 500 Well-defined goals such as defining the risks a program will manage, what risk management processes are required, and how risk management efforts will be coordinated are all part of a(n)_____ program. What is the value of f(16) - f(0) when f(x) = 4x - 8? 16 48 56 64 How do you think southern states got around this admendment A 29.0 kg beam is attached to a wall with a hi.nge while its far end is supported by a cable such that the beam is horizontal.If the angle between the beam and the cable is = 57.0 what is the vertical component of the force exerted by the hi.nge on the beam? During evening rounds on a medical unit, a client is discovered in cardiac arrest. After activating the code button, the nurse initiates chest compressions. A second nurse enters the room to assist. What priority task could be delegated to the second nurse 2. According to Archimedes, the area of any circle is equal to the area of a right triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Verify this formula for yourself using the formula for the circumference of a circle. A teacher wants to know whether their course helps students on the SAT. The hypothesized population mean for SAT scores is 500. The standard deviation of the population is 77. The sample size is 100. The sample mean for students who took the course is 533. What is the z-score A nurse is caring for a client with type 1 diabetes who is being discharged home tomorrow. What is the best way to assess the client's ability to prepare and self-administer insulin which tree diagram shows all the possible outcomes for 2 coin flips? find the midpoint of (0, 4) and (2, -2) What happens to the carbon atom in the transformation of chloromethane to methyllithium? 5. Harrigan RL. Vanderbilt University Institute of Imaging Science Center for Computational Imaging XNAT: A multimodal data archive and processing environment[J]. Neuroimage,2016,124(Pt B):1097-101. Solve the triangle. Round your answers to the nearest tenth. Fill in the blank: In data analytics, a _____ refers to all possible data values in a certain dataset Sophies spending decisions are heavily influenced by her family, her peers, and her religious education. these influences on her spending decisions are all ________ influences. Very much appreciated!!! An order is received for trimethoprim/sulfamethoxazole 15 mg/kg/day in 3 divided doses in a patient with PCP who weighs 64 kg. How many mL of IV trimethoprim/sulfamethoxazole should be added to the IV bag for one dose Twenty-one is 25% of what number?A. 5.25B. 84C. 10.5D. 63 Which one of these is not a step used when constructing an inscribed square using technology? (5 points) 1) create a circle using the center with given point tool. 2) connect the point with a line through the center of the circle. 3) mark the points of intersection between the three circles. 4) create another circle with the same radius as the original.