Scientists want to investigate the effects caffeine on short term memory by randomly assigning 200 volunteers to intake 86mg of caffeine before a memory quiz and the remaining 200 volunteers to intake 86mg of a placebo before taking a memory quiz. The quiz score of each volunteer is recorded.
What is the response variable?

Answers

Answer 1

The response variable in this study is the memory quiz score of each volunteer.

The response variable is the outcome of the study that the scientists are interested in measuring and analyzing. In this case, it is the memory quiz score of each volunteer. The memory quiz is used as a measure of the effect of caffeine on short-term memory.

The scores of the quiz will be used to determine if there is a significant difference between the scores of the group that consumed caffeine and the group that consumed the placebo.

The response variable will be used to draw conclusions about the effect of caffeine on short-term memory and it can be quantitative in nature. The scores can be analyzed and compared to understand the relationship between caffeine intake and memory retention.

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Related Questions

a bond that exists between two full, opposite charges

Answers

After two or more atoms lose or receive electrons to create an ion, an ionic bond can occur. Ionic bonds form when metals lose electrons and nonmetals acquire electrons.

Ions with opposing charges attract one other, forming an ionic connection.The full movement of electrons from one atom to another forms an ionic connection. When an atom loses one or more electrons, it transforms into a cation—a positively charged ion. An anion—a negatively charged ion—is formed when an atom gains one or more electrons. Ionic bond is the principal interaction in ionic compounds and includes the electrostatic attraction between oppositely charged ions or between two atoms with drastically differing electronegativities. Along with covalent bonding and metallic bonding, it is one of the three major forms of bonding. Ions are electrostatically charged atoms (or groups of atoms). When atoms gain electrons, they produce negatively charged ions (called anions). Atoms that lose their electrons produce positively charged ions (called cations).

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which unit is closest in size to the radius of an atom

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An atom's radius is well under 1 nanometer, or one billionth of a meter.

What is an atom?An atom is a matter particle that defines a chemical element uniquely. An atom is made up of a central nucleus and one or more negatively charged electrons. The nucleus is positively charged and contains one or more protons and neutrons, which are relatively heavy particles.An element is made up of only one type of atom. Atoms are further subdivided into subatomic particles known as electrons, protons, and neutrons. Chemical reactions allow elements to combine to form molecules.The distance between the nuclei of two identical atoms bonded together is used to calculate atomic radius. Atoms' atomic radius decreases from left to right across a period. Atoms' atomic radius generally increases from top to bottom within the atom.

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What are the five major developments and their experimentations and models of the atoms of Democritus, Aristotle, Dalton, Thomson, Rutherford, and Bohr?

Answers

The descriptions of atom models are provided by Democritus, Dalton, Thomson, Rutherford, and Bohr.

Democritus- Democritus postulated that atoms were unique to the substance of which they were a part. The concept was that you could create a tiny but similar piece if you divided a substance in two. The smallest representative part of your content should ultimately be attained if you continue to divide it into smaller and smaller pieces. The atom is that component.

Dalton- Dalton offered his atomic hypothesis based on all of his findings. It is frequently called the "billiard ball model." A particular entity's atoms have all the same size, mass, and other characteristics. Distinct elements' atoms have different mass, size, and other characteristics.

Thomson-  The atomic model proposed by Thomson states that an atom is composed of a positively charged sphere into which negatively charged electrons are inserted.

Rutherford- The structural properties of the elements was predicted by Rutherford. The atom was depicted in the model as having a nucleus, which is a small, tight, positively charged mass.

Bohr- He explained that an atom consists of a tiny, positively charged nucleus that is around by electrons that move in circular paths.

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Is NH3 and H2O polar or nonpolar?.

Answers

[tex]NH_{3}[/tex] (ammonia) and [tex]H_{2}O[/tex] (water) are both polar molecules and not nonpolar.

This is due to the difference in electronegativity between the atoms in each molecule.

Ammonia has a nitrogen atom, which has a higher electronegativity than the hydrogen atoms, resulting in a partial negative charge on the nitrogen atom and a partial positive charge on the hydrogen atoms.

Water, on the other hand, has two hydrogen atoms and one oxygen atom, with the oxygen atom having a higher electronegativity than the hydrogen atoms.

This results in a partial negative charge on the oxygen atom and a partial positive charge on the hydrogen atoms. The partial charges on the atoms in each molecule create an asymmetrical distribution of charge, making the molecules polar.

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Is PCl5 polar or nonpolar molecule?.

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PCl5 is a polar molecule. In order to determine whether a molecule is polar or nonpolar, we need to consider the arrangement of atoms within the molecule and the electron-pair geometry.

PCl5 is a symmetric molecule; it has a trigonal bipyramidal shape, which is characterized by the presence of five chlorine atoms around the central phosphorus atom. However, the electron-pair geometry around the phosphorus atom is only tetrahedral. This is because one of the pairs of electrons on the phosphorus atom is involved in forming a bond with a chlorine atom.

The symmetry of the molecule and the difference in electronegativity between the phosphorus and chlorine atoms result in a polar molecule. The chlorine atoms pull the electrons in the covalent bonds towards themselves, creating a partial negative charge on the chlorine atoms and a partial positive charge on the phosphorus atom. The net dipole moment of PCl5 is not zero, which confirms the polarity of the molecule.

In summary, PCl5 is a polar molecule due to the difference in electronegativity between the phosphorus and chlorine atoms and the asymmetry of the molecule. The electrons are pulled towards the chlorine atoms, creating a partial positive charge on the phosphorus atom and a partial negative charge on the chlorine atoms.

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Sig figs please help

Answers

Answer: The answer is A) 190

Explanation:

1.902 - 1.43 = 0.472

87.4 ÷ (0.472)

87.4 ÷ 0.472

87.4 ÷ 0.472 = 185.1694915254238

185.1694915254238

Round 185.1694915254238 to 190 (Sig Figs: 2)

I hope this helps!

help mi plss help me help mi pl​

Answers

A material's mass expressed in grams per mole of the chemical is known as its molar mass.

What is meant by molar mass?

The molar mass of a chemical compound is defined in chemistry as the relationship between a sample's mass and its substance content. The molar mass of a substance is a bulk property rather than a molecular property.

The molar mass of a material is its mass expressed in grams per mole of the chemical. The number of atoms, molecules, or ions in a substance is measured in terms of moles.

The molar mass of a chemical can be used to calculate its mass per mole. In other words, it provides the amount of grams in a substance per mole. As a result, molar mass is measured in grams/mole.

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What is meant by 2 h2o?.

Answers

Answer:

2 atoms of Hydrogen and 1 atom of Oxygen comprises to form the water molecule. To show the two atoms of Hydrogen we use subscript 2.

Explanation:

(⁠◕⁠ᴗ⁠◕⁠✿⁠)(⁠◕⁠ᴗ⁠◕⁠✿⁠)(⁠◕⁠ᴗ⁠◕⁠✿⁠)

when was the last time a third-party candidate won any electoral votes?

Answers

The last third-party candidate to win one or more states was George Wallace of the American Independent Party in 1968.

Who was George Wallace?

Born in Clio, Wallace attended the University of Alabama School of Law and served in the United States Army Air Corps during World War II. After the war, he won election to the Alabama House of Representatives and served as a state judge.He first sought the Democratic nomination in the 1958 Alabama gubernatorial election. Initially a moderate on racial issues, Wallace adopted a hardline segregationist stance after losing the 1958 nomination.

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List the following aqueous solutions in order of decreasing freezing point: 0. 040 m glycerin ( c3h8o3 ), 0. 020 m kbr , 0. 030 m phenol ( c6h5oh ).

Answers

Glycerine = Potassium Bromide > Phenol is  the aqueous solutions in order of decreasing freezing point.

Define freezing point

The freezing temperature of a liquid is the temperature at which it solidifies. The freezing point typically rises with increasing pressure, just like the melting point does. Combinations and some organic materials, like lipids, have freezing points that are lower than melting points.

Glycerine freezing results in a depression of 0.0744 degrees Celsius.

The freezing depression when using KBr is 0.0744 degrees Celsius.

The freezing point is lowered by phenol by 0.0558°C.

The amount by which the freezing point of the solvent will change when 1.00 moles of a non-volatile, nonionizing (no dissociating) solute dissolve in 1 kilogram of solvent is denoted by the term Kf, also known as the molal freezing point depression constant.

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What is the osmotic pressure of a 1.4 M aqueous solution of glycerin in water at 47 °C? Report your answer in atm and round to the second decimal place. Glycerin = C3H5(OH)3

Answers

Mole fraction of methanol is equal to moles of methanol divided by moles of glycerine. = 4.05 mol / (4.05 mol + 0.2555 mol). = 0.941.

We must first determine how many moles of methanol are present in the solution. The molar mass of methanol (32.04 g/mol) is used for this. 130 g / 32.04 g/mol equals 4.05 moles. Calculating the amount of glycerine in the solution is also necessary. The molar mass of glycerine (92.09 g/mol) is used for this. 23.5g/92.09g/mol is 0.2555 moles. The number of moles of a component divided by the total number of moles in the solution yields the mole fraction of that component. Mole fraction of methanol is equal to moles of methanol divided by moles of glycerine. = 4.05 mol / (4.05 mol + 0.2555 mol). = 0.941.

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14. Contrast how Beryllium and Fluorine will each follow the "octet rule." Be sure to explain how their charges are
affected by this change:

Answers

Since beryllium only possesses two valence electrons, exchanging electrons is often not how an octet rule is formed. Two solitary covalent bonds between the elements beryllium and hydride (BeH2) make up the Lewis structure of the gaseous compound.

What causes BeCl2 to break the octet rule?

Dots are used to represent the three pairs of unpaired electrons on chlorine. It only has three pairs of electrons in the valence shell of boron. Because some atoms do not have full octets, molecules like BeCl2 and BCl3 are referred to as electron deficient.

Does beryllium have a lower octet count?

It is known that beryllium can form compounds in which it is encircled by less than eight electrons. This is an acceptable solution because B Sulfur can hold more than an octet.

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Explain why AgNO3 solution is used to test the rinse water after the BaSO4 precipitate has been transferred to the filter paper

Answers

AgNO₃ solution is used to test the rinse water after the BaSO₄precipitate has been transferred to the filter paper. This is done to check if ions such as chloride ions are still present in the filtrate or not.

Two drops of silver nitrate (AgNO₃) solution are added to the filtrate to wash the barium sulfate precipitate. This is done to determine whether or not ions like chloride ions are still present in the filtrate.

White precipitate shows that the precipitate is still contaminated with chloride ions. If there are chloride ions in the filtrate, the appearance will be foggy. If there is still some cloudiness after three washings, repeat the process.

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when chlorine is bubbled through sodium hydroxide solution, it makes bleach, NaOCl.
how much chlorine is needed to covert 100g of sodium hydroxide solution into bleach?
2Na+Cl2 --> NaOCl+NaCl+H2O
relative atomic masses (Ar): Na=23 O=16 H=1 Cl=35.5
What is the mass of chlorine?

(Best answer = brainliest!!!)

Answers

The mass of chlorine that is needed to convert 100g of sodium hydroxide solution into bleach is 88.75 g.

What mass of chlorine is needed to convert 100g of sodium hydroxide solution into bleach?

The mass of chlorine that is needed to convert 100g of sodium hydroxide solution into bleach is determined from the equation of the reaction g9ven below:

2 NaOH + Cl₂ ---> NaCl + NaClO + H₂O

Based on the chemical equation, we need 2 moles of Sodium Hydroxide for every mole of Chlorine.

Molar mass of NaOH = 40 g/mol

Molar mass of Cl₂ = 71.0 g/mol

Mass of chlorine required = 100/40 * 1/2 * 71

Mass of chlorine required = 88.75 g of chlorine

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Please help!!! [picture provided]

Answers

Answer: All of the nonmetals are found to the right side of the zigzag line!

Explanation:

The little yellow highlighted zig-zag line separates the metals from the non-metals, the nonmetals can be found to the right of the line!!

How many molecules are in 2. 5 moles H2O?.

Answers

There are 1.5055 x10²⁴  molecules in 2. 5 mol of H₂O

To determine the total number of atoms or molecules in a sample, multiply the amount of moles by the Avogadro constant. The formula is as follows:

number of molecule= moles x avogadro's number

One mole of material has 6.022x10²³ atoms, and various gases in equal amounts that are measured at the same pressure and temperature each have the same number of molecules.

number of molecule= moles x avogadro's number

number of molecule= 2. 5 mol x  6.022x10²³

number of molecule= 1.5055 x10²⁴

Therefore, there are 1.5055 x10²⁴ molecules in 2. 5 mol of H₂O

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What is energy consumption in cloud?.

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Energy consumption in the cloud refers to the amount of energy used by data centers and other infrastructure that provide cloud computing services.

This includes the energy used to power servers, cooling systems, and networking equipment, as well as the energy used to transport data over networks.

As cloud computing has become increasingly popular, energy consumption has become a significant concern for both cloud providers and users, as the energy required to run data centers can be substantial. To mitigate this, cloud providers are investing in more energy-efficient technologies and practices, such as using renewable energy sources and implementing more efficient cooling systems.

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Please help ASAP

Which process requires the absorption of energy

Condensation
Depostion
Vaporization
Freezing

Answers

Answer: Condensation

Explanation:

Answer: Melting

Explanation:

Consider the reaction
2A + B C
-
(a) In the diagram here that represents the re-
action, which reactant, A or B, is the limiting reagent?
(b) Assuming complete reaction, draw a molecular-model representation of the amounts of reactants and products left after the reaction. The
atomic arrangement in C is ABA.

Answers

A is the limiting Reagent and C has 4 moles.

What is limiting reagent?

Limiting reagents are the reactants in a reaction that completely react and limit the amount of product that can be formed. When two reactants are present in a reaction, the limiting reagent will be the one that runs out first, thus limiting the amount of product that can be created.

(a) As per the given diagram,

The number of B atoms are = 5

the number of A atoms are = 8.

Given reaction,

2A+B → C

the Balanced equation show that,

2A        +      B      →      C

2 mol.       1 mol.      1 mol

two mols of "A reacts with 1 mole of B. So

for 5 atoms of B. We required 10 atoms of A. But given atoms of A are 8.

So → A is the limiting Reagent.

(b) After a complete reaction,  the  number of moles of C =  2A+B → C

As we check 'A' is our limiting Reagent.

So, 2A.       +     B.     →    C

    2 mol.      1 mol.     1 mol

As 2 mol of A give 1 mol of C

So, 8 mol of A will give 4 mol of C

we can also say  that 1mol of B gives 1 mol of C. So 4 moles of A give 4 moles of C.

A is the limiting reagent, so 8 moles of A will give 4 moles of C.

therefore, C moles = 4. 

Hence, A is the limiting Reagent and C has 4 moles.

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Which compound will precipitate when solutions of iron(ii) acetate, fe(c2h3o2)2, and potassium iodide (ki) are mixed?.

Answers

Iron(II) iodide will precipitate when solutions of iron(ii) acetate, fe(c2h3o2)2, and potassium iodide (ki) are mixed.

Define precipitate.

Precipitate is a solid that is created when a solution changes, frequently as a result of a chemical reaction or a shift in temperature that makes a solid less soluble. A precipitate in meteorology is either liquid or solid water.

Fe(C 2H 3O 2) 2 + KI → K(C 2H 3O 2 ) 2 + FeI 2

An insoluble substance that separates from a liquid solution is referred to as a precipitate. Precipitation is the process through which an insoluble solid emerges from a solution.

The inorganic substance iron(II) iodide has the formula FeI2. In organic processes, it serves as a catalyst. Iron (II) iodide is thought to be insoluble in aqueous solutions. We can categorize it as a precipitation reaction because of this.

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Glucose and fructose are simple carbohydrates with the molecular formula c6h12o6. Sucrose , or table sugar, is a complex carbohydrate with molecular formula c12h22o11 that consists of a glucose unit covalently linked to a fructose unit (a water molecule is released as a result of the reaction between glucose and fructose to form sucrose). Estimate the standard enthalpy of combustion of sucrose (in kj/mol) from the standard enthalpies of formation of the reactants and products.

Answers

The standard enthalpy of combustion is ΔHcombustion = ΔHf(products) - ΔHf(reactants) = -6353.8 kJ/mol - (-2218.2 kJ/mol) = -4135.6 kJ/mol.

How to estimate the standard enthalpy of combution of sucrose?To estimate the standard enthalpy of combustion of sucrose, we can use the standard enthalpies of formation of the reactants and products. Here are the steps to follow:Write out the balanced equation for the combustion of sucrose: C12H22O11 + 12O2 --> 12CO2 + 11H2OLook up the standard enthalpies of formation for each of the reactants and products. These can be found in tables of thermodynamic data.Use the equation ΔH combustion = ΔHf(products) - ΔHf(reactants) to calculate the standard enthalpy of combustion.The standard enthalpies of formation of reactants are C12H22O11 (sucrose) + 12O2(g) = -2218.2 kJ/mol + 0 kJ/mol = -2218.2 kJ/molThe standard enthalpies of formation of products are 12CO2(g) + 11H2O(l) = -3935.4 kJ/mol + -2418.4 kJ/mol = -6353.8 kJ/molTherefore the standard enthalpy of combustion is ΔHcombustion = ΔHf(products) - ΔHf(reactants) = -6353.8 kJ/mol - (-2218.2 kJ/mol) = -4135.6 kJ/mol.

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the stem of a meat thermometer shall be constructed of

Answers

They feature glass or metal stems and are liquid-filled thermometers. The colored liquid inside the stem expands and rises as the food's internal temperature rises, providing a scale-based indication of the temperature. False high readings can occur as a result of heat conduction in the metal stems.

What's the ideal amount of time to insert a bimetallic stemmed thermometer?For them to accurately record the temperature, it can take up to two minutes. The bimetal stem thermometer can precisely gauge the temperature of meals that are quite deep or thick, including beef roasts and items cooked in stockpots.They feature glass or metal stems and are liquid-filled thermometers. The colored liquid inside the stem expands and rises as the food's internal temperature rises, providing a scale-based indication of the temperature. False high readings can occur as a result of heat conduction in the metal stems.The colored liquid inside the stem expands and rises as the food's internal temperature rises, providing a scale-based indication of the temperature. False high readings can occur as a result of heat conduction in the metal stems.                      

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How many grams of sucrose are needed to make 150 mL of 0.5 M sucrose ?

Answers

To make 150 mL of 0.5 M sucrose, you need to add 75 grams of sucrose.

This is calculated by multiplying the volume (150 mL) by the molarity (0.5) and then multiplying that by the molecular weight of sucrose (342.3 g/mol). The equation looks like this:

150 mL × 0.5 M × 342.3 g/mol = 75 g sucrose

This is calculated by multiplying the volume of sucrose (150 mL) by the concentration (0.5 M) to get the total moles of sucrose needed, which is then multiplied by the molecular weight of sucrose (342 g/mol) to get the total grams of sucrose needed.

Therefore, 75 grams of sucrose is required to make 150 mL of 0.5 M sucrose.

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How would having too much sample in the melting point tube most likely affect a melting point measurement? The melting point will be lower than expected. The sample will thermally decompose.The melting point range will be broader than expected. The melting point range will be narrower than expected.

Answers

Putting too much sample in the melting point tube will likely result in a lower melting point value. as a result of the melting point temperature being lower than expected.

This is due to the fact that a sample with too much sample causes the heat to go down the tube more slowly, raising the measurement temperature and causing the sample to melt before it reaches its true melting point. Melting point is the temperature at which a substance changes state from a solid to a liquid (or, less frequently, liquefaction point). At the melting point, there is an equilibrium between the solid and liquid phases. A molecule is a collection of atoms with two or more bonded together by chemical bonds.

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B. Solution Reactions Solution Tested Solution Reaction Observation Ammonium Carbonate Unknown solution (D. 31)_______ ___________________________ Compare the flame test and solution reactions for the unknown to the observations in Procedure A. 1 and A. 2. Identify the alkali or alkaline earth element in the unknown solution; circle or underline one of the following: barium calcium lithium potassium sodium strontium

Answers

When testing the unknown solution (D. 31) with ammonium carbonate, the solution will react with the ammonium carbonate to form a white precipitate.

This indicates that the unknown solution contains an alkali or alkaline earth metal, such as sodium, potassium, calcium, strontium, or barium.

To identify the element present in the unknown solution, you can use a flame test or a solution reaction test. For the flame test, a small portion of the unknown solution is placed in a flame and the emitted light will be characteristic of the element present.

For the solution reaction test, a small portion of the unknown solution is mixed with a known solution of an alkali or alkaline earth metal and the reaction is observed. If a precipitate is formed, it indicates that the element present in the unknown solution is the same as the element present in the known solution. By comparing the observations from these tests with the observations in Procedure A. 1 and A. 2, you can identify the element present in the unknown solution.

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draw the structure of the organic product or products formed in the reaction.H2C=CH-CH=CH-CH2-Mg-Br

Answers

In the given reaction, H2C=CH-CH=CH-CH2-Mg-Br is Grignard's reagent which reacts with D2O to give H2C=CH-CH=CH-CH2-D and MgBrOH.

When H2C=CH-CH=CH-CH2-Mg-Br reacts with D2O the C-Mg bond donates its electron pair to a deuterium atom, forming H2C=CH-CH=CH-CH2-D and MgBrOH.

This occurs because the Carbon that is bonded with Mg is strongly nucleophilic and can attack a region of positive charge density such as a deuterium atom in a water molecule.

Grignard's reagents are highly reactive organomagnesium halides formed by the reaction of magnesium metal with alkyl or alkenyl halides.

It has a general formula of R-Mg-X where R is an organic group and X is a halogen which can be anything Chlorine (Cl), Bromine (Br), or Iodine (I).

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The mass number is always found by:

protons + electrons
protons + neutrons
neutrons + electrons
protons + neutrons + electrons

Answers

Answer: The answer is protons + neutrons!

Explanation: mass number = protons + neutrons.

Have a great day!

which metal oxides can react with carbonmonoxide in the same way as zinc oxide​

Answers

Answer:The reaction of zinc oxide with carbon monoxide forms the product zinc metal and carbon dioxide. Zinc oxide is reduced to metallic zinc and carbon monoxide is oxidized to carbon dioxide.

Explanation:

Carbon nitride is not good to breathe in

A substance made up of only silicon and chlorine contains 79. 1% mass % of chlorine. If the molar mass is 537. 8 g/mol, what is the molecular formula.

Answers

We first need to know the atomic weights of silicon and chlorine in order to obtain the empirical formula.Answer:Statistical SiCl3 ,Atomic Si2Cl6

What is the molecular formula ?

It has a chlorine content of 79.1%, therefore (100 - 79.1)% silicon equals 20.9% chlorine.

We first need to know the atomic weights of silicon and chlorine in order to obtain the empirical formula.

it is 35.5 and 28.

The percentage abundances are then divided by the corresponding atomic masses

explain,

Cl = 79.1/35.5 = 2.23

Si = 20.9/28 = 0.75

The result of this division by the smallest number is 0.75.

Cl = 2.23/0.75 = 3

Si = 0.75/0.75 = 1

SiCl3 is the empirical formula.

The molecular formula is as follows:

(28+3(35.5))n = 269

134.5n = 269

n = 269/134.5 = 2

Si2Cl6 is the molecular formula.

Answer:Statistical SiCl3 ,Atomic Si2Cl6

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This problem presents a comparison of the work required in adiabatic pumps and compressors. A. Saturated water vapor enters a steady-state compressor at P =1bar. Estimate the work required to compress this vapor up to P=10 bar and T=4000C. B. Saturated liquid water at P=1 bar enters a pump. Estimate the work required to pump the liquid up to P=10 bar, and estimate the temperature of the exiting liquid

Answers

The temperature of the exiting liquid will be equal to the temperature at the inlet, since the process is isentropic.

To estimate the work required to compress the saturated water vapor up to P = 10 bar and T = 4000C, you can use the ideal gas law.

The equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. Since the ideal gas law is based on the assumption that the gas behaves as an ideal gas, the temperature must remain constant while the volume is changing.

Thus, the work done is equal to the area under the PV curve, which can be calculated using the equation W = -nRT ln (V2/V1).

For the second part, the pump is operating isentropically, meaning that the entropy of the system does not change. The work done is equal to the change in enthalpy, which can be calculated using the equation W = h2 - h1. The enthalpies of the liquid water can be looked up in a thermodynamic property table.

The temperature of the exiting liquid will be equal to the temperature at the inlet, since the process is isentropic.

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Which statement best explains this graph?San Francisco has the highest cost of living of the threecities.Houston has the lowest cost of living of the three cities.Workers in San Francisco can get by on a lower salary.Workers in Cleveland face a greater struggle with a lowsalary In the figure (not drawn to scale), mA = 36, mB=108, mD=153. Find mC Find the area of the triangle below using the law of sines what enlightenment ideal influenced authors and philosophers such as voltaire? A national opinion poll found that 44% of all American adults agree that parents should be given vouchers that are good for education at any public or private school of their choice. The result was based on a small sample. How large an SRS is required to obtain a margin of error of 0.03 (that is, +3%) in a 99% confidence interval? Answer this question using the previous poll's result as the guessed value for p t (minutes) 0 4 9 15 20 W t( ) (degrees Fahrenheit) 55.0 57.1 61.8 67.9 71.0The temperature of water in a tub at time t is modeled by a strictly increasing, twice-differentiable function W, where W t( ) is measured in degrees fahrenheit and t is measured in minutes. At time t = 0, the temperature of the water is 55 F. The water is heated for 30 minutes, beginning at time t = 0. Values of W t( ) at selected times t for the first 20 minutes are given in the table above. (a) Use the data in the table to estimate W( ) 12 . Show the computations that lead to your answer. Using correct units, interpret the meaning of your answer in the context of this problem. (b) Use the data in the table to evaluate ( )20 0 W t dt . Using correct units, interpret the meaning of ( ) 20 0 W t dt in the context of this problem. (c) For 0 20, t the average temperature of the water in the tub is ( ) 20 0 1 . 20 W t dt Use a left Riemann sum with the four subintervals indicated by the data in the table to approximate ( ) 20 0 1 . 20 W t dt Does this approximation overestimate or underestimate the average temperature of the water over these 20 minutes? Explain your reasoning. (d) For 20 25, t the function W that models the water temperature has first derivative given by Wt t t ( ) = 0.4 cos 0.06 . ( ) Based on the model, what is the temperature of the water at time t = 25 ? a customer service representative must sped different amounts of time with each customer to resolve various concerns the amount of time spent with each customer can be modeled by the following distribution find the percentile he percent mass of oxygen in acetic acid, CH3COOH, is: 3. Which of the following would NOT be a factor that affects which products a retailer choosesto select to offer in a store?A. Local customer preferencesB. Manufacturer incentivesC. Employee preferencesD. The store's locationailor's What does Mr Shiftlet consider the rottenness of the world?. economic well-being and the quality of life improve when businesses create more jobs because blank . Is Xsquare 2 2 Xsquare a polynomial?. a model of a car is 4 inches long. if the actual car is 10 feet long, find the scale of the model. a. 4 in Determine the location { x }_{ c }x c of the centroid of the solid made from a hemisphere, cylinder, and cone.Given:a = 8080 mmmmb = 6060 mmmmc = 3030 mmmmd = 3030 mmmm how to find the GCF and re write a sum using GCF and the distributive property? FILL IN THE BLANK Entrepreneurs take on the challenges and risks of starting a business because it offers the freedom to make their own ______ , opportunities, and wealth. what education will the nurse provide a newly pregnant patient in order to decrease exposure to a known teratogen which three of the following have played the greatest role in the evolving nature of presidential power? a trader has two beverages A & B in buckets of 24l and 27l .She repacks the beverage in bottles of the same sizes. Calculate the least number of bottles she can obtain What is the zero of PX x2 6x9?.