3.4 x 10^23 atoms of potassium to grams

Answers

Answer 1

To solve this problem, we must take into account Avogadro's number. Avogadro's number tells us that in one mole of any substance there are 6.022x10^23 atoms. Applying this relationship we have that the moles of potassium (K) are:

[tex]\begin{gathered} molK=givenatomsK\times\frac{1molK}{6.022\times10^{23}atoms} \\ \end{gathered}[/tex][tex]\begin{gathered} molK=3.4\times10^{23}atomsK\times\frac{1molK}{6.022\times10^{23}atoms} \\ molK=0.6molK \end{gathered}[/tex]

Now, to go from moles to grams, we must multiply the moles by the molar mass of potassium. The molar mass of potassium is 39.1g/mol. So, the grams of potassium will be:

[tex]gK=givenmolK\times\frac{MolarMass,gK}{1molK}[/tex][tex]\begin{gathered} gK=0.6molK\times\frac{39.1gK}{1molK} \\ gK=22.1gK \end{gathered}[/tex]

Answer: In 3.4x10^23 atoms of potassium there are 22.1 grams


Related Questions

do eukaryotic Cells have DNA found in the nucleus. True or false​

Answers

the answer is true, they do have dna found in the nucleus

Sodium and lithium have similar chemical properties. What characteristics of these elements explain why they are chemically similar?.

Answers

Sodium and lithium have similar chemical properties because both sodium and lithium have one valence electron

Chemical properties is the characteristics of particular substances that can be observed in a chemical reaction and the valence shell electrons in an atom determine the way it will interact with neighboring atoms and therefore determine its chemical properties and both sodium and lithium have one valence electron they share similar chemical properties and element sodium and lithium belong to group IA of the periodic table and the main characteristics is the a single electron in their outermost shell

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- Lead acid batteries used in cars contain a concentrated
solution of sulfuric acid. When these batteries are
recycled, their sulfuric acid is drained and neutralized to
produce water and sodium sulfate. Suggest a compound
that could be used to neutralize sulfuric acid and produce
sodium sulfate. Justify your choice by writing the chemical
equation for the reaction.

Answers

As per the chemical reaction ,sodium hydroxide can be used for neutralization of sulfuric acid as,2 NaOH+H₂SO₄[tex]\rightarrow[/tex]Na₂SO₄ +2 H₂O.

What are chemical reactions?

Chemical reactions are defined as reactions which occur when a substance combines with another substance to form a new substance.Alternatively, when a substance breaks down or decomposes to give new substances it is also considered to be a chemical reaction.

There are several characteristics of chemical reactions like change in color, change in state , change in odor and change in composition . During chemical reaction there is also formation of precipitate an insoluble mass of substance or even evolution of gases.

There are three types of chemical reactions:

1) inorganic reactions

2)organic reactions

3) biochemical reactions

During chemical reactions atoms are rearranged and changes are accompanied by an energy change as new substances are formed.

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substances like xenon , which is a gas at room temperature and pressure, can often be liquified or solidified only at very low temperatures. at a pressure of , does not condense to a liquid until and does not freeze until . what are the equivalent absolute temperatures? to condense: k

Answers

The equivalent absolute temperature when it condenses will be 27.25K. and freezes at 24.65K.

To find equivalent absolute temperatures we have to use the following equation:

0°C + 273.15 = 273.15K

The main idea is to convert degree Celsius to Kelvin.

In this manner, we are going make utilize of the over condition and space within the values for at degree Celsius at which it condenses and at degree Celsius at which it solidifies.

So, the temperature at which it condenses:

-245.9°C + 273.15 = 27.25K.

Also, the temperature at which it freezes.

-248.5°C + 273.15 = 24.65K.

Absolute temperature is utilized in the application of the perfect gas law and numerous other laws of thermodynamics.

A scale for outright temperature with degree units the same as on the Celsius scale is known as the Kelvin scale; the temperature scale utilizing Fahrenheit degree units is the Rankine scale.

Appropriately, a temperature distinction of one degree on the Celsius scale compares to a temperature contrast of one degree on the Kelvin scale; additionally for the Fahrenheit and Rankine scales.

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Although part of your question is missing, you might be referring to this full question:

Substances like neon, which is a gas at room temperature and pressure, can often be liquified or solidified only at very low temperatures. At a pressure of 1 atm, Ne does not condense to a liquid until -245.9°C and does not freeze until -248.5°C. What are the equivalent absolute temperatures?

To condense: __K

To freeze: __ K

Facts for Globalization?

Answers

Answer:

Globalization has many benefits, such as the increased flow of goods, services, capital, and people across borders. This has resulted in increased trade and investment, which has led to higher economic growth rates and improved standards of living around the world.

Explanation:

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Which of the following Periodic Table trends (characteristics) is incorrect?

a) electron affinity decreases from top to bottom on the periodic table
b) electronegativity decreases left to right across the periodic table
c) atomic radii decreases left to right across the periodic table
d) ionization energy decreases from top to bottom on the periodic table

Answers

(b) electronegativity decreases left to right across the periodic table

Electronegativity increases from left to right in a period across the periodic table.

Electronegativity is a relative property that defines the tendency to attract shared pair of electrons. It is a unitless parameter that is calculated by different formulae.

Pauling scale is widely used to calculate the electronegativity values of a covalent bond. e.g. F = 4.0, Cl = 3.0, etc.

⇒Electron affinity decreases from top to bottom in the periodic table.

⇒Atomic radii decrease from left to right in the periodic table.

⇒Ionization energy decreases from top to bottom in the periodic table.

If 0. 75 g of a monoprotic weak acid required 22. 50 ml of 0. 510 m naoh to titrate it, what is the molar mass of the acid?.

Answers

The molar mass of the acid is  65 g/mol.

What is the molar mass of the acid?

We know that the term neutralization is applied to the reaction between an ad and a base that produces salt and water only. In this case, we have been told that  a monoprotic weak acid required 22. 50 ml of 0. 510 m sodium hydroxide to titrate it.

Let us recall that by the principle of the stoichiometry of the chemical reactions, the reaction between sodium hydroxide and a monoprotic acid has to be one is to one and we have to bear this in mind.

Thus;

Number of moles of sodium hydroxide = 22. 50/1000 L *  0. 510  M

= 0.0115 moles

This implies that 0.0115 moles of the acid was required also.

Since;

Number of moles = mass/molar mass

Molar mass =  mass/Number of moles

Molar mass =  0. 75 g /0.0115 moles

= 65 g/mol

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Are other metals also suitable for obtaining copper out of oxide copper?

Answers

Answer: Yes

Explanation: More reactive metals in the reactivity series can displace copper from copper oxide just leaving copper on its own after the reaction. But usually, carbon is used to displace copper as its safe and more reactive.

Alanine is a member of the twenty key amino acids that are used by our bodies to make proteins. Is this a chiral molecule?.

Answers

Alanine is a member of the twenty key amino acids which might be used by our bodies to make proteins: Pyrrolysine (not utilized in human protein synthesis). of those 20 amino acids, nine amino acids are crucial: Phenylalanine. Valine. Tryptophan.

Alanine is an amino acid that is used to make proteins. it's miles used to break down tryptophan and diet B-6. it's miles a source of power for muscle mass and the central fearful gadget. It strengthens the immune device and helps the frame use sugars.

Alanine, or α-alanine, is an α-amino acid this is used in the biosynthesis of proteins. It contains an amine organization and a carboxylic acid organization, both connected to the valuable carbon atom which also contains a methyl institution facet chain. Alanine is an amino acid this is used to make proteins. it's miles used to interrupt down tryptophan and diet B-6. it's miles a supply of electricity for muscle tissue and the critical apprehensive gadget. It strengthens the immune system and allows the frame to use sugars.

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The seven diatomic elements (exist as two atoms bonded together in nature) are hydrogen (H2), Nitrogen (N2), Oxygen (O2), Fluorine (F2), Chlorine (C2), Iodine (I2) and Bromine (B2). Based on the position of the seven elements that are diatomic when pure in nature and the trends of the periodic table, which of the following characteristics would not describe them?

a) Smaller Atomic Radius
b) High Metallic Character
c) High Ionization Energy
d) High Electron Affinity

Answers

Answer:

Smaller Atomic Radius, High Ionization Affinity, and High Electron Affinity

[Note:  It is Br2, not B2, the bomber]

Explanation:

a) Smaller Atomic Radius  YES  Each of these elements have a high number of electrons that nearly fill the lower energy orbitals, forcing the protons in the nucleus to cluster togeter more tightly.

b) High Metallic Character NO

c) High Ionization Energy    YES  - They want to keep their electrons, so the ionization energy is high.

d) High Electron Affinity  YES  They attract electons from anything that comes nearby.

how does the specific heat capacity of water compare with the specific heat capacities of other common materials? how does the specific heat capacity of water compare with the specific heat capacities of other common materials? the specific heat capacity of water is very low in comparison with other common materials. the specific heat capacities of water and other common materials are approximately the same. the specific heat capacity of water is very high in comparison with other common materials.

Answers

Liquid water has one of the highest specific heat capacities among common substances, about 4184 J⋅kg−1⋅K−1 at 20 °C; but that of ice, just below 0 °C, is only 2093 J⋅kg−1⋅K−1. The specific heat capacities of iron, granite, and hydrogen gas are about 449 J⋅kg−1⋅K−1, 790 J⋅kg−1⋅K−1, and 14300 J⋅kg−1⋅K−1, respectively.

The amount of heat required to increase the temperature of 1 gram of a substance by 1 degree Celsius (°C) is known as specific heat. Since water has a higher specific heat than other substances, it requires more energy to raise its temperature.

The heat capacity of a sample of a substance is divided by the mass of the sample to produce the specific heat capacity (symbol cp), also known as massif heat capacity. Informally, it is the quantity of heat that must be added to one unit of a substance's mass in order to raise its temperature by one unit. joule per kelvin per kilogram is the specific heat capacity unit in the SI.

A substance's specific heat capacity may be substantially higher when heated in an open vessel that permits expansion than when heated in a closed vessel that prevents expansion, especially when the substance is a gas (specific heat capacity at constant pressure) (specific heat capacity at constant volume).

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It is easier to separate liquids that have boiling points within a range of 5 degrees than it is liquids that have boiling points within a range of 10 degrees true or false?.

Answers

The given statement exists as false. The temperature at which a liquid's vapor pressure equals the pressure of the gas above it exists comprehended as the boiling point of the liquid.

What is meant by boiling point?

The temperature at which a liquid's vapor pressure equals the pressure around it and the liquid transforms into a vapor is known as the boiling point of a substance. A liquid's boiling point varies depending on the atmospheric pressure in the area.

The temperature at which a liquid's vapor pressure equals the pressure of the gas above it exists comprehended as the boiling point of the liquid. The temperature at which a liquid's vapor pressure equals one atmosphere is considered the liquid's typical boiling point (760 torr).

The element with the lowest temperature at which an element would smolder is helium, and the element with the highest temperature is tungsten. The melting point is measured in degrees Celsius (C).

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which of the following is true about all spontaneous processes? a) it releases energy as heat. b) it will occur quickly. c) it will continue on its own once begun. d) it is never endothermic.

Answers

C) It will continue on its own once begun is true for spontaneous processes.

What is spontaneous process?A spontaneous process is one that takes place without the system receiving any outside input. The system which releases free energy and transitions to a lower, more thermodynamically stable energy state is a more technical definition.The sign convention for changes in free energy is as follows: a release of free energy from the system corresponds to a negative change in the system's free energy and a positive change in the surrounding free energy.Spontaneous processes do not require an external energy source because they are known to be characterized by a decrease in the system's free energy.Spontaneous processes are characterized by a rise in entropy in isolated systems when no energy is exchanged with the environment.Chemical reactions that occur spontaneously in the context of interest are referred to as spontaneous reactions.

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How many electron clouds does an element with 29 protons have?

Answers

Answer:

5, the last would be incomplete

Explanation:

The first, inner cloud has 2 electrons, then 8, then 8, then 8, then 3.

problems of using ionic compound and covalent compound in domestic​

Answers

Answer:

Problems of Using Ionic and Covalent Compounds in Medicine

Stomach pain.

Nausea.

Vomiting.

Heartburn.

Gas.

Constipation.

Diarrhea.

why there is only one sodium ion for every chlorine ion, while there are two potassium ions for every oxygen ion?

Answers

There is only one sodium ion for every chlorine ion due to its valency.

The number of electrons that an atom needs to lose or gain in order to achieve a stable electron configuration i.e the octet of an element is known as the valency of an element, which serves as a gauge of that element's potential for combining.

The valency of Sodium (Na) is 1 and that of chlorine (Cl) is also one. therefore they combine to form a stable compound. The same rule follows in the compound formed by Potassium (K) and Oxygen(O) also. The valency of oxygen is 2 which means that it should be surrounded by 2 potassium ions to provide electrons to fulfill both the elements' octets.

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What is the density of an object with a mass of 17.6g and a volume of 6 mL

Answers

Answer: 3.6 ml

Hope this helps!

5. What percent of CuCl₂ is Cu?

Answers

Answer: The mass percent of copper in copper chloride is 47.23 %.

How do scientists predict the polarity of molecules?

Answers

When a molecule lacks polar bonds, there is no permanent charge difference between parts of the molecule, and the molecule is nonpolar.

Because the electron charge on both atoms is identical, the Cl2 molecule has no polar bonds. As a result, it is a nonpolar molecule. Hydrocarbons are nonpolar molecular substances because none of the bonds in hydrocarbon molecules, such as hexane, C6H14, are significantly polar.

The molecule is nonpolar if the arrangement is symmetrical and the arrows are of equal length. The molecule is polar if the arrows are of different lengths and do not balance each other. The molecule is polar if the arrangement is asymmetrical.

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methane gas (ch4) reacts with oxygen (o2) to produce water vapor and carbon dioxide. what volume of water (h2o) and carbon dioxide (co2) will be formed from the complete reaction of 3 l of methane with oxygen if all the gases are held at the same temperature and pressure? group of answer choices

Answers

Thus, the consumption of 3 L of O₂ will produce 1.5 L of CO₂.

Is methane gas harmful to humans?

Methane is non-toxic and poses no danger when inhaled in small amounts, but if significant amounts of the gas are allowed to replace air, the lack of oxygen could cause suffocating.

Briefing:

In the reaction, CH₄+2O₂⇒CO₂+2H₂O

2 moles of O₂ consumption will produce 1 mole of CO₂.

In the gaseous phase, the relationship between the amount of compound and the volume is:  PV=nRT

The volume and the amount of the gaseous compound are proportionate at the same temperature and pressure.

Thus, the consumption of 3 L of O₂ will produce 1.5 L of CO₂.

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1. State the general period and group trends among
main-group elements with respect to each of the
following properties:
a. atomic radii
b. first ionization energy
c. electron affinity
d. ionic radii
e. electronegativity

Answers

The general period and group trends among the main-group elements with respect to each of the following properties are as follows:

atomic radii - increase down the group; decrease across a periodfirst ionization energy - decrease down the group; increase across a periodelectron affinity - decrease down the group; increase across a periodionic radii - increase down the group; decrease across a periodelectronegativity - decrease down the group; increase across a period

What are periodic trends?

Periodic trends are the trends followed by the properties of the elements going down a group or across a period in the periodic table.

The properties of elements that show periodic trends include:

a. atomic radii - the size of an atom of an element

b. first ionization energy - the energy required to remove a valence electron

c. electron affinity - the energy required to add an electron to a neutral atom

d. ionic radii - the size of the ion of an element

e. electronegativity - the ability to attract electrons

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how does water help macromolecules carry out their functions

Answers

Water serves as a reaction reagent or mediates ligand–protein and protein–protein interactions. Water molecules are small enough to penetrate a macromolecule's core, to stabilise its native structure and also to participate in processes occurring in the protein's core

After Jenny finished collecting her data, she made the following table.

Toy Car Experiment
Distance Traveled
(meters) Total Time
(seconds)
10 7
20 14
30 21
40 28
50 35
60 42

Which of the following is true?
A.
It took the car less time to travel the first 10 meters than it did to travel the last 10 meters.
B.
The car was moving during the first 10 meters, but it was not moving during the last 10 meters.
C.
It took the car the same amount of time to travel the first 10 meters as it did to travel the last 10 meters.
D.
It took the car more time to travel the first 10 meters than it did to travel the last 10 meters.
Reset Submit

Answers

The true statement is: It took the car the same amount of time to travel the first 10 meters as it did to travel the last 10 meters (Option C)

How to determin which statement is true

The following data were obtained from the question:

Distnce travelled: 10 20 30 40 50 60Time taken: 7 14 21 28 35 42

Now, we shall determine the time taken to travel the first 10 m. This is shown below:

Distance = 10 - 0 = 10 mTime = 7 - 0 = 7 s

Next, we shall determin the time taken to travel the last 10 m. This is shown below:

Distance = 60 - 50 = 10 mTime = 42 - 35 = 7 s

From the above illlustration, we can see clearly that it took the car the same time to travel the first 10 m and the last 10 m.

Thus, the true statement is option C: It took the car the same amount of time to travel the first 10 meters as it did to travel the last 10 meters

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a 1.80 m solution of nitrous acid is prepared. find the percent ionization. a second solution is prepared in the same manner except the solution also contains 0.71 m potassium nitrite. find the percent ionization. how much did the percent ionization decrease with the addition of the common nitrite ion?

Answers

The percent ionization in the nitrous acid solution is 1.97% before, and 0.0999% after the addition of sodium nitrate, which lowered the ionization 19.7 times.

To calculate percent ionization, we need to use the expression for the acidity constant of nitrous acid:

[tex]Ka = \frac{[H^{+} ][NO_{2} ^{-} ]}{[HNO_{2} ]}[/tex]

Ka - acidity constant (for nitrous acid, 7.1 * 10⁻⁴)

[H⁺] - concentration of H⁺ ions

[NO₂⁻] - concentration of nitrite ions

[HNO₂] - concentration of unionized nitrous acid

[H⁺] = [NO₂⁻]

[HNO₂] = 1.80 M - X

[tex]7.1 * 10^{-4} = \frac{X^{2} }{1.80 - X}[/tex]

When we transform the equation above, we get a quadratic equation:

X² + 7.1 * 10⁻⁴X - 12.78 * 10⁻⁴ = 0

Once we solve for X, we get:

X = 0.0354 M

Because the concentration of H⁺ ions (X) is equal to the concentration of the ionized nitrous acid, the percent ionization will be:

%ion = 100% * X / 1.80 M

%ion = 100% * 0.0354 M / 1.80 M

%ion = 1.97%

The second calculation is actually easier because we can safely assume that, with added sodium nitrite, all nitrite ions come from the salt, and the amount coming from the acid is negligible. With that in mind, the expression for the acidity constant will look like this:

[tex]7.1 * 10^{-4} = \frac{X * 0.71 }{1.80 M - X}[/tex]

When rearranged, we get this equation:

0.71 * X = 12.78 * 10⁻⁴ M - 7.1 * 10⁻⁴X

0.71071 X = 12.78 * 10⁻⁴ M

X = 12.78 * 10⁻⁴ M / 0.71071

X = 0.001798 M

%ion = 100% * 0.001798 M / 1.80 M

%ion = 0.0999%

So the addition of sodium nitrite resulted in 1.97 / 0.0999 = 19.7 times lower ionization of the nitrous acid.

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in part 2 of the experiment, you will be analyzing a sample of household bleach. a 0.0854 g sample of household bleach is completely reacted with ki(s). the resulting solution is then titrated with 0.150 m nas2o3 solution. 0.890 ml of the solution is required to reach the colorless endpoint. what is the mass percent of naocl (mm

Answers

There is  5.8 %  of NaOCl in the sample.

The oxidation of hypochlorite is the first process, which goes as follows:

OCl^- + 2I^- + 2H^+ -----> I2 + Cl2 + H2O

Iodine and sodium thiosulfate react in the second stage as follows:

I2 + 2NaS2O3 -----> Na2S4O6 + 2NaI

Thiosulfate moles = 0.150 M * 0.890/1000 L = 1.335 * 10-4 moles.

Since 2 molecules of thiosulfate react with 1 mole of I2,

1.335 * 10-4 moles of thiosulfate and x moles of I2 react.

x = 1.335 * 10-4 moles/2 moles times one mole.

Iodine equivalent to 6.675 x 10-5 moles

6.675 * 10-5 moles of hypochlorite were reacted because 1 mole of hypochlorite yields 1 mole of iodine.

Therefore, the mass of NaOCl is equal to 4.97 * 10-3 g (6.675 * 10-5 moles * 74.44 g/mole).

5.8% of NaOCl is equal to 4.97 * 10-3 g/0.0854 g * 100/1.

NaOCl makes up 5.8% of the sample.

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At standard temperature and pressure, a 0. 50 mol sample of h2 gas and a separate 1. 0 mol sample of o2 gas have the same.

Answers

0.50 mol of H₂ and 1.0 mol of O₂ have the same average molecular kinetic energy at standard temperature and pressure

Mass of H₂ and O₂ can be found by the formula given below;

m=n × M

mass of H₂= 0.50 × 2= 1g

mass of O₂=1.0 ×16= 16g

The formula to find average kinetic energy is as follows

K=[tex]\frac{3}{2}[/tex]K[tex]B}[/tex]T where K[tex]{B}[/tex]= Boltzmann constant

According to the conditions given above i.e standard temperature and pressure.

K∝T

So it is independent of the quantity of the sample i.e how much the amount of sample is present.  

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phenylacetic acid (c6h5ch2cooh) builds up in the blood of phenylketonurics. when left untreated, this can lead to intellectual disability, seizures, behavioral problems, and even death. a 0.12 m solution has a ph of 2.62. what is the ka of phenylacetic acid?

Answers

The [tex]K_{a}[/tex] of phenylacetic acid is  4.76008×[tex]10^{-5}[/tex], when the pH of the solution is 2.62.

As we know,

pH = -log[[tex]H^{+}[/tex]]

[[tex]H^{+}[/tex]] = [tex]10^{-pH}[/tex]

[[tex]H^{+}[/tex]] = [tex]10^{-2.62}[/tex]

[[tex]H^{+}[/tex]] = 2.39×[tex]10^{-3}[/tex]

Also to find [tex]K_{a}[/tex] of phenylacetic acid we know another relation as:

[[tex]H^{+}[/tex]] = [tex]\sqrt{K_{a} .c}[/tex]

2.39×[tex]10^{-3}[/tex] =  [tex]\sqrt{K_{a} .0.12}[/tex]

[tex]K_{a}[/tex] = 4.76008×[tex]10^{-5}[/tex]

Therefore, the [tex]K_{a}[/tex] of phenylacetic acid is  4.76008×[tex]10^{-5}[/tex], when the pH of the solution is 2.62.

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Based on its electron configuration, which element will most likely gain electrons from another element when forming an ionic compound?.

Answers

The element that is able to gain electrons and form an ionic bond is Iodine.

What is an ionic bond?

The term ionic bond has to do with the kind of bond that is formed between a metal and a non metal. In this type of bond, there is a transfer of electrons from the metal to the non metal. s such the metal would become positively charged while the non metal would become negatively charged as we can see in the crystal of the ionic compound.

We just have to look at the string of elements that we have been given because, this is how we can be able to make a decision about which of the elements would be able to gain an electron. While doing this, we must keep in kind that it is only the non metal that are able to gain electron within the context of forming an ionic bond.

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Missing parts;

Based on its electron configuration which element will most likely gain electrons from another element when forming an ionic compound? Potassium , Vanadium, Iodine, Xenon

The _______ the number of theoretical plates, the _______ the separation of a mixture of two liquids.

Answers

The N=(tR/σ)2 the number of theoretical plates, the distillation the separation of a mixture of two liquids.

Is more theoretical plates better?

The effectiveness of a column is frequently determined using the number of theoretical plates. The range of plate numbers is 100 to 106. The quality of the separation improves with the number of theoretical plates present in a column because more equilibrations between the stationary and mobile phases are possible.

Why are theoretical plates important?

The effectiveness of a column's column is closely tied to theoretical plates in column chromatography. It can therefore help to increase resolution, which, when all other factors are held constant, is directly proportional to the square root of the number of theoretical plates.

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What type of evidence can be pulled from both a computer and a portable device?
O Images
O Text history
O GPS coordinates
O Phone call data

Answers

Type of evidence can be pulled from both a computer and a portable device is images, text history, GPS coordinates

Computer is the machine that can store and process the information and it is an electronic device that manipulate information or data and type of  evidence can be pulled and collected from digital device is

Computer documentsEmailsText and instant messages,TransactionsImagesInternet histories

The above all examples of information that can obtained from electric devices

Therefore, the digital evidence can be pulled from both a computer and a portable device is  images, text history, GPS coordinates

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Describe how your three treatments improved the diffusion rate in your patients lungs. Include concentration difference, diffusion distance, concentration gradient, and surface area and in your answer. Logos pathos and ethos are Rhetorical appealsObjective appeals Personal appeals Logical appeals An item is regularly priced at $35. Lena bought it on sale for 20% off the regular price. How much did Lena pay? What is the 100th term of the arithmetic sequence below? 2x, 3x + 4, 13x - 1 The part of perception that is controlled by our beliefs and expectations about how the world is called ____________. Which of the following are roots of the polynomial function?Check all that apply.F(x) = x3 + 3x2 - 9x+5A. 1 - 13B. 3 - 2C. 1D. 1. 13E. 3 + 2F. -5 At a point 125 feet from the base of a building, the angle of elevation to the third floor is 22. What is the height of the third floor?A 53.9 feetB 14,124 feetC. 50.5 feetD. 333.3 feet in countries like cambodia or nigeria roads and driving patterns follow a more fluid pattern. this is an example of which cultural system? group of answer choices Select all statements that are true about equilateral triangle ABC. nd in Atlanta you decide to drive around the city. You turn a corner and are driving up a steep hill. Suddenly, a small boy runs out on the street chasing a ball. You slam on the brakes and skid to a stop leaving a 50-foot-long skid mark on the street. The boy calmly walks away but a policemen watching from the sidewalk walks over and gives you a speeding ticket. He points out that the speed limit on this street is 25mph. After you recover your wits, you begin to examine the situation. You determine that the street makes an angle of 25with the horizontal and that the coefficient of static friction between your tires and the street is0.80. You also find that the coefficient of kinetic friction between your tires and the street is 0.60. Your cars information book tells you that the mass of your car is 1600 kg. You weigh 140 lbs. Will you fight the ticket Insert commas where necessary: Mrs. Ortega won more votes than Mr. Harris Miss Steinberg or Dr. Gladstone. Which response is the best response to the following questions?Son estos tus libros?a. S, esos mis librosb. S, esos libros son mosc. S, esos mos son libros which of the relationships below represents a function with the same rate of change of the function y= -4x + 2 Box #1 options is: A.true B.falseBox #2 options are: A.true B.falseBox #3 options are: A.enough B.not enough For the line that passes through Y(3,0), parallel to DJ with D(-3,1) and J(3,3), complete the following: Find the slope. Write an equation in point-slope form. Graph the line.Slope:Point-slope form: consider triangle 1 and triangle 2for which value of Q would the two triangles be similar - 136 -105 -75-31 Find the value of x for which i II m? a bicycle path and a road cross at right angles. a police woman stands on the road 70 meters south of the crossing and watches an eastbound cyclist traveling at 6 meters per second. at how many meters per second is the cyclist moving away from the police woman 4 seconds after passing the intersection? Can anyone help me out Question 10 of 10Question 10Find the Error One cleaning solution uses 1 part vinegar with 2 parts water. Another cleaning solution uses 2 parts vinegar with 3 parts waterA student says that these mixtures are equivalent because, in each solution, there is one more part of water than vinegar. Find the error andcorrect it.In the first cleaning solution, the ratio of vinegar to water ishowever, has a ratio ofNeed help with this question?Check AnswerThe ratios2022 McGraw Hill All Rights Reserved Privacy Center Terms of UseThe second solution.equivalentDone and