Which model could represent a neutral atom of boron?
A. 4
B. 3
C. 1
D. 2

Which Model Could Represent A Neutral Atom Of Boron?A. 4B. 3C. 1D. 2

Answers

Answer 1

Answer: The option B. 3 is the answer.

Explanation:

Boron has an Atomic mass of 11 and 5 protons and 6 Neutrons.

The Electrons are also in the correct positions to be a boron atom.


Related Questions

if the theoretical yield for a reaction is 54.9 g and 51.3 g of product are actually obtained, the percent yield is a) 0.934%. b) 93.4%. c) 107%. d) 3.60%. e) not enough information given

Answers

The theoretical yield for a reaction is 54.9 g and 51.3 g of product are actually obtained, the percent yield is a 93.4, option (b) is correct.

What is reaction?

One or more chemicals, sometimes referred to as reactants, are changed into one or more new substances, referred to as products, during a chemical reaction.

What is product?

Upon completion of a chemical reaction, a substance is said to be a product. The zinc and sulfur reactants in the equation above mix chemically to create the zinc sulfide product.

% yield = (actual yield/ theoretical yield )  X 100

            = ( 51.3/54.9 ) X 100

            =  93.4

Therefore, the theoretical yield for a reaction is 54.9 g and 51.3 g of product are actually obtained, the percent yield is a 93.4, option (b) is correct.

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pressure has little effect on the solubility of liquids and solids because they are almost incompressible. True or False

Answers

Pressure has little effect on the solubility of liquids and solids because they are almost incompressible True.

Liquids and solids show little change in solubility with changes in pressure. As expected, gases increase in solubility with increasing pressure. Henry's Law states that the solubility of a gas in a liquid is directly proportional to the pressure of that gas above the surface of the solution.

External pressure has little effect on liquid and solid solubility. In contrast, the solubility of a gas increases as the partial pressure of the gas above the solution increases.

Solubility is a measure of the concentration of dissolved gas particles in a liquid and is a function of gas pressure. Increasing the gas pressure increases the number of collisions and increases the solubility, and decreasing the pressure decreases the solubility.

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write a net ionic equation for the reaction that occurs when aqueous solutions of sodium hydroxide and perchloric acid are combined. (use h instead of h3o .)

Answers

To write the net ionic equation for the reaction that occurs when aqueous solutions of sodium hydroxide and perchloric acid are combined, first perform the complete ionic equation and then identify and eliminate the ions that do not participate.

What is a net ionic equation?

A net ionic equation shows only the chemical species involved in the reaction

A net ionic equation is written with the smallest possible integer values as stoichiometric coefficients.

Chemical equation

HClO4 (l) + NaOH (aq) → NaClO4 (aq) + H2O (l)

Net ionic equation

H+(aq) + OH−(aq) → H2O(l)

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What is percent composition of Carbon in Carbon dioxide (CO₂)?

Answers

Answer: Carbon dioxide (CO‚) is composed of one carbon atom and two oxygen atoms. Therefore, the percent composition of carbon in carbon dioxide is approximately 33.3%.

Explanation:

- Predicting What is the product of the
synthesis reaction between magnesium
and iodine? Explain your answer.


—HELPPP

Answers

The reaction of Magnesium metal with Iodine will yield Magnesium Iodide. The reaction would be as follows:

Mg (solid) + I2 (gas) --->  MgI2 (solid)

The two valence electrons of Mg will be distributed to each of the Iodine atoms in I2 gas. In the end, Mg ended up being Oxidized because it lose two electrons and I2 is reduced as it gained electrons.

MgI2 is classified as an ionic salt and it is highly soluble in water.

a sample of gas weighs 3.33 g and occupies a volume of 1.365 l at 95 °c and 790 torr. identify the gas sample.

Answers

The identity of the gas, given that 3.33 g occupies a volume of 1.365 L at 95 °C and 790 torr is chlorine gas (Cl₂)

How do I determine the identity of the gas?

First, we shall determine the number of mole of the gas. This is obtained as follow:

Volume (V) = 1.365 L Temperature (T) = 95 °C = 95 + 273 = 368 KPressure (P) = 790 torr = 790 / 760 = 1.039 atmGas constant (R) = 0.0821 atm.L/Kmol Number of mole (n) =?

PV = nRT

1.039 × 1.365 = n × 0.0821 × 368

Divide both sides by (0.0821 × 368)

n = (1.039 × 1.365) / (0.0821 × 368)

n = 0.0469 mole

Finally, we shall determine the identity of the gas as follow:

Mole of gas = 0.0469 mole Mass of gas = 3.33 gMolar mass of gas =?

Molar mass = mass / mole

Molar mass = 3.33 / 0.0469

Molar mass of gas = 71 g/mol

From the above calculation, we can see that the molar mass of the gas is 71 g/mol.

Thus, we can conclude that the identity of gas is chlorine gas (Cl₂) since:

Chlorine atom (Cl) = 35.5 g/molChlorine gas (Cl₂) = 2 × 35.5 = 71 g/mol

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Select the correct answer. What is the noble gas electron configuration of bismuth (bi)? a. [kr] 6s2 6p3 b. [xe] 6s2 6p3 c. [xe] 4f14 5d10 6s2 6p3 d. [kr] 5s2 5d10 5p6 6s2 6d10 6p3 e. [xe] 6s2 5d10 6p3.

Answers

the noble gas electron configuration of bismuth (Bi) is [Xe] 4f¹⁴ 5d¹⁰ 6s² 6p³. The correct answer is C.

Bismuth is an element with atomic number 83 and contains 83 electrons. The next noble gas is sign xenon, which contains 54 electrons. Bismuth is an element belonging to group 15 of the periodic table.

Arsenic and bismuth are similar in that they are both metalloids and share more or less the same properties. This is predictable because they belong to the same group of the periodic table and elements in the same group are said to have more or less the same properties.

therefore, The electronic configuration of bismuth for the nearest noble gas is:[Xe] 4f¹⁴ 5d¹⁰ 6s² 6p³. The correct answer is C.

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liquid hexane will react with gaseous oxygen to produce gaseous carbon dioxide and gaseous water . suppose 19.8 g of hexane is mixed with 27. g of oxygen. calculate the maximum mass of water that could be produced by the chemical reaction. round your answer to significant digits.

Answers

2.20 g (to 3 sig. figs.) the maximum mass of water that could be produced by the chemical reaction. round your answer to significant digits.

hexane is C6H14 or put another way, as in the question CH3(CH2)4CH3. Actually, it is incorrect as depicted in the question.Nonetheless..

2C6H14 + 19O2 ===> 12CO2 + 14H2O ... balanced equation

moled hexane present = 2.6 g x 1 mole/130 g = 0.02 moles

moles O2 present = 5.29 g x 1 mole/32 g = 0.165 moles

Which reactant is limiting? Hexane = 0.02/2 = 0.01; O2 = 0.165/19 = 0.0087

Thus O2 is limiting...

moles of H2O that can be produced =0.165 moles O2 x 14 H2O/19 CO2 = 0.122 moles H2O

Mass of water( H2O) = 0.122 moles x 18 gm/mole = 2.20 g (to 3 sig. figs.)

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How do you calculate half-life?

Answers

The half-life formula is used to determine the half-life of a material whose quantity is degrading or decreasing. When a substance degrades, the rate of decay varies depending on the quantity present. [tex]t_{1/2}[/tex]=0.693/λ

Finding the life of a decaying substance is highly challenging since when the substance's quantity decreases, the pace of decay slows down as well. The appropriate metrics to define the life of degrading material are therefore provided by the half-life formula. Let's find solutions to a few examples and learn more about the half-life formula in this part.

A quantity's half-life is the amount of time needed for it to change from its initial value to half, or how long it takes for half of a given sample to react. The speed at which an atom decays radioactively is described by the half-life formula, frequently used in nuclear physics.

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Pressure has little effect on the solubility of liquids and solids because they are almost incompressible. (True or False)

Answers

Pressure has little effect on the solubility of liquids and solids because they are almost incompressible is true.

Does pressure have an impact on how well liquids and solids dissolve?

The solubility of liquids and solids is mostly unaffected by external pressure. On the other hand, as the partial pressure of the gas above a solution rises, so does the solubility of gases.

Therefore due to variations in pressure, liquids and solids hardly ever vary in solubility. When would be expected, as pressure rises, gases become more soluble. According to Henry's Law, a gas's solubility in a liquid is inversely correlated with its pressure above the solution's surface.

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An olympic-size pool is 50. 0 m long and 25. 0 m wide. How many gallons of water (density = 1. 0 g/ml) are needed to fill the pool to an average depth of 4. 8 ft?.

Answers

To fill the 50 m long and 25 wide pool to an average depth of 4.8 ft., the needed volume of water is 483,101 gallons

Suppose we have a rectangular prism with length l, width w, and height h, then the volume of the prism is given by:

V = l x w x h

In the problem, the given parameters are:

l = 50 m

w = 25 m

h = 4.8 ft. = 1.463 m

Plug these parameters into the formula:

V = 50 x 25 x 1.463

V = 1,828.75 m³

Next we need to convert m³ to gallons

1 m³ = 264.17 gallons

Hence,

V = 1,828.75 m³ = 1,828.75 x  264.17 gallons

V = 483,101 gallons

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what atomic or hybrid orbital on the central s atom makes up the sigma bond between this s and an outer f atom in sulfur tetrafluoride, sf4 ?

Answers

The center atom of sulfur tetrafluoride is sp3d hybridized.

Six from the sulfur atom and seven each from the four fluorine atoms will make up the molecule's total of 34 valence electrons.

With each fluorine atom, the sulfur atom will create a single bond. Of the 34 valence electrons, 8 will be accounted for by these bonds. To have a full octet, each fluorine atom needs 3 lone pairs of electrons.

24 valence electrons will be used by these lone pairs, increasing the total number of valence electrons used to 32. The sulfur atom will get the final two electrons as a lone pair.

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if you weigh out 0.205 g of salicylic acid, what is the theoretical yield for aspirin?

Answers

The theoretical yield is 0.205 x 180/144 = 0.256 g, assuming that the salicylic acid is treated with an excess of acetic anhydride or any other acetylating agent.

How do you calculate ASA's theoretical yield?

The stoichiometric ratio is used to compute the moles of aspirin from the moles of the limiting reagent. The value of mass is calculated by multiplying the moles of aspirin by its molar mass. Theoretical yield of the aspirin is the name given to this material.

To calculate the percent yield, it is first essential to ascertain, using stoichiometry, how much of the product should be produced. The greatest quantity of product that may be produced from the specified reactant amounts is known as the theoretical yield.

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hydrogen chloride gas and oxygen react to form water vapor and chlorine gas. what volume of water would be produced by this reaction if of oxygen were consumed?

Answers

Hydrogen chloride gas and oxygen react to form water vapor and chlorine gas 11.2 liters volume of water would be produced by this reaction if of oxygen were consumed.

O2 and HCl react as follows:

2 H2O + 2 Cl2 result from 4 HCl + O2.

Let's say we are given 1 mole of HCl gas. Then, using the equation,

When 89.6 L (4 moles) of HCl interacted, 44.8 L (2 moles) of Cl2 gas was created.

Therefore, X L of Cl2 gas will be produced from 22.4 L (1 mole) of HCl.

For X, the solution is X = (22.4 L 44.8 L) 89.6 L.

X equals 11.2 liters of Cl2 gas

Hence, 11.2 liters volume of water would be produced by this reaction if of oxygen were consumed

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in which type of compound are ionic bonds most commonly seen? in which type of compound are ionic bonds most commonly seen? organic inorganic

Answers

An ionic compound's two distinct ions separate from one another when it is dissolved in water.

Organic chemicals are typically not ionic. The vast majority of organic compounds have covalent connections. Covalent molecules are not made with ions. They are one molecule when there are no net charges (although may have charge separation).

Compounds of carbon and hydrogen that may or may not also contain other elements are referred to as organic substances. There are also some ionized organic compounds. Cyclopropenyl chloride, as an example. Ionic compounds conduct electricity due to the presence of ions in their aqueous state. The majority of organic materials, however, do not dissolve in water. But other compounds do dissolve easily, such as ethyl alcohol. As one can see, the terms "ionic" and "organic" are not equivalent or even mutually exclusive. In terms of organic and inorganic, respectively, ionic and covalent are equivalent notions. Both organic and inorganic compounds can be in ionic or covalent states. There would only be a broad distinction between organic and ionic if covalent and inorganic were assumed for organic and ionic for inorganic, respectively. Therefore, the decision would be between ionic and covalent molecules.

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What does a half-life of 2 hours mean?

Answers

Half-life of 2 hours means the concentration of the Ambien in your blood stream drops by half.

Half-life are distinguishing characteristics of the many types of unstable atomic nuclei and the specific manner in which they decay. Compared to gamma decay, alpha and beta decay are typically slower processes. For alpha decay, half-lives can start at roughly one one millionth of a second and for beta decay, they can start as low as one hundredth of a second. Although a wide range of half-lives for gamma emission have been observed, half-lives for gamma decay may be too short to detect (about 10–14 seconds).

For instance, the radioactive isotope cobalt-60, which is utilized in radiotherapy, has a half-life of 5.26 years. After that time, a sample that contained 8 g of cobalt-60 when it was first prepared would now only contain 4 g of the metal and release half as much radiation.

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Which equation violates the Law of Conservation of Matter?
O A. 2 H₂SO3 + 4 H₂Se --> Sе6 + 6 H₂O
B. Al2(SO4)3 + 3 Ca(MnO4)2 → 2 Al(MnO4)3 + 3 CaSO4
5 HI 2 HIO3 --> 3 12 + 3 H₂O

Answers

Answer:

The equation that violates the Law of Conservation of Matter is 5 HI + 2 HIO3 --> 3 12 + 3 H₂O

Explanation:

This equation shows the formation of three molecules of iodine (I2) from two molecules of hydrogen iodate (HIO3) and five molecules of hydrogen iodide (HI), but it does not account for the atoms of iodine that are used to form the three molecules of iodine. According to the Law of Conservation of Matter, the total number of atoms of each element must be the same on both sides of a chemical equation, but in this equation, there are more atoms of iodine on the left-hand side than on the right-hand side. This means that the equation is not balanced, and it violates the Law of Conservation of Matter. The other equations listed are balanced and do not violate this law.

free radicals produced during biochemical reactions can serve as carcinogens if they are not neutralized by

Answers

The appropriate answer is

Antioxidants

They serve as carcinogens if they are not neutralized

cis-1,2-dimethylcyclohexane always has one axial and one equatorial methyl group.a. Trueb. False

Answers

Cis-1,2-dimethylcyclohexane  conformer always has one axial and one equatorial methyl group is a correct statement.

An isomer of a molecule known as a conformer differs from another isomer by rotating one of the molecule's bonds. An isomer of conformation is also referred to as a conformer. Conformation is the term used to describe the isomers that result. In terms of its methyl (CH3) groups, butane can be divided into three conformers. One of these is an anti conformer, and the other two are gauche conformers. The anti conformer is the most stable of the three. Stereoisomers produced by rotation (twisting) about -bonds are known as conformational isomers (also known as conformers, rotational isomers, or rotamers), and they frequently inter convert quickly at room temperature.

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How do you calculate half-life hours?

Answers

Half-life hours N = No[tex](1/2)^{t/half}[/tex]

A radioactive isotope's half-life is the amount of time it takes for it to decay by half. The half-life of a given radioactive isotope is constant, independent of the environment and of the initial concentration of the isotope.

Take into account the following illustration. For instance, consider 100.0 g of 3H. (tritium, a radioactive isotope of hydrogen). It has a half-life of 12.3 years. After 12.3 years, the sample will have deteriorated to 3He by generating a beta particle, leaving just 50.0 g of the original 3H. After an additional 12.3 years, for a total of 24.6 years, the final 25.0 g of 3H will also contain 25.0 g of decomposed 3H.

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write the complete electron configuration for the common monatomic ion formed by the element sodium , na .

Answers

2,8,1

Explanation:

the atomic number of sodim is 11 so when we deal with configration it will be like 2,8,1

HELPPP!!!!!!!
Shortly after Indonesia was hit by a devastating tsunami in 2004, a famous televangelist declared that the tsunami was an act of divine judgment on that country. He said something similar in the wake of Hurricane Katrina in 2005 and the Haitian earthquake in 2010. How would you respond to his comments?

Answers

Explanation:

On December 26 2004, waves triggered by a massive earthquake slammed into the coastlines of countries ringing the Indian Ocean. The death toll was enormous. Worldwide, it is estimated that about 230,000 people died that day. Aceh province, on the northern end of the Indonesian island of Sumatra, was hit hardest. There, more than 160,000 people – nearly 5% of the local population – were killed. In the worst hit areas, survivors lost their homes and livelihoods and saw their communities reduced to rubble.

Over the months that followed, governments, religious organisations, NGOs and individual people delivered substantial support for humanitarian assistance and rebuilding. Multi-year reconstruction projects began and Indonesia committed to building back better. Much of what has been learned from that disaster is relevant when considering how the world will recover from the coronavirus pandemic.

In the immediate aftermath of an event like the 2004 tsunami, the path forward is not clear. So how have those from affected regions fared since the day the waves crashed ashore? Over the last 16 years, we have followed people and their families who were living along the coasts of Aceh and Northern Sumatra, the two most northerly provinces in Sumatra, as part of the Study of the Tsunami Aftermath and Recovery (STAR).

Experiences of the disaster and its aftermath, and the meaning people take from them, have varied.

One young man we spoke to lost his wife, child, and 27 other family members in the disaster, but has since remarried. He says that the time since the tsunami has taught him that life sometimes brings happiness and sometimes not, but that affection is critically important.

Another young man who lost a wife and child has also remarried. But he told us that the time since the tsunami has not brought any positive changes in his life, though he is deeply committed to earning the money to support the education of the two young children he now has.

Our data covers the population before the disaster and measures exposure to the disaster in terms of impacts on both places and people. We have been able to measure the disaster’s various impacts on wellbeing and shed light on some of the key drivers for recovery.

Mortality and health

Death is the most extreme consequence of exposure to a disaster. Some deaths are immediate, but others may occur over the years as sustained exposure to stress takes its toll. Teasing out how disasters affect mortality risks is complicated, but can provide clues about what will happen when disasters strike in the future.

We have found that the groups least likely to survive the tsunami were older adults and young children. Among adults, women were less likely to survive than men.

Tracking mortality among survivors in the years after the tsunami provides direct evidence on people’s resilience. We see resilience as the ability to minimise the negative impacts of difficult situations and move forward effectively afterwards. The devastation caused by the tsunami has the potential to “scar” people, resulting in their premature death. But equally, the survivors may have protective traits that are associated with better health and longevity.

We examined mortality for survivors at five years and ten years after the tsunami. We found that among adults, both these factors are in play and that they operate differently for men and women.

Five years after the tsunami, there is clear evidence that for male survivors who were aged 50 and above when the disaster took place, those from heavily affected areas were more likely to still be alive than those from relatively unaffected areas. This shows that over this period, certain protective traits of survivors (perhaps general fitness) appear to exert a stronger effect on longevity than any “scarring” elements of the event.

But for women over 50, the reverse was true: we found that survivors from heavily damaged areas were at higher risk of dying over the next five years than women from unaffected areas.

These basic patterns were still apparent ten years after the disaster. But by this point, the evidence shows that in particular, post-traumatic stress for older men or the loss of a spouse for older women decreased the likelihood them still being alive. Although the two events are of course extremely different, these results should encourage us to reflect on what the long-term health effects of the COVID pandemic might be.

Fructose‑2,6‑bisphosphate is a regulator of both glycolysis and gluconeogenesis for the phosphofructokinase reaction of glycolysis and the fructose‑1,6‑bisphosphatase reaction of gluconeogenesis. in turn, the concentration of fructose‑2,6‑bisphosphate is regulated by many hormones, second messengers, and enzymes. classify each condition according to its effect on glycolysis and gluconeogenesis. How do the following affect glycolysis and gluconeogenesis?

Answers

A high concentration of fructose-2,6-bisphosphate stimulates glycolysis, whereas a low quantity of fructose-2,6-bisphosphate stimulates gluconeogenesis.

What's a short way to explain glycolysis?

the partial breakdown of glucose (sugar) by cells via oxygen-free enzyme reactions. Glycolysis is one method that tissues use to produce energy. Glucose is transformed into pyruvate molecules that are each containing three carbons, through a series of processes known as glycolysis.

Where does glycolysis take place within the cell?

The two stages of glycolysis that breaks the 6-carbon glucose molecule takes place in the cytoplasm. During the initial phase, a series of processes result in the division of glucose into two 3-carbon phosphorylated molecules.

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How many more neutrons are in an isotope of carbon-14 than in a standard carbon atom?

Answers

Answer:

Carbon-12 has 6 neutrons and carbon-14 has 8 neutrons.

Explanation:

Because of the number of neutron they have, they have different physical properties. Carbon-14 is considered an unstable isotope. It decays and emits radioactivity in the form of beta rays.

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Answer:2

Explanation:

8-6=2

A graduated cylinder is filled to
25.0 mL with water and a piece of a
red mineral is placed in the cylinder,
displacing the level to 35.0 mL.
What is the volume of the red
mineral piece in milliliters?
volume = [?] mL

Answers

The volume of the red mineral piece in millilitres is 10 millilitres.

How to calculate volume?

Volume in chemistry is a measure of the amount of space that matter occupies.

Matter is defined as a physical substance that occupies space and has a mass. In physical sciences like chemistry, the standard unit of volume is cubic metres (m³). From this unit, other units are derived including litre (L) and millilitre (mL).

According to this question, a graduated cylinder is filled to 25.0 mL with water and a piece of a red mineral is placed in the cylinder, displacing the level to 35.0 mL.

This suggests that the volume of the red mineral placed in the cylinder can be calculated as follows:

Volume of red mineral = 35.0mL - 25.0mL = 10.0mL

Therefore, 10mL is the volume of the piece of red mineral.

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Dawson decided he would be Dawson and play with a flammable gas. He needs to know how many moles of gas it takes to occupy 210 L at a pressure of 5.4 atmospheres and a temperature of 263 K?

Answers

According to ideal gas equation, 0.5186 moles of gas are required to occupy 210 L at a pressure of 5.4 atmospheres and a temperature of 263 K.

What is ideal gas equation?

The ideal gas equation is a equation which is applicable in a hypothetical state of an ideal gas.It is a combination of Boyle's law, Charle's law,Avogadro's law and Gay-Lussac's law . It is given as, PV=nRT where R= gas constant whose value is 8.314.The law has several limitations.

Substituting the given values in the given equation, n= 5.4×210/8.314×263=0.5186 moles

Thus there are 0.5186 moles occupying  210 L at a pressure of 5.4 atmospheres and a temperature of 263 K.

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what is the concentration (m) of 39.88 ml of an unknown naoh solution if it required of to neutralize? question 34 options: a) 1211 b) 2788 c) 0.7617 d) 1.313 e) 1.211

Answers

The concentration (m) of 39.88 ml of an unknown naoh solution if it required of to neutralize Option C: 0.7617

The amount is stated. 59 .88 ml No, the HcL capacity is 46.8 ml. The modularity of HcL is set to zero point 65 and 92. Therefore, we must determine the modularity of Noh in order to be certain that the nuclearization formula, which is the polarity of anyways multiplied by the volume of anyhow, will equal the majority of Hcl multiplied by the volume of HcL.

From this point on, it equals modernity of HcL multiplied by volume of HcL divided by volume of any wage. We will now enter the values over here, which are 46.08 multiplied by 0.6592 divided by 39.88, and seconds zero 7617 Mueller. Hcl required of to neutralize 0.7617 that translates to among the options offered. The appropriate response will be option C.

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This is incomplete question complete question is :

What is the concentration (M) of 39 88 mL of an unknown NaOH solution if it required 46 08 mL of 0.6592 M HCI to neutralize?

α and β rays consist of particles, whereas γ rays are high-energy radiation and contain no particles and thus they have no mass. given that the penetrating power decreases with mass, rank the rays according to their penetrating power.a. alpha raysb. gamma raysc. beta rays1. strongest2. weakest

Answers

The rays are ranked from strongest to weakest in terms of how deeply they can penetrate an object.

Which among the alpha, beta, and gamma radiations is the strongest?

Of all the radiations, gamma rays are the most invasive. As penetration depends on particle size, larger particles have a lower penetration power, hence particles are bigger for, followed by, and then. Rays are also extremely powerful waves with a greater frequency.

Which radioactive particle can fly the farthest in air?

The electrons that are released from a radioactive atom's nucleus are known as beta particles. They travel farther in the air, up to several yards, and are lighter than alpha particles.

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the half life of radioactive radium is 1620 years. what percent of a present amount of radioactive radium will remain after 100 years

Answers

Answer:

About 95.81%

Explanation:

Often quantities grow or decay proportional to their size like decay of radioactive material

In those cases, we use the next formula:

[tex]y=Ce^{kt}[/tex]

where:

y: The amount of radioactive radium

t: Time

k: The decay constant

C: The initial amount of radium

"the half life of radioactive radium" - [tex]\frac{1}{2}C[/tex]

[tex]y=Ce^{kt}\\\\\frac{1}{2} C=Ce^{k*1620}\\\\\frac{1}{2} =e^{1620k}\\\\ln(\frac{1}{2})=ln(e^{1620k})\\\\ln(\frac{1}{2}) = 1620k\:ln(e)\\\\1620k=ln(\frac{1}{2})\\\\k=\frac{ln(\frac{1}{2})}{1620}\\ \\k=-4.2786862997527488\times 10^{-4}\\[/tex]

What percent of a present amount of radioactive radium will remain after 100 years (t)?

[tex]y=Ce^{kt}\\\\y=Ce^{-4.2786862997527488\times10^{-4}*100}\\\\y=0.9581155781885929\:C\\\\\%=y*100\\\%=0.9581155781885929\:C*100\\\%=95.81155781885929[/tex]

why did the big bang not produce a significant proportion of elements heavier than helium?

Answers

The big bang did not produce a significant proportion of elements heavier than helium because the temperatures and densities present in the early universe were not sufficient to support the fusion of heavier elements.

During the first few minute of the big bang, the universe was composed of mostly hydrogen and helium, with very small amounts of lithium and beryllium. As the universe expanded and cooled, the denser regions of the universe collapsed to form the first stars. Inside these stars, the intense pressure and heat generated by nuclear fusion reactions allowed for the production of heavier elements, such as carbon and oxygen. However, elements heavier than helium, such as iron and nickel, require even higher temperatures and densities to be produced, which can only be found in the cores of supernovae. Therefore, the big bang alone did not produce a significant proportion of elements heavier than helium.

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