The half-life of strontium-90 is 28 years. how long will it take a 100-mg sample to decay to a mass of 56 mg? (round your answer to the nearest whole number.)

Answers

Answer 1

The half-life of strontium-90 is 28 years. It will take 52 years a 100-mg sample to decay to a mass of 56 mg.

What is half life period?A half-life is just the amount of time it takes for something to go from 100% to 50%. The phrase is most frequently used in reference to radioactive decay, which happens when energetic atomic particles that are unstable lose momentum. There are 29 elements that have been shown to be susceptible to going through this process.Number of half lives that have passed is n, and the fraction that is left is equal to 0.5n.

Given that one half life is equal to 28 years, we must find n in this situation, and the remainder will be equal to 16/56, or 0.28.

0.28  = 0.52^n n = 2

after 1 half life = 0.52 remains.

after 2 half lives= 0.28 remains

Therefore, one half life is 28 years, it will take two half lives for 56 mg to decompose into 16 mg, which is equal to 52 years.

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Related Questions

Is a non-carbonated soft drink a heterogeneous mixture, solution, compound, or element?

Answers

Answer:

A non-carbonated soft drink is a homogenous mixture or a solution

Explanation:

Non-carbonated soft drinks contains water, sweetener that are evenly mixed (or uniformly mixed if this is the reagents). And since we don't see and bubbles when it's in the drink the soft drink is a solution because the components are evenly mixed.

What is the purpose of adding water to a sample of vinegar used in the titration?

Answers

Water is added to vinegar, which already contains acetic acid, to dilute it while keeping the same number of moles in the acid solution.

This makes it easy to determine the titration's end point, which helps ensure appropriate titration and accurate results.

Since the number of acid moles in the solution does not vary with the addition of water, the additional volume caused by the addition of water is not taken into account in the calculations.

What is Titration?Titration is the process of adding one solution to another so that the reaction occurs under circumstances that allow the increased volume to be precisely measured. It is employed in quantitative analytical chemistry to ascertain an unidentified analyte's concentration. Titrations can entail different sorts of reactions as well as the acid-base reactions that are most frequently associated with them. Titration is often referred to as volumetric analysis or titrimetry. The term "analyte" or "titrand" refers to the chemical with an unknown concentration. The titrant or titrator is a standard solution of a reagent with a known concentration. The titration volume refers to the amount of titrant that reacts (often to generate a color change).

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A solution is prepared by dissolving 50.4 g sucrose (c12h22o11) in 0.332 kg of water. the final volume of the solution is 355 ml. for this solution, calculate the molarity.

Answers

The molarity of the sucrose solution is found to be 0.4146M

The term "molarity" (also known as "molar concentration," "amount concentration," or "substance concentration") refers to the amount of a substance per unit volume of the solution and is used to describe the concentration of a chemical substance, specifically a solute, in a solution.

Given:

Mass of sucrose, m = 50.4g

Volume of solution, v = 355ml = 0.355L

Molecular weight of sucrose = 342.3g/mol

To find:

Molarity, M = ?

Formula:

Molarity = amount of solute, n (moles) / volume of solution, v (L)

Calculations:

No. of moles of sucrose, n = mass of sucrose x (1 mole / molecular weight of sucrose)

n = 50.4 x (1/342.3)

n = 0.1472 moles

M = 0.1472 / 0.355

Molarity = 0.4146M

Result:

The sucrose solution has a molarity of 0.4146M.

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Find out the solubility product of calcium sulfite ca(so3)2 if its solubility in water is found to be 1.18*10^-4m.

Answers

The equilibrium solubility of Ca (So3)2 is

Ca (So3)2 ⇋⇋ Ca2 + 2(SO3)

The Ksp (Solubility product) expression looks like this:

Ksp = [Ca2+] [SO3-]2

Ca (So3)2 generates 1 mol of Ca2+ whereas 2 mol of SO3– per mol.

[Ca2+] = 1.18*10^-4 M

[I–] = (2) × 1.18*10^-4 M

So, [I–] = 2.36 × 10^-4M

On Replacing these values in the Ksp equation.

Ksp = (1.18*10^-4M) (2.36 × 10^-4M)2

So, Ksp = 2.7848 x 10^-8 M2

What is a Solubility Product?The solubility product constant, abbreviated Ksp, is a condensed equilibrium constant that describes the equilibrium between a solid and its associated ions in a particular solution. Its value reveals how much a substance can dissociate in water. The substance is more soluble the higher the solubility product constant. The sum of the ion concentrations for a particular salt results in the Ksp expression. The saturated solutions of relatively low solubility ionic substances are described using the solubility product constants. The dissolved and dissociated ionic component and the undissolved solid are in a dynamic equilibrium state in a saturated solution.

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An atom has an atomic number of 56. Answer the following questions about this element. What is the element's symbol? If it has a charge of 1+, how many electrons does it have? What is the name of the group, or family, is it in? PLS HELP ASAP

Answers

An barium, group 2A family atom has an atomic number of 56

Barium is a chemical element with the symbol Ba and atomic number 56 it is fifth element in group two and is a soft, silvery alkaline earth metal because of its high chemical reactivity, barium is never found in the nature as a free element, element symbol are Ba and when  If it has a charge of 1+ then barium has 56 electron then 56-1=55 electron are present barium are present in group 2A in the periodic table and called alkaline earth metal

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Does vb theory indicate that the diatomic molecule he2 is a viable species? rationalize your answer

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VB theory does not indicate that the diatomic molecule He₂ is a viable species.

Helium has atomic number 2, it has 2 protons and 2 electrons.

Electron configuration of helium atom: ₂He 1s².

Helim (He) is a noble gas.

Noble gases (group 18) are in group 18: helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe) and radon (Rn). They have very low chemical reactivity.

Noble gases have very stable electron configuration and does not need to gain electrons, only when they gain energy.

Valence bond (VB) theory explains chemical bonding.

Helium atom is stable and does not form molecule.

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The boiling point of ethanol is 173.1°F. A lab group measures the boiling point as 185°F. What is the absolute error and the percent error?​

Answers

Due to the hydrogen bonding between the molecules of ethanol and water, it is True.

Water and ethanol form weak hydrogen bonds with aromatic hydrogen atoms and strong hydrogen bonds with the hydroxyl, carbonyl, and ether groups in chrysin/galangin. Although less frequently than in water, ethanol molecules can form hydrogen bonds with one another. The fact that there is only one hydrogen with a significant Positive charge in each ethanol molecule limits the hydrogen bonding. Between adjoining hydrogen and oxygen atoms of nearby water molecules, hydrogen bonds are formed. A bond called a hydrogen bond is produced by the attraction between individual water molecules.

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What effect did the copper wire have on the candle flame? Propose a hypothesis.

Answers

Answer:

The flame of the candle looks to go out, but the candle continues to burn. In actuality, the copper wire coil is transferring heat away from the candle flame. The flame returns after the coil of wire is removed.

Explanation:

How much more average Kinetic Energy do molecules have at 50°C compared to 25°C?

Answers

The kinetic energy is 0.5177 × 10⁻²¹ J more at 50°C compared to 25°C.

The average kinetic energy of a molecule is directly proportional to the absolute temperature of a gas.

KE = ( 3/2 ) ( R / Nₐ ) T

Where T is the temperature of the molecule, R is the gas constant, and Nₐ is Avogadro's number.

Now, R = 8.314 J/mol.K

Avogadro's number, Nₐ = 6.022 × 10²³ atoms/ mol

The average kinetic energy at 50° C is:

T = 50° C = 323 K

KE₁ = ( 3/2 ) × ( R / Nₐ ) × T₁

KE₁ = ( 3 × 8.314 × 323 ) / ( 2 × 6.022 × 10²³ )

KE₁ = 668.90 × 10⁻²³ J

KE₁ = 6.6890 × 10⁻²¹ J

The average kinetic energy at 25°C is:

KE₂ = ( 3/2 ) × ( R / Nₐ ) × T₂

KE₂ = ( 3 × 8.314 × 298 ) / ( 2 × 6.022 × 10²³ )

KE₂ = 617.13 × 10⁻²³ J

KE₂ = 6.1713 × 10⁻²¹ J

Now,

The average kinetic energy of the molecules at 50° C compared to 25° C is:

KE = KE₁ - KE₂

KE = 6.6890 × 10⁻²¹ - 6.1713 × 10⁻²¹

KE = 0.5177 × 10⁻²¹ J

Hence, the average kinetic energy is 0.5177 × 10⁻²¹ J more at 50° C compared to 25° C.

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P2O5 was found to have a ph of 2.0 . Give reasons for this observation

Answers

It is because the traditional definition of a strong acid is based on the simplicity of proton (hydrogen ion) donation in aqueous solution.

Which acid is formed by P2O5?

The chemical compound phosphorus pentoxide has the molecular formula P4O10 (with its common name derived from its empirical formula, P2O5). The anhydride of phosphoric acid is this white, crystalline solid. When P2O5 is dissolved in water, it produces H3PO4, or phosphoric acid (3H2O + P2O5 2H3PO4).

Why is it called P2O5 as diphosphorus pentoxide?

Phosphorus pentoxide has a molecular formula of P4O10, but its empirical formula is P2O5. But the name of the compound, not its molecular formula, was derived from its empirical formula. The official name for all of this substance is diphosphorus pentoxide.

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The amount of energy that must be absorbed or lost to raise or lower the temperature of 1gram of liquid water by 1°c.

Answers

The amount of energy that must be absorbed or lost to raise or lower the temperature of 1 gram of liquid water by 1°C is 1 calorie.

A calorie (cal), or a small calorie, is the amount of energy needed to heat one gram of water by one degree Celsius. It is used to express the amount of energy released in a phase change or chemical reaction.

One small calorie is approximately 4.2 joules.

A calorie is a unit of energy.

A calorie was originally part of the metric system (SI), but now it is replaced with the joule (J).

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What+are+the+molar+enthalpy+and+total+enthalpy+of+the+pure+system+when+50%+and+75%+have+been+evaporated?

Answers

At 30°C, Molar enthalpy will be 72,446.4 J/mole and total enthalpy will be 26.5 kJ.

At 50°C, Molar enthalpy will be 3,63,792J/mole and total enthalpy will be 132.5 kJ.

What is Molar enthalpy?

The enthalpy value per mole is known as molecular enthalpy. Enthalpy is a thermodynamic quantity that, according to this definition, is equivalent to a system's entire heat capacity. It is equal to the sum of the system's internal energy and the volume times pressure product. KJ/mol serves as the unit of measurement for this value. As a result, we can arrive at the following equation to determine molar enthalpy:

DH/n = Molar Enthalpy n is the number of moles of reactant used in the system, and DH is the change in enthalpy of the system. For instance, the change in enthalpy when one mole of a chemical species is created in the standard state at a certain temperature is known as the molar enthalpy for the creation of a specific substance.

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Which occurs during a synthesis reaction?

A. Compounds break down into simpler products.
B. Two or more substances combine to form a more complex substance.
C. One element replaces another element in a compound.
D. Two elements in different compounds trade places.

Answers

One element replaces another element in a compound

A 35m x 15m swimming pool is filled with water to a depth of 3m. how much heat is required to raise the temperature of the water in the pool from 10c to 25c?

Answers

It avoids the need to make tedious, and uncertain, calculations to estimate the shell-side coefficient.

What is shell-side coefficient?

In steady flow systems, tube-side heat transfer coefficients are capable of being greatly improved over flow at the same net flow Reynolds number. The Nusselt values converge, as shown in Figure 5.21, at higher Reynolds numbers, although operation at such high net flow Reynolds numbers would negate the benefits of adopting OBRs in the design. Nu is often increased by a factor of between 10 and 30 in the lower Re region.

Due to the improved radial transport exhibited by the vertical mixing patterns, this improvement has occurred. It is obvious that in an oscillating baffled system, heat transfer coefficients that are comparable to those of smooth-walled tubes under well-developed turbulence can be attained at significantly lower (net flow) Reynolds numbers.

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Boron (B) is an element or a compound?

Answers

Answer:

Its a element

Explanation:

Boron is made of atoms.

Answer:

element is the answer for your question

Explanation:

because i took a test on this

How many electrons would it take to equal the mass of a helium nucleus?
EXPRESS YOUR ANSWER USING TWO SIGNIFICANT FIGURES.

Answers

The electrons will take 7.3 times to be equal to the mass of the helium nucleus

How many electrons would it take to equal the mass of a helium nucleus?

If we want to calculate the number of electrons in the nucleus of the helium, then we have the formula for finding the number of electrons so by doing so we can get exactly the number of electrons.

The formula is that if we divide the total mass of the nucleus of the helium gas with the number of electronic mass so it will give us the number. So as a result it will take $7.28869 \times {10^{ - 59}}$ number of electrons to equal the mass of a helium nucleus.

The atomic mass of the Helium is 4.002602.

So we can conclude that the electrons will take 7.3 times to be equal to the mass of the helium nucleus.

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Helpppppppppp!!! the law of conservation of mass states that during a chemical reaction, mass/matter is not __________________________ or ________________________. because of this law, there must be exactly the same number and kind of _____________________ on each side of a chemical equation. to check if an equation is balanced or not, simply count the number of atoms of each element on the reactant side of the equation and check to see if there are the same number of atoms of each element on the ______________________ side of the equation. if so, it is balanced.

Answers

Answer: created, destroyed, element, product

Explanation: The law of conservation of mass states that matter can neither be created nor destroyed but is transferred from one form to another. In other words, the mass of one element at the beginning of the reaction must be equal to the mass of the element at the end of the reaction.
So...the law of conservation of mass states that during a chemical reaction, mass/matter is not CREATED or DESTROYED and because of this law, there must be exactly the same number and kind of ELEMENTS on each side of a chemical equation.
To check if an equation is balanced or not, simply count the number of atoms of each element on the reactant side of the equation and check to see if there are the same number of atoms of each element on the PRODUCT side of the equation. If so, it is balanced.

What will happen if i mix black coffee and white sugar together?​

Answers

The effect in terms of taste will be sweeter, as with all sugar. In terms of chemicals and solutions, however, it will be a physical change because it still is a separate substance and can be coffee without sugar. The composure will not really change.

Explanation:

 It drowns out some of the more delicate notes. It changes the flavour balance.

Calculate the ph of a buffer solution obtained by dissolving 17.0 g of kh2po4(s) and 30.0 g of na2hpo4(s) in water and then diluting to 1.00 l.ph=

Answers

The ph of a buffer solution was obtained by dissolving 17.0 g of [tex]KH_{2} PO_{4}[/tex]  and 30.0 g of  [tex]Na_{2} HPO_{4}[/tex]   in water and then diluting to 1.00L is 7.43.

We will apply the Henderson-Hasselblach equation to determine the pH:

pH= pKa + Log [A/AH]

when [tex]Na_{2} HPO_{4}[/tex] molar mass is 142 g/mol

A is the conjugate base [tex]HPO_{4} ^{-}[/tex] ions and as a result,

[tex][A]= \frac{30g}{142 g/mol}[/tex]

= 0.211 M

[tex]KH_{2} PO_{4}[/tex] has a molar mass of 136 g/mol.

Given that AH is the weak acid [tex]H_{2} PO_{4} ^{-}[/tex] ion,

[AH] = [tex]\frac{17.0 g}{136 g/mol.}[/tex]

= 0.125 M

and with [tex]H_{3} PO_{4}[/tex] having a pKa value of 7.21

then, substituting

∴ pH = 7.21 + log (0.211 / 0.125)

= 7.21 +0.227

=7.43

The pH of a buffer solution is 7.43.

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What property of matter is measured in cubic centimeters?

Answers

Volume is the correct answer

the small particles within the atom
are known as?

Answers

Answer:

molecules

Explanation:

hope i help :))

How to understand significant digits I know that leading zeros aren’t significant, but can someone explain more about significant digits i’m trying to understand it

Answers

Hi!

Yes so all zeros that occur between any two non zero digits are significant.

For example, 108.0097 contains 7 significant digits. All zeros that are on the right of a decimal point and also to the left of a non-zero digit is never significant.

For example, 0.00798 contained three significant digits.

Which of following can form hydrogen bonds with water molecules?
(1) na
(2) ch 3cooh
(3) c 2h 6
(4) ch 3nh 2

Answers

Of the four species, only

CH₃COOH and CH₃NH₂ hydrogen bond

COOH can be formed via Water H and NH₂

Group. The species Na+ can be solvated with water through ionic dipole interactions rather than hydrogen bonding. As for C₂H₆ it can interact with water only by weak London dispersion forces

Hydrogen bonding refers to the attractive forces that occur between hydrogen atoms and highly electronegative atoms such as nitrogen, oxygen, and fluorine. These can occur intramolecularly or intermolecularly, depending on whether they occur in different molecules or in the same molecule. In general, hydrogen bonds are stronger than van der Waals forces, but weaker than ionic and covalent bonds.

Of the four species, only CH₃COOH and CH₃NH₂ hydrogen bond COOH can be formed via Water H and NH₂ Group. The species Na+ can be solvated with water through ionic dipole interactions rather than hydrogen bonding. As for

C₂H₆, it can interact with water only by weak London dispersion forces.

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Sometimes when performing a crystallization, one solvent alone will not work and you have to use a solvent-pair. Will the solvent pair hexane and diethyl ether work? why or why not?.

Answers

Answer:

k

Explanation:

k7

What mass of hydrogen is needed to produce 5.0 g of tungsten according to the equation: WO3 + 3 H2 --> 3 H2O + W

Answers

The mass of hydrogen that is needed to produce 5.0 g of tungsten is 0.0273 grams.

What is tungsten?

Tungsten is a chemical element that is used with steel to make the steel strong.

The equation:

WO₃ + 3H₂ --> 3H₂O + W

Given, that the mass is 5.0 g of tungsten

The molar mass of tungsten is 183.84 g/mol

Moles = mass / molar mass

5.0 / 183.84 = 0.0271 moles

Then, the Mass of hydrogen

The molar mass of hydrogen is 1.00784

Moles of tungsten are 0.0271 moles

molar mass x moles

1.00784 x 0.0271 moles

0.0273

Thus, the mass of hydrogen needed is 0.0273 grams.

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The specific heat capacities of lead and magnesium are (in j/g-degree): 0.128 and 1.024. Calculate the molar heat capacities of these metals.

Answers

Given,

Specific heat capacity of lead = 0.128 J/g

Specific heat capacity of magnesium= 1.024 J/g

Molar heat capacity is the amount of heat needed to raise the temperature of 1 mole of a substance by 1 unit.

So,

For calculating molar heat capacity we need to multiply the specific heat capacities of the metals with their atomic masses.

Atomic mass of lead (Pb) = 207

Atomic mass of magnesium (Mg) = 24

Molar heat capacity = specific heat capacity x atomic mass

Molar heat capacity of Pb=0.128 x 207 = 26.5 J

Molar heat capacity of magnesium (Mg) = 1.024 x 24 = 24.5

Hence , molar heat capacities of lead and magnesium are 26.5 and 25.5 Joules respectively.

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Molar heat capacities of lead and magnesium is 26.49 and 24.5 Joules, respectively.

Given,

Lead has a specific heat capacity of 0.128 J/g.

Magnesium has a specific heat capacity of 1.024 J/g.

The quantity of heat required to increase the temperature of 1 mole of a substance by 1 unit is known as its molar heat capacity.

So, We must multiply the specific heat capacities of the metals by their atomic masses in order to determine their molar heat capacities.

Lead (Pb) has an atomic mass of 207.

Magnesium (Mg) has an atomic mass of 24.

Specific heat capacity multiplied by atomic mass gives the molar heat capacity.

Pb has a 26.5 J molar heat capacity (0.128 x 207).

Magnesium's (Mg) molar heat capacity is equal to 1.024 x 24.

Thus, lead and magnesium have molar heat capacities of 26.49 and 24.5 Joules, respectively.

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The densities of copper, silver, iron, and magnesium are 8.96,10.5,7.89,1.74g\slashcm3 in that order. you are given 5.00 grams of each metal. which one has the largest volume?

Answers

The element that has the largest volume is Magnesium

The density formula and the procedure we will use is:

d = m/v

Where:

v= volumed= densitym= mass

Information about the problem:

d(copper)= 8.96 g/mld(silver)= 10.5 g/mld(iron)= 7.89 g/mld(magnesium )= 1.74 g/mlm = 5 gv = ?

Applying the density formula and clearing the volume we get:

d = m/v

v = m/ d

v(copper) = m/d(copper)

v(copper) = 5 g/ 8.96 g/ml

v(copper) = 0.5580 ml

v(silver) = m/d(silver)

v(silver) = 5 g/ 10.5 g/ml

v(silver) = 0.4762 ml

v(iron) = m/d(iron)

v(iron) = 5 g/ 7.89 g/ml

v(iron) = 0.6337 ml

v(magnesium ) = m/d(magnesium )

v(magnesium ) = 5 g/ 1.74 g/ml

v(magnesium ) = 2.8736 ml

What is density?

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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What byproduct of fermentation induces the coagulation of casein into the cheese curd? select one:
a. carbon dioxide
b. lactic acid
c. ethyl alcohol
d. acetic acid

Answers

The byproduct of fermentation tha induces the coagulation of casein into the cheese curd is b. lactic acid.

Lactic acid causes the milk proteins casein to form into a cheese curd, because it increase acidity and the enzymes prefer for the coagulation.

Producing cheese curds is one of the first steps of makint a cheese.

Swiss cheese is a cheese made in Switzerland.

Swiss cheese is, usually, a semihard cheese made from cows milk with a characteristic holes.

Fermentation of milk is a metabolic process in which lactic acid (CH₃CHOHCOOH) and carbon dioxide are produced from sugar lactose:

C₅H₁₂O₆ → CH₃CHOHCOOH + C₂H₅OH + CO₂

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What is the mass of 7.00 mol of hydrogen peroxide (h2o2)? 0.206 g 0.389 g 126 g 238 g

Answers

The mass of the hydrogen peroxide is 238 g.

Hydrogen peroxide at room temperature stays in liquid form. It has a bitter taste and is colorless. It is an important regent used in pharmaceutical and other industries. It also has medical use. It can be used as an antiseptic.

The number of miles in the hydrogen peroxide is n.

n = 7 mol

The molar mass of hydrogen peroxide is,

The molar mass of hydrogen peroxide = Molar mass of hydrogen + Molar mass of oxygen

= 2 × 1 + 2× 16

= 34 g/mole

The molar mass of hydrogen peroxide is 34 g/mole.

The mass of the hydrogen peroxide is,

[tex]Number \: of \: moles = \frac{ Mass }{ Molar \: mass}[/tex]

[tex]n = \frac{m}{M} [/tex]

m = n × M

m = 7 × 34

m = 238 g.

Therefore, the mass of the hydrogen peroxide is 238 g.

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The number of neutrons present in the nucleus of an average atom of any given element is best estimated by:_______-

Answers

The number of neutrons present in the nucleus of an average atom in any given element is best estimated by subtracting the number of protons from the mass number.

All atoms contain protons, neutrons and electrons, although the amount differs for each atom. Neutrons are located in the nucleus of each atom. They were first discovered by James Chadwick. They are also neutral and have no charge.

Apart from neutrons, positively charged protons are present in the nucleus. The number of protons is equal to the atomic number, usually denoted with the letter Z.

The mass number or atomic mass is the total mass of the atom. It is calculated by adding the number of protons to the number of neutrons. Electrons are really light and have negligible mass (about 1/1840 times the mass of a proton), so we don't add their masses when calculating mass number. So, to get the number of neutrons in an atom, subtract the number of protons from the mass number.

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Please help with this question asap (true or false question) Protein, carbohydrate, and nucleic acid molecules are the result of smaller molecules bonded together. The process that occurs to attach these smaller molecules to one another is 1. The process by which a cell gets rid of wastes is known as(1) synthesis(2) excretion(3) growth(4) digestion 99 years after the race massacre, where are bodies lying? Write a matlab function that computes the area of a trapezoid with base and heights and . use the function as part of the trapezoid rule toevaluatedthe following integral numerical The distance from Chicago to Cleveland to Cincinnati and back to Chicago is 900 miles. The distance from Chicago to Cleveland is 50 miles more than the distance from Cincinnati to Chicago, and the distance from Cleveland to Cincinnati is 50 miles less than the distance from Cincinnati to Chicago. Find each distance and classify the triangle formed by the three cities. Can someone help me with my geometry hw? Explain the function of the Page Map Table in all of the memory allocation schemes described in this chapter that make use of it. Explain your answer by describing how the PMT is referenced by other pertinent tables in each scheme. The total price of a shirt and a cap is $10. If the price of the shirt was doubled and the price of the cap was four times its original price, the total price of a shirt and acap would be $26. The following system of equations models this scenario:x+y=102x + 4y = 26What is the price of each shirt and cap?A)The price of a shirt is $9, and the price of a cap is $1.B)The price of a shirt is $8, and the price of a cap is $2.C)The price of a shirt is $7, and the price of a cap is $3.D)The price of a shirt is $6, and the price of a cap is $4 The displacement (in meters) of a particle moving in a straight line is given by s=6t^3+1t+4 where t is measured in seconds.Find the velocity of the particle at the times given.Velocity at time t=1, t=2, t=3, and t=a What is the most abundant isotope of Iridium (Ir)?Question 1 options:Iridium-77Iriduium-192Iridium192.22 I need to find the perimeter, can you help me? Simplify by combining like terms. 2 a+3 b+4 a If f(x)=-3 x+7 and g(x)=-7 x+3 , what is the value of f(-3)-g(3) ? a. 40 b. 34 c. 8 d. -8 Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma($2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal places,show both decimal places (5.06).Jerome deposits $3700, in a certificate of deposit that pays 1.8% interest, compounded annually. How much interest does Jerome earn in one year? Social Studies 6 A: Unit Test Page 1 of 1 Profile 1 Microsoft Edgerome/online/lessonViewer_responsive.aspx?header=true&idCourse=129256&idUnit 46204&idLesson 5166548idWebuser-49181078idSection>LESSON 8Unit Test2. Which of the following best shows how the issue of states' rights contributed to the onset ofthe Civil War?E(1 point)O Many Northerners believed that states' rights should not extend to slave states.OMany Southerners believed that giving states additional rights would hold back western expansion.O Many Southerners believed the rights of their states were threatened by Northern abolitionists.O Many Northerners believed the rights of their states were threatened by the election of AbrahamLincoln. The maintenance department that focuses on efficiency at continental airlines may be classified as a(n)__________ HELPPPUse the passages below to answer all parts of the question that follows.In nearly every country touched by the Mongols, the initial destruction and shock of conquest by an unknown and barbaric tribe yielded quickly to an unprecedented rise in cultural communication, expanded trade, and improved civilization. In Europe, the Mongols slaughtered the aristocratic knighthood of the continent, but, disappointed with the general poverty of the area compared with the Chinese and Muslim countries, turned away and did not bother to conquer the cities, loot the countries, or incorporate them into the expanding empire. In the end, Europe suffered the least yet acquired all the advantages of contact through merchants such as the Polo family of Venice and envoys exchanged between the Mongol khans and the popes and kings of Europe. The new technology, knowledge, and commercial wealth created the Renaissance in which Europe rediscovered some of its prior culture, but more importantly, absorbed the technology for printing, firearms, the compass, and the abacus from the East. As English scientist Roger Bacon observed in the thirteenth century, the Mongols succeeded not merely from martial superiority; rather, they have succeeded by means of science. Although the Mongols are eager for war, they have advanced so far because they devote their leisure to the principles of philosophyJack Weatherford, historian, Genghis Khan and the Making of the Modern World, 2004Overall, the Mongol violence and depredations killed up to three-fourths of the population of the Iranian Plateau, possibly 10 to 15 million people. Some historians have estimated that Iran's population did not again reach its pre-Mongol levels until the mid-20th century. [After Genghis Khans children and grandchildren] Persias agony from Mongol invaders was not over, however, as the great conqueror Tamerlane swept south from Central Asia in 1381 and overran the country. Although his initial campaigns were ruthless, and he massacred the Persian indiscriminately, Tamerlane was at his worst when punishing rebellious regions. He leveled Shiraz after a revolt and is alleged to have razed Esfahan and killed more than seventy thousand people, stacking their skulls into a pyramid, to suppress a rebellion there. The steppe warrior king saw the value of the remaining vestiges of the earlier Persian empires, and Tamerlane integrated Persians into administrative roles to help him govern his new empire.Steven R. Ward, historian, Immortal: A Military History of Iran and Its Armed Forces, 2009What is the most important similarity between what each historian says about the Mongols impact on surrounding civilizations?What is the most important difference between what each historian says about the Mongols impact on surrounding civilizations?What is one historical factor which might account for the difference between the two historians views? Write the equation in slope-intercept form. What are the slope and y -intercept?b. -7 x-5 y=35 ?In which line is the climax of the passage reached?Eight dollars a week or a million a year-what is thedifference?For there lay The Combs-the set of combs, side and back,that Della had worshipped long in a Broadway window.O White fingers and nimble tore at the string and paper.The magi, as you know, were wise men-wonderfully wisemen-who brought gifts to the Babe in the manger.#nyem"CDeWemyJinCUR