if the half life of radium-223 is 12 days, how long will it take for 100 atoms of radium-223 to decay with only 25 atoms of radium-223 left?

Answers

Answer 1

It will take 24 days for 100 atoms of radium-223 to decay with only 25 atoms of radium-223 left

What is half life?

Half-life is the time required for a quantity to a radioactive substance reduce to half of its initial value. The term is often used in nuclear physics to describe how quickly an unstable atom radioactively decays or how long a stable atom survives. The term can also be used to characterize any type of exponential decay.

Given,

Half life of radium-223 = 12 days

If 100 atoms decay leaving 25 this means = 3/4 decay

Aₓ = A₀ × [tex](\frac{1}{2}) ^{\frac{t}{t_{1/2} } }[/tex]

Where, Aₓ = the amount left after t years

A₀ = the initial quantity of the substance that has to be decayed

[tex]t_{1/2}[/tex] = the half-life of the decay

So, for 3/4 decay:

A₀ × 1/4 =  A₀ × [tex](\frac{1}{2}) ^{\frac{t}{t_{1/2} } }[/tex]

1/4 =  [tex](\frac{1}{2}) ^{\frac{t}{t_{1/2} } }[/tex]

[tex](\frac{1}{2} )^{2}[/tex] =   [tex](\frac{1}{2}) ^{\frac{t}{t_{1/2} } }[/tex]

[tex]\frac{t}{t_{1/2} }[/tex] = 2

Since, Half life of radium-223 = 12 days

then,

t/12 = 2

t = 12 × 2

t = 24 days

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Related Questions

24. what is the relationship between the number of bonds between two atoms and bond strength? bond length?

Answers

The strength of the bond describes how closely each atom is connected to another atom and how much energy is required to break that connection. The bond length is the average distance between the two atomic nuclei of two molecules that are joined together.

Define bond strength:

The strength of the bond indicates how strongly each atom is bound to another and how much energy is expended in doing so. The force that a chemical bond utilizes to hold two atoms together is known as bond strength. The amount of energy required to break the bond is expressed in terms of the kilocalories per mole.

Define bond length:

The equilibrium separation between the nuclei of two bound atoms in a molecule is referred to as the bond length. The bond length increases with increasing atom size. Bond multiplicity cause decrease in bond length. Rotational spectroscopy, X-ray diffraction, and other methods are used to measure it.

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2. what characteristic must the solvents in a liquid-liquid extraction solvent system share with one another?

Answers

In solvent extraction, we use two solvents. The important characteristic of extracting solvent is it should be immiscible with the second solvent.

What is solvent extraction and why is it important?

Solvent extraction also called liquid-liquid extraction (LLE) and partitioning, is a method to separate compounds based on their relative solubilities in two different immiscible liquids.The main purpose of solvent extraction is to isolate hazardous materials from the sediments and sludge or separate the useful components from debris.

What are immiscible liquids?

Immiscible liquids are those which won't mix to give a single phase.

Oil and water are examples of immiscible liquids.

Thus, in liquid-liquid extraction, the two solvents should be immiscible with each other.

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Bond length. Need help solving with explanation I can understand please

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The bond length or separation between the two nuclei of X in a molecule of X2A with elemental bond length of 2.22A and 4.28A is 6.5A.

What is bond length?

The bond length or bond distance can be defined as the average distance between the nuclei of the bonded atoms in the given molecule. If it is a polyatomic molecule the bond distance can be calculated by adding the atomic radius of all the atoms involved in bonding.

The separation or bond length of the molecule X2A can be calculated as,

The bond length of elemental A = 2.22A

The atomic radius of A = 2.22 / 2 = 1.11A

The bond of elemental X = 4.28A

The atomic radius of X = 4.28 / 2 = 2.14A

The bond length of molecule X2A = (2.14 + 1.11) x 2 = 6.5A.

Therefore, the bond length or separation between the atoms X in the given  molecule is 6.5A.

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Which property would cesium most likely have?
It is hard.
It is ductile.
It is a gas.
It has low reactivity.

Answers

Answer:

It is ductile.

Explanation:

Cesium belongs to group 1 on the periodic table, meaning it is an alkali metal, not a gas. Alkali metals are soft, malleable, and ductile. They are good conductors of heat and highly reactive in nature, meaning cesium is also highly reactive. Therefore, the only option that would make sense is "It is ductile."

two unknown mineral samples, a and b, are rubbed against each other. mineral a scratches mineral b. what can you infer about the minerals?

Answers

Mineral A scratches mineral B, we can infer from here that Mineral A is more harder than Mineral B.

The minerals are the naturally occurring chemical compounds which are found in the earth's layers. Minerals have different properties.

If mineral A is rubbed against mineral B and Mineral A scratches mineral B, we can infer from here that the mineral A is harder than mineral B.

The hardness of the minerals is because of the intermolecular forces between the particles of the minerals. The mineral A might be having strong intermolecular forces in comparison with the mineral B.

This is why when rubbed against each other, the mineral A scratches the particle of the mineral B which has lower intermolecular forces between the particle of the mineral B.

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Complete question - Two unknown mineral samples, A and B, are rubbed against each other. Mineral A scratches mineral B. What can you infer about the minerals?

O Mineral A is harder than mineral B.

O Mineral B is harder than mineral A.

O Mineral A is more dense than mineral B

Mineral B is denser than mineral A.​

sodium bicarbonate is often used as an antacid to neutralize excess hydrochloric acid in an upset stomach. how much hydrochloric acid in grams can be neutralized by 3.5 g of sodium bicarbonate?

Answers

781 g of hydrochloric acid in grams can be neutralized by 3.5 g of sodium bicarbonate.

To find out how much hydrochloric acid in grams can be neutralized by 3.5 g of sodium bicarbonate, we need to know the number of moles of HCl present, then multiply that by the molar mass of NaHCO3.

First, we calculate the number of moles of HCl present by solving for x:

x = Moles x 0.1 mol/L

= (Moles)(0.1 mol/L)(1000 mL)

= 100 mmol

Next, we multiply this number by the molar mass of NaHCO3:

=(84.007 g/mol)x(78.129 g/mol)

= 7.8129 x 100 mmol

= 781 g

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Outline an alternative method and name equipment you could use to collect gas and work out the
volume produced in a more accurate way.

Answers

The alternative method to collect the gas and measure the volume is by a gas syringe.

What is a gas syringe?

Gas syringe is an equipment used to pump or withdraw gas from a closed container and can measure the volume of the gas produced in any chemical reaction.

The volume of the gas produced can be measured by reading the measuring scale on the gas syringe when the plunger moves in a gas syringe.

Hence, gas syringe is an alternative method to collect and measure the volume of the gas in a chemical reaction.

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what is the ph of a buffer with 0.462 m acetic acid and 0.355 m acetate. the ka for acetic acid is: 1.8 x 10-5

Answers

A buffer with 0.462 m acetic acid and 0.355 m acetate has a pH of 4.6. The acetic acid ka value is 1.8 x 10-5.

Buffer solution: What is it?

The pH of a buffer solution won't change when small amounts of an acid or an alkali are added.

Simply put, a buffer solution that is acidic has a pH that is lower than 7. Acidic buffer solutions are normally made using a weak acid and one of its salts, frequently a sodium salt.

Alkaline buffer solution has pH higher than 7. The most common method for producing alkaline buffer solutions is to combine a weak base with one of its salts.

pH = -logKa + log([C₂H₃O₂⁻] / [HC₂H₃O₂])

ph = -log(1.8 × 10⁻⁵) + log(0.355 M / 0.462 M)

ph = 4.6

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calculate the temperature (in k) at which 0.0938 mol of o2 has a pressure of 740 torr in a 1.0l container.

Answers

The temperature (in k) will be 126.509 K

Number of moles of Oxygen = 0.0938 mol

Pressure = 740 torr or 98658.6 Pa

Volume = 1.0 L or 0.001 m3

Temperature in K = ?

To find out the temperature (T) we use the ideal gas equation

    PV = nRT

As we have to find the temperature so rearrange the equation for T

    T = PV / nR

value of R = 8.314 J/mol.K

Put the values in the equation

   V = 98658.6 * 0.001 / 0.0938 * 8.314

   V = 0.000974 / 0.779853

   V = 98.6596 / 0.779853

   V = 126.509 K

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how many coulombs are required to produce 77.0 g of lithium metal from a sample of molten lithium chloride?

Answers

1930 coulombs are required to produce 77.0 g of lithium metal from a sample of molten lithium chloride.

Weight of metal deposited = ECt / 96500, Applied charge= 1930C

Efficiency= 77%

Effective charge=  77/100 (1930)=1486.1C

96500C liberate 1 mole.

1447.5C liberates 1486.1 / 96500  moles = 0.0154 moles .

What is Molten lithium chloride ?

LiCl-Li, a molten mixture of metallic lithium and lithium chloride, are crucial to the electrolytic reduction of a variety of metal oxides. Researchers have been studying these mixes' distinctive high temperature physical and chemical characteristics for decades.

Lithium metal is primarily made from lithium chloride by electrolyzing a LiCl/KCl melt at 450 °C (842 °F). LiCl is additionally employed in automotive parts as an aluminum brazing flux. As a desiccant, it dries out air streams.

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3. a student required 0.40 ml more naoh than she calculated she would need in question 1. explain how this might happen.

Answers

A student required 0.40 ml more NaOH than because it will use unstable indicator.

Chemical indicator, any substance which indicates visibly the existence or disappearance of a threshold concentration of such a chemical species, for instance an acid or a caustic in a solution, typically through a color change. One such chemical is methyl yellow, which gives an alkaline liquid a yellow color.

Indicators were weak acids as well as bases which exhibit a colour change when hydrogen ion quantity in a solution varies or as a solution's pH changes. In the water, the indicators gently separate to produce ions. Indicators include things like Litmus, turmeric, phenolphthalein, etc.

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which group in the periodic table contains elements with the valence electron configuration of ns2np1?

Answers

group j neptunium Atomic number 93

what is the concentration of hydroxide ions after 50.0 ml of 0.250 m naoh is added to 120 ml of 0.200 m na2so4? please show all work.

Answers

The concentration of the hydroxide ions after 50 ml of 0.250M NaOH is added to 120ml of 0.200M Na2SO4 is 7.35 x 10^-2 M.

What is meant by concentration?

Concentration is the total amount of solute present in the given volume of solution. this is expressed in terms of molarity, molality, mole fraction, normality etc. The term concentration mostly refers to the solvents and solutes present in the solution.

Concentration of hydroxide ions can be calculated by,

M (OH^-) = V (NaOH) x M (NaOH) / V (total) = 50ml x 0.250M / 50ml + 120ml = 0.0735M = 7.35 x 10^-2 M.

where M (OH^-) = concentration of hydroxide ions, V(NaOH) = volume of NaOH, M(NaOH) = concentration of NaOH.

Therefore, the concentration of the hydroxide ions after 50 ml of 0.250M NaOH is added to 120ml of 0.200M Na2SO4 is 7.35 x 10^-2 M.

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. at the beginning of his experiment, josh has 10 g of element a and 10 g or element b. when finished with the experiment, josh has 20 g of element a and b combined. this demonstrates what law?

Answers

josh has 10 g of element a and 10 g or element b. when finished with the experiment, josh has 20 g of element a and b combined. This demonstrates ' Law of conservation of mass'.

In a closed system, mass cannot be created or destroyed, but it can be changed from one form to another. Thus, mass of a system remains same before and after the reaction.

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What can you say to the movie san andreas you've watch?

Answers

It appears that your answer contains either a link or inappropriate words. Please correct and submit again!

This is what it keeps saying when I want to answer so I have commented my answer below:

what is the component of colloid solutions that is helpful in managing hypovolemic shock through the intravenous route?

Answers

The component of colloid solutions that is helpful in managing hypovolemic shock through the intravenous route is option 3 Starches.

A colloid is an aggregate wherein one substance inclusive of microscopically dispersed insoluble debris is suspended throughout another substance. some definitions specify that the debris needs to be dispersed in a liquid, even as others expand the definition to encompass substances like aerosols and gels.

Colloids and crystalloids are two types of solutions used to replace lost blood fluid (plasma). They encompass blood and artificial products. each colloid and crystalloids seem like in addition powerful at resuscitation. There are one-of-a-kind varieties of colloids and those may have exceptional consequences.

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Disclaimer:- your question is incomplete, please see below for the complete question.

what is the component of colloid solutions that is helpful in managing hypovolemic shock through the intravenous route?

1. Salts

2. Sugars

3. Starches

4. Minerals

I WILL GIVE BRAINLY PLS HELP

Answers

Answer:

Ice wedging

Explanation:

The rocks crack fill with water and then expand

How many moles in 3.22 g of aluminum chloride?

Answers

3.22 g containing aluminum chloride contains 0.0241486951 moles, making 1 mole of an element's atoms weigh the same as its atomic mass in grams.

Why would one use aluminum chloride?

Rubber, lubricants, wood preservers, and paints are all made in large part using aluminum chloride. In both medications and pesticides, it is utilized. while melting aluminum, as a flux Antiperspirant is how you apply it.

For what purpose does deodorant contain aluminum chloride?

Cosmetic and pharmaceutical goods frequently contain aluminum compounds. The components that stop sweating in antiperspirants are aluminum salts. To prevent sweat from collecting on your pores' surface, the salts must dissolve.

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Does alcohol really burn off when cooking? what are the possible substitutions for alcohol in recipes?.

Answers

Answer:Does alcohol really burn off when cooking? what are the possible substitutions for alcohol in recipes?

Explanation:

The longer you cook, the more alcohol cooks out, but you have to cook food for about 3 hours to fully erase all traces of alcohol. A study from the U.S. Department of Agriculture's Nutrient Data lab confirmed this and added that food baked or simmered in alcohol for 15 minutes still retains 40 percent of the alcohol.

atoms from which of the following pairs are most likely to form an ionic bond? a) carbon and oxygen b) silicon and oxygen c) sodium and oxygen d) sulfur and oxygen

Answers

Atom pairs that are most likely to form an ionic bond is sodium and oxygen.

Thus, the correct option is C.

What is an ionic bond?

А pаir of elements will most likely form аn ionic bond if one is а metаl аnd one is а nonmetаl. These types of ionic compounds аre composed of monаtomic cаtions аnd аnions. We cаn check the periodic tаble to see thаt the cаtions аre monаtomic ions formed from metаls, аnd the аnions аre monаtomic ions formed from nonmetаls.

Sodium is a metal, and oxygen is a nonmetal; therefore, [tex]N_{2} O[/tex] is expected to be ionic.

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assume that you have produced the amount of 2-methylbenzoic acid from the previous question. what volume, in ml, of 6m naoh would you need to fully deprotonate the 2-methylbenzoic acid?

Answers

If we assume that you have produced the required amount of 2-methylbenzoic acid, then we would require 4.2 ml of 6m NaOH to completely deprotonate the 2-methylbenzoic acid.

Benzoic acid is more acidic than 2-methylbenzoic acid. because the +R (electron donating) nature of the methyl group causes the negative charge on the oxygen atom to become destabilized when the latter ions form 2 methyl benzoate ion. Consequently, it wouldn't have a propensity to emit H+.

An inorganic substance having the formula NaOH is sodium hydroxide, sometimes referred to as lye and caustic soda. Sodium cations and hydroxide anions make up this white solid ionic combination.

volume of 6 m NaOH = 6 1.8 = 4.2 ml.

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what is the ph of a solution made by mixing 40.00 ml of 0.100 m hcl with 25.00 ml of 0.100 m koh? assume that the volumes of the solutions are additive.

Answers

The pH of the solution which was made by mixing 40ml of 0.100 M HCL with 25.00ml of 0.100 M KOH is 1.669.

The base and the acid have the same molarity, but the acid's volume is more than the bases' volume, hence after mixing the resultant solution is acidic.

The concentration of OH⁻ solution in the mixture is

= (molarity of base * volume of base - molarity of acid * volume of acid) / total volume

= (40 mL*0.1M - 25 mL *0.1 M ) / (40 mL +25mL)/ 1000)

= 0.021428571 M

pH = -log(0.021428571) = 1.669

Hence the pH is 1.669

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hydroxide ion is a stronger nucleophile than either water or ethanol, yet the addition of koh during the kinetic runs in this experiment has virtually no effect on the reaction rates. explain.

Answers

catalytic process, A Ni catalyst is required for amide and alcohol to make the right esters. hydroxide ion is a stronger nucleophile than either water or ethanol,

In general, catalytic activity is a chemical interaction between a catalyst and a reactant that yields chemical intermediates more readily able to react with one another or with another reactant to yield the desired end product. Catalysis is the process of accelerating a chemical reaction by adding a catalyst to it. Catalysts are unaffected by and are not destroyed by the reaction.

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three atoms have the following ground state electron configurations. which statement regarding the atoms is true? atom 1: 1s22s22p63s23p2 atom 2: 1s22s22p63s23p5 atom 3: 1s22s22p63s23p64s1 group of answer choices g

Answers

Answer:

atom1:1s22s22p63s23p2

which fossil fuel can be made to burn cleaner and reduce carbon dioxide emissions if it is combined with purified oxygen?

Answers

Fossil fuel can be made to burn cleaner and reduce carbon dioxide emissions if it is combined with purified oxygen is coal.

Coal can be made to burn cleaner and reduce the carbon dioxide it it will combine with the purified oxygen. coal is type of fossil fuel. coal is black in color or brownish black. the fossil fuel coal is made up of plant. the plant gets their energy from the sunlight so, it is clear that col is from sun.  fossil fuels are non renewable source of energy.

Thus, Fossil fuel can be made to burn cleaner and reduce carbon dioxide emissions if it is combined with purified oxygen is coal.

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How would switching to solar power affect a city environment?

Answers

The ability of solar energy to lower greenhouse gas emissions is the first and possibly most well-known advantage of this technology. This occurs as a result of solar energy as a coal energy substitute (the production of which harms the environment). Solar energy generation and consumption don't contribute to air pollution or the release of greenhouse gases.

As a result, making the simple effort to get in touch with local solar providers and switching to sustainable energy can have a significant long-term benefit.

Overall, switching to renewable energy will enable you to achieve your goals for sustainable living while also saving money. For instance, using solar energy lowers greenhouse gas emissions. Additionally, it prevents stress on the ecosystem and the world's water supply.

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d. very polar compounds are sometimes purified by reverse phase chromatography where the stationary phase is very non-polar while the solvent is very polar. why would this technique be beneficial with extremely polar compounds?

Answers

very polar compounds are sometimes purified by reverse phase chromatography where the stationary phase is very non-polar while the solvent is very polar.  this technique be beneficial with extremely polar compounds as it provides better solubility for the polar analytes.

The chromatography is the best technique to purified the organic compounds. if the stationary phase is polar it takes more times for polar molecule to absorbed in stationary phase. that's why we use reverse chromatography for the purified more polar compound.

Thus, very polar compounds are sometimes purified by reverse phase chromatography where the stationary phase is very non-polar while the solvent is very polar.  this technique be beneficial with extremely polar compounds as it provides better solubility for the polar analytes.

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what is the molarity of an ethanol (c2h6o) solution that was prepared by dissolving 50.500 g of ethanol into water to a final volume of 750.0 ml? assume the solution has a density of 1.20 g/ml.

Answers

The molarity of the ethanol is 11.29M .

What is molarity ?

Molar concentration, also known as molarity, amount concentration, or substance concentration, is a unit used to describe the amount of a substance in a solution expressed as a percentage of its volume. The number of moles per litre, denoted by the unit symbol mol/L or mol/dm3 in SI units, is the most widely used unit for molarity in chemistry. One mol/L of a solution's concentration is referred to as one molar, or 1 M.

The mass of one mole of ethanol is 46.07 g/mol.

The number of mole in 50.500 g ethanol is 50.500/46.07 = 1.096158 mole.

We know that,

Mass = Density × Volume.

The final volume of the solution 750.0ml and the density of the solution is 1.20g/ml.

The mass of the solution is 1.20g/ml × 750.0ml = 900 gm.

The mass of water is (900-50.500) = 849.5 gm.

So the term molarity is defined as:

One of the most common units of concentration, expressed in M. It is defined as no moles of solute in 1 liter of solution.

The molarity of the solution is:

(1.09615 × 1000)/ 849.5  = 1.29M (approx.).


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an ideal gas sample has a certain volume at 350 k and 1 atm. the volume of the same sample at stp will be closest to the volume at 350 k and 1 atm multiplied by:

Answers

0.78 m³ is the volume of the same sample at standard temperature and pressure(stp) will be closest to the volume at 350 k and 1 atm.

What is ideal gas?

The ideal gas law (PV = nRT) explains how the macroscopic properties of ideal gases are connected. The particles in an ideal gas are those that: (a) do not interact with one another; and (b) take up no space (have no volume). The ideal gas law does provide a good approximation of real gas behavior in many circumstances, but no gas is truly ideal.

PV = (nRT)

Where;

P₁ = initial pressure = 1 atm

V₁ = initial volume = 1 m³

T₁ = initial temperature = 350 k

P₂ = final pressure = 1 atm

V₂ = final volume = ?

T₂ = final temperature = 273 k

P₁V₁ / T₁ = P₂V₂ / T₂

Solving for V₂;

V₂ = P₁V₁T₂ / P₂T₁

V₂ = 1 × 1 × 273/350

V₂ = 273/350 m³

V₂ = 0.78 m³

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a solution is prepared by dissolving 15.5 g of naoh in 1.50 l of solution. what is the molarity of this solution?

Answers

The molarity of a solution that is prepared by dissolving 15.5 g of NaOH in 1.50 L of solution is

How is molarity of solution calculated?

The given values are,

volume = 1.50 L

weight of NaOH = 15.5 g

Mass NaOH= 40 g/mol

Therefore, moles of NaOH is = weight / mass

                                                 = 15.5 / 40

                                                 =  0.3875

We know,

Molarity= moles of NaOH / volume

             = 0.3875 / 1.50

             = 0.25833 M NaOH

Therefore, we get the molarity of this solution as 0.25833 M NaOH

What is molarity of a solution?

Molarity is defined as the number of moles of solute dissolved in one liter of solution. Also called molarity and represented by the letter "M". Molarity formula M = n/v where M is the molarity n is the number of moles v is the total volume of the solution in liters.

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