gas of unknown molecular mass was allowed to effuse through a small opening under constant pressure conditions. it required 57 s for 1.0 l of the gas to effuse. under identical experimental conditions it required 26 s for 1.0 l of o2 gas to effuse. calculate the molar mass of the unknown gas.

Answers

Answer 1

The molar mass of the other gas is 153.79 g/mol

Step 1: The Data given,

It required 57 s for 1.0 L of the gas to effuse.

Under identical experimental conditions it required 26 s for 1.0 L of O2 gas to effuse.

Step 2: Calculate the molar mass

Graham's law of effusion says:

r1/r2 = √(M2/M1)

⇒ with r1 = effusion rate 1 = L/57s

⇒ with r2 = effusion rate 2 = L/26s

⇒ with M1 = molar mass of the gas = x g/mol

⇒ with M2 = molar mass of oxygen = 32 g/mol

We should be careful if we plug in the effusion rate. Because the fractions could flip if we don't give the effusion rates as numeral values.

(L/57s)/(L/26s) = 26/57 = √(32/M1)

26/57 =√(32/X)

(26/57) ² = 32/X

0.208064 =32/X

X = 32/0.208064

X = 153.79 g/mol

Hence, The molar mass of the other gas is 153.79 g/mol

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Related Questions

A compound of hydrogen, chlorine, and carbon has a simplest formula of CCIH₂. If in one of its molecules there are two carbon atoms, find its molar mass.​

Answers

Answer:

99 g/mol

Explanation:

2 carbon atoms in one molecule means double all the other atoms

(12*2)+(35.5*2)+(1*4)=99g/mol

Write about a time when you experienced or witnessed a microaggression. Connect how you felt to how an element may feel when their electrons are taken away. How do microaggressions relate to ionization energy? How could we use this to explain ionization energy to someone who is not familiar with chemistry?

Answers

A  time when you experienced microaggression was when i wnet to college in another state. The lecturer in one of my course was very angry that i left my tribe, my state to another state to study. There was element of mockery in his voice.

I felt sad, angry and also bad at the same time. I just wanted to run away from the class because all eyes were on me.

Microaggressions relate to ionization energy through the power they command or hold. I can explain Microaggressions  as ionization energy to someone  as having the power to aggressively give out a part of you that can be good or bad.

What is an example to clarify what ionization energy is?

Ionization energies gauge an atom's propensity to resist losing electrons. For instance, removing an electron from a neutral fluorine atom to create a positively charged ion requires a significant amount of energy.

Note that Microaggressions are everyday verbal, behavioral, or environmental slights that signal hostility, denigration, or negative views toward stigmatized or culturally marginalized groups. They can be deliberate or inadvertent. Chester M., a psychiatrist at Harvard University, originated the phrase.

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Which of the following elements will NOT form
an ion with a -1 charge?

A)Lithium
B)Fluorine
C)Iodine
D)Chlorine

Answers

Answer:

Fluorine does not form an ion with a charge of 1+.

Suppose a man is sitting on a chair and exerting 100 N of force downward, while a spring beneath the chair exerts 150 N of force upward. If you assign a negative value to the downward force, what is the net force of this system? (1 point) O 50 kg O 50 N O 250 N -50 N​

Answers

A man is sitting on a chair and exerting 100 N of force downward, while a spring beneath the chair exerts 150 N of force upward. The net force acting on the system is in the upward direction with a magnitude of 50N.

Force is the product of mass and acceleration which is dependent on the rate of change of momentum.

According to the given question,

Magnitude of force in the downward direction = 100N

Downward force = 100N

Magnitude of force in the upward direction = 150N

Upward force = -150N

Net force on the system = Upward force + Downward force

Net force on the system = -150N + 100N

Net force on the system = -50N

Hence, the net force acting on the system is in the upward direction with a magnitude of 50N.

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Answer: 50N

Explanation:

30 years ago, 22.5% of the population—45 out of 200 people—were taller than 1.2 meters. Currently, at least 1.2 meters tall people make up 50.5% of the population. Individuals who are under 1.2 meters tall have dramatically dropped throughout the course of the two years of data. This information lends credence to the claim that directed selection is taking place.

Answers

The evidence in the question shows that there is a directional evolution that is taking place as the percentage of the tall individuals is increasing.

What is directional selection?

We know that the term natural selection implies that the organisms that are are better able to live and survive in a habitat are the ones that are able to live longer and reproduce and by so doing, they are able to transfer the favorable traits that they posses to their offspring.

Now we can also relate to the fact that the idea of directional selection is takin place when there is a situation in which the trend in the evolution seems to favor only one type of trait over another the other type of trait and this leads to a gradual increase in the abundance of the favored trait in the population.

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what is the empirical formula of a compound containing c, h, and o if combustion of a 0.500-g sample of the compound produces 0.955 g co2 and 0.587 g of h2o? (put a number in every blank, even if it is a 0 or 1.)

Answers

The empirical formula of a compound containing c, h, and o is C₂H₆O₁.

In chemistry, the empirical formula represents the simple whole-number ratio of the atoms which are present in the compound. The initial step is to calculate and determine the masses. The next step which follows is to calculate the number of moles by dividing the grams by the atomic mass. Next, the number of moles is divided by each element by the smallest number of moles. Finally, we convert numbers to whole numbers since we don't represent empirical formulas in decimals.

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1. what is the impedance of an ac series circuit that is constructed using a 10.0-ohm resistor and a 12.0-ohm inductive reactance and a 7.0-ohm capacitive reactance?

Answers

The impedance of an AC circuit with 10 ohm resistor, 12 ohm inductive reactance and 7 ohm capacitive reactance is 11.2 ohm.

What is impedance?

Impedance is the resistance of a circuit to AC which is caused by the combining effects of ohmic resistance and reactance. It is represented by the symbol Z and its unit is ohm. It is a measure of opposition to electric flow.

The impedance of an AC circuit can be calculated by,

Z = [(R^2) + (XL - XC)^2]^1/2

where R = resistance, XL = inductive reactance, XC = capacitive reactance

Z = [(10^2) + (12 - 7)^2]^1/2 = (100 + 25)^1/2 = 11.2 ohm.

Therefore, the impedance of an AC circuit with 10 Ohm resistor, 12 ohm inductive reactance and 7 ohm capacitive reactance is 11.2 ohm.

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what is the iupac name for the compound shown? a six carbon ring with an oxygen atom double bonded to one of the carbon atoms in the ring.

Answers

cyclohexanone is the compound which is shown.

what is cyclohexanone-

The chemical substance known as cyclohexanone has the formula (CH2)5CO. The compound is a six-carbon cyclic molecule with a functional group called a ketone.

IUPAC (International Union of Pure and Applied Chemistry) nomenclature is based on the naming of a molecule's longest chain of carbons connected by single bonds, whether in a continuous chain or in a ring.

six-carbon ring with oxygen bonded to one of the carbon atoms in the ring is cyclohexanone.

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what causes the lines in these spectra? why are the colors of the lines different? suggest a reason for the observation that the spectrum of calcium is more complicated than the spectrum of hydrogen.

Answers

Transitions of electrons within atoms or ions form spectral lines at different rungs which leads to emission of lines of different colors. Spectrum of calcium is more complicated than the spectrum of hydrogen because calcium atom have more electrons than hydrogen.

What are spectral lines?

A spectral line in an otherwise smooth and continuous spectral is a dark or bright line resulting from the emission or absorption of light in a narrow frequency range compared to adjacent frequencies. Spectral lines are frequently used to identify atoms and molecules.

The spectral lines arise from electron transitions within an atom or ion. As electrons move toward or away from the nucleus (or ion) of an atom, they release or absorb energy in the form of light (or other radiation).Electrons fall on the lower rung and emit light with the energy of the rung difference. This allows different atoms to emit different colors of light.Calcium has a more complex spectrum. Because calcium has more electrons than hydrogen, there are more possible electronic states and transitions.

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PLEASE ANSWER FAST
In an ionic bond between 2 sodium atoms and an oxygen atom, what resulting charge would each atom have?

Answers

Answer:

Explanation:

Ionic bonds form between two or more atoms by the transfer of one or more electrons between atoms. Electron transfer produces negative ions called anions and positive ions called cations. These ions attract each other.

Explanation: An ionic bond is formed because sodium is a part of the Alkali metals and Oxygen is a non-metal and a gas. 4Na + O2 → 2Na2O (s) OR Na + O2 → NaO2 (s).

Answer:

Explanation:

Ionic bonds form between two or more atoms by the transfer of one or more electrons between atoms. Electron transfer produces negative ions called anions and positive ions called cations. These ions attract each other.

how many milliliters of a 12% (v/v) propyl alcohol solution would you need to obtain 4.5 ml of propyl alcohol

Answers

38.1 ml of a 12% (v/v) propyl alcohol solution would need 4.5 ml of propyl alcohol.

What purpose does the isopropyl alcohol solution serve?

A transparent liquid known as propyl alcohol is frequently used to destroy germs (antiseptic).When carbon monoxide and hydrogen are used to create methanol (methyl alcohol), normal (n-) propyl alcohol is produced as a byproduct. Fusel oil contains it as well.As a rubbing alcohol antiseptic, isopropyl alcohol is combined with water. Additionally, it's a component of hand lotions, aftershave products, and other cosmetics. It is employed in industry as a low-cost solvent for gums, shellacs, drugs, cosmetics, and denatured ethanol.

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How can you describe carbohydrates

Answers

Carbohydrates are known as which are proteins and fats in an animal or a human

A car travels 45 km at a speed of 60 km/h. How long does it take the car
to reach its destination?

Answers

Answer:

45 mins

Explanation:

it takes 45 minutes long

Question 9(Multiple Choice Worth 4 points)
(01.03 MC)
Ô
Object A has a mass of 12 g and a volume of 8 cm³. Object B has a mass of 20 g and a volume of 8 cm³. Which object has a greater density and by how much?
O Object A, by 1 gram per cubic centimeter
O Object A by 8 grams per cubic centimeter
O Object B, by 1 gram per cubic centimeter
O Object B, by 8 grams per cubic centimeter

Answers

According to the given statement Object B, by 1 gram per cubic centimeter object has a greater density.

What is density ?

The measure of how densely a substance is pressed together is called density. As the weight per unit volume, it meets that definition. The formula for density, denoted by the symbol D, is given as follows: density = m/V, where m denotes the object's mass and V its volume.

Does mass affect density?

Mass and volume are intimately linked with density. In reality, it explains the precise nature of the connection between the two. By dividing the mass of an object by its volume, we may get its densities. The mass is said to have a low population density if it has a high volume but a tiny mass.

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30 points A 4-column table with 3 rows. The first column titled compound has entries A, B, C. The second column titled melting point (degrees C) with entries negative 183, 660, 772. The third column titled boiling point (degrees C) has entries negative 164, 2467, 1600. The fourth column titled conducts electricity has entries no, yes, yes.
Which compound is most likely a covalent compound?

Answers

The compound that is covalent is the compound A.

Which one is a covalent compound?

We know that the forces that holds the molecules of an ionic substance together is so strong that the ionic substances are known to have a high melting and a high boiling point. Thus, it is already clear that the compounds B and C are both ionic because they are highly conducting and they also have a high melting and boiling point.

The compound A has a low melting and boiling point and also does not conduct electricity. This goes to tell us that A is a covalent compound.

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Answer:

compound A

Explanation:

edge 2023

The higher the frequency of light, the ___ its wavelength and the ___ its energy.

a. longer, lower

b. longer, higher

c. shorter, lower

d. shorter, higher

Answers

Answer:

c

Explanation:

silicon nitride (si3n4) is made by a combining si and nitrogen gas (n2) at a high temperature. how much (in g) si is needed to react with an excess of nitrogen gas to prepare 125 g of silicon nitride if the percent yield of the reaction is 95.0%?

Answers

The amount of Si needed to react with an excess of nitrogen gas to prepare 125g of silicon nitride if the percent yield of the reaction is 95% is 88.20 g.

We know that,

Percentage (%) yield = ( actual yield /theoretical yield ) × 100

Using this we can derive that,

Theoretical yield = (Actual yield / Percentage(%) yield) × 100

= (125 / 85) × 100 = 147.06g Si₃N₄

The mole ratio of Si: Si₃N₄ = 3 :1

Grams of Si required to produce 147.06 g  Si₃N₄,

= ( 3 mole Si /1 mol Si₃N₄) ( 28.05 g Si /1 mole Si) * (1 mole Si₃N₄, /140.3 g Si₃N₄,) *147.06 g Si₃N₄

=  88.20 g Si

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Which of these is NOT a neutralisation reaction?

Answers

Answer:

Magnesium + hydrochloric acid → magnesium chloride + hydrogen

why? because the product of a neutralization reaction are always a salt and water. This reaction is the only one which does not have water as a product, so it is not neutralization.

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If you were camping in a rainforest for two days, your presence would cause many changes to the
surroundings. Describe two physical and two chemical changes that could occur as a result of your
experience

Answers

Here are 3 alkali metals with physical and chemical similarity.

What is alkali metals?

Alkali metals are come from the fact that when these metals or their oxides dissolved in water.a basic solution results.

Three alkali metals -

1- hydrogen(H)

2-lithium(Li)

3-potassium(K)

physical and chemical similarity of hydrogen -

-it is colourless and tasteless in nature.

-it is a combustible gas but not a supporter of combustion.

physical and chemical similarity of lithium -

-it have a melting point of 180.54

-it is the lightest of all metals,with a density approximately half that of water.

physical and chemical similarity of pottasium -

- this metal is soft and white with a silver lustre.

-it imparts a lavender colour to a flame, and it's vapour is green.

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One mitigating strategy for ______________ is______________. I learned that people need to do _____________to mitigate the effects of___________

Answers

Answer:

One mitigating strategy for planning and zoning is to protect people and the environment from the nuisance impacts of facilities like landfills, sewage treatment plants and factories through land use planning tools. I learned that people need to Reduce greenhouse gas emissions through their food choices to mitigate the effects of using Renewable energy.

a sample of he gas has a volume of 322 ml and a pressure of 0.9 atm. what will be the pressure, in atm, if the sample of helium is compressed to 125 ml?

Answers

The pressure, in atm, if the sample of helium is compressed to 125 ml is 2.32 atm

An ideal gas is a theoretical gas composed of many randomly transferring factor particles that aren't difficult to interparticle interactions. the best gasoline idea is beneficial because it obeys the precise gas law, a simplified equation of country, and is amenable to evaluation under statistical mechanics.

Volume is a degree of occupied three-dimensional space. it's far more frequently quantified numerically the usage of SI-derived gadgets or by way of diverse imperial gadgets. The definition of length is interrelated with the extent.

Using the ideal gas equation:-

At constant temperature

Given;

P₁ = 0.9 atm

V₁ = 322 ml = 0.322 L

P₂ = ?

V₂ = 125 ml = 0.125 L

P₁V₁ =P₂V₂

P₂ = P₁V₁ /V₂

    = 0.9 × 0.322 /0.125

    = 2.32 atm

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22) in the polysaccharide amylose, large numbers of monosaccharides are linked together through . a) alpha 1-4 glycosidic linkages b) beta 1-4 glycosidic linkages c) alpha 1-6 glycosidic linkages d) beta 1-6 glycosidic linkages e) none of the above

Answers

In the polysaccharide amylose,a large number of monosaccharides are linked together through alpha 1-4 glycosidic linkages.

Alpha 1-4 linkage is a stored form of sugar in plant. In this carbon atom 1 and 4 of the the two monomers forms a glycosidic bond. Polysaccharides are long chain forms of monosaccharides linked together by glycosidic bonds.A glycosidic bond is a covalent bond that joins a carbohydrate molecule to another group.this bond gives glycogen that is suitable for energy storage.

Amylose is plant starch made from monosaccharide connected through alpha 1-4 linkages.monosaccharides are the simplest form of sugar.from monosaccharides, all carbohydrates are built.

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hydrochloric acid, hcl, is frequently used for titrations, but making a precise molarity of hcl is very difficult. instead, an approximate solution of hcl is made and then analyzed by titration with sodium hydroxide to determine its precise molarity. the titration reaction is hcl naoh nacl h2o. if 26.18 ml of 0.0995 m naoh is required to titrate 25.00 ml of hcl, what is the molarity of the hcl?

Answers

The molarity of the HCl 0.104 M

What is molarity?

Molarity of a solute is defined as the ratio of number of moles of solute to the volume of solution (L). Solute molarity is sometimes omitted by enclosing the solute chemical formula in square brackets. For example, the concentration of chloride ions in solution can be written as  [Cl⁻]. Molarity allows you to convert between the volume of a solution and the moles (or mass) of a solute.

For the given case,

HCl + NaOH --> NaCl + H2O

Since,

M₁V₁ = M₂V₂

M₁ = concentration of NaOH

V₁ = volume of NaOH

M₂ = concentration of HCl

V₂ = volume of HCl

Substitute the given values in the equation mentioned above:

26.18 × 0.0995 = M₂ × 25.00

2.60491 = 25 M₂

M₂ =  0.104 M

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how would you observe the spectra of elements with higher ionization energies such as hydrogen or helium?

Answers

If a hydrogen atom could have any value of energy, then a continuous spectrum would have been observed, similar to blackbody radiation.

What is ionization energy ?

Ionization energy (also called ionization potential) is the amount of energy required to remove an electron from an isolated atom or molecule in chemistry and physics. There is an ionization energy for each successively removed electron. However, the ionization energy associated with the removal of the first (most loosely held) electron is most commonly used.

The ionization energy of a chemical element, expressed in joules or electron volts, is usually measured in a discharge tube in which rapidly moving electrons produced by an electric current collide with gas atoms of the element, releasing one of them. will be electronic.

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a gas mixture of xe, ne, and ar has a total pressure of 12.20 atm. what is the mole fraction of xe if the partial pressures of ne and ar are 2.10 and 4.50 atm, respectively?

Answers

6.6  is the mole fraction of xe if the partial pressures of ne and ar are 2.10 and 4.50 atm, respectively.

Why is partial pressure called?

The idea of partial pressure is driven by the fact that each individual gas contributes to the overall pressure in a given proportion, which corresponds to its partial pressure. In order to characterize all the pieces, it is essentially equivalent to taking a % or proportion of the whole.

Briefing:

The total pressure is equal to the sum of the individual pressures, according to Dalton's law.

Ptotal = total pressure of gases = 12.20 atm

Pne = partial pressure of ne = 2.10 atm

Par = partial pressure of ar = 4.50 atm

Pxe = partial pressure of xe = ?

putting in the values we get:

12.20 = 2.10 + 4.50 + Pxe

Pxe = 5.6

We employ Dalton's law to determine the solution's vapor pressure, which is:

Ptotal = (Pxe + Xxe)

We are given:

Pxe = partial pressure of xenon = 5.6

Xxe = mole fraction of xenon = ?

Using the values in the aforementioned equation, we get:

12.20 = (5.60 * Xxe)

Xxe = 6.6

The mole fraction of Xe is 6.6 as a result.

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a certain aqueous solution boils at 375.60 k (at 1 atm). at what temperature does the same solution freeze?

Answers

The aqueous solution here would freeze at -9.163 degree celsius.

The temperature at which it boils is 375.60 K. This gets converted into Celsius = 102.45-degree Celsius (i)

The standard temperature of boiling is = 100 degree Celsius (ii)

The standard temperature of freezing is = 0 degrees celsius (iii)

We know the formula -  

Depression in cooling/ Elevation in boiling = [tex]K_{b}[/tex] / [tex]K_{f}[/tex] (iv)

The standard values for both Ks are 0.5 and 1.87 respectively. (v)

Using the given values of (i), (ii), (iii), (iv), and (v), we find that -

= (102.45 - 100.00) / (0 - x) = 0.5 / 1.87

x, here is the temperature for freezing.

= Temperature at which it freezes = - 9.163 degree Celsius.

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the conversion of carbon dioxide to carbonic acid can be catalyzed by carbonic anhydrase with an activation energy of 85.6 kj mol-1at 25c. by what factor will the rate constant increase if the temperature is raised to 37c?

Answers

7.133 is the rate constant increase if the temperature is raised to 37c.

factor=rate(T2)/rate(T1) .

The proportionality constant (k) that links the pace of the reaction to the concentrations of reactants is known as the specific rate constant. For any chemical reaction, the rate law and the particular rate constant must be ascertained through experimentation. Temperature affects the rate constant's value.a chemical reaction in which two or more substances interact and change into new ones, or where one substance transforms into another.

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1.00 L aqueous solution containe nod 5.80 g of sodium hydroxide, NaOH. What was the pH of the solution at 25°C? (Hint: strong acid and strong base titration, use limiting reactant)

Answers

The pH of the solution is 13.16.

What is the pH of the base?

We know that the pH has to do with the concertation of  the hydrogen ions that we have in the solution. We have to first obtain the concentration of the hydroxide ions and then use that to obtain the pH of the solution accordingly.

Number of moles of NaOH = 5.80 g/40 g/mol = 0.145 moles

Concentration of the solution =  0.145 moles/1 L =  0.145 M

pOH = - log( 0.145 M)

= 0.84

pH = 14 - 0.84

= 13.16

We can get the pH of the solution as 13.16.

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Without stratospheric ozone (o3), harmful solar radiation would cause gene alterations. ozone forms when the bond in o2 breaks and each o atom reacts with another o2 molecule. it is destroyed by reaction with cl atoms formed when the c―cl bond in synthetic chemicals breaks. find the wavelengths of light that can break the c―cl bond and the bond in o2. give your answers in scientific notation.

Answers

The wavelengths of light that can break the Cl-Cl bond and the bond in O₂ will be λ = 3.53 × 10⁻⁷ m and λ =2.4 × 10⁻⁷ m respectively.

Cl-Cl- Bond energy (E)= 339 KJ/mol

O=O Bond energy (E)= 498 KJ/mol

h = 6.626 × 10⁻³⁴ J.s

c = 3 × 10⁸ m/s

N = 6.02214076 × 10²³

For Cl-Cl bond

  We will use the following formulae

     λ = Nhc/E (for one mol photons)

  Put the values

λ = [(6.02214076 × 10²³ p/mol)(6.626 × 10⁻³⁴ J.s)(3 × 10⁸ m/s) / (339 × 10³ J/mol)] × 1 nm / 10⁻⁹ m

    λ = 353 nm

    λ = 3.53 × 10⁻⁷ m

For O=O bond

  We will use the following formulae

     λ = Nhc/E (for one mol photons)

  Put the values

λ = [(6.02214076 × 10²³ p/mol)(6.626 × 10⁻³⁴ J.s)(3 × 10⁸ m/s) / (498 × 10³ J/mol)] × 1 nm / 10⁻⁹ m

    λ = 240 nm

    λ = 2.40 × 10⁻⁷ m

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Write a nuclear equation for plutonium-241 emitting gamma radiation?

Answers

⁹⁴Pu₂₄₄-------> ⁹⁵Am₂₄₃ + electron is a nuclear equation for plutonium emitting gamma radiation

What radiation does plutonium 241 emit?

Alpha particles plutonium is created in an activator when uranium atoms absorb neutrons. Nearly all plutonium is man-made. Plutonium mainly emits alpha particle is a type of radiation that is easily ceased and has a short range. It also emits neutrons, beta particles, and gamma rays. It also emits neutrons, beta particles, and gamma rays.

It is contemplated toxic, in part, because if it were to be inhaled it could deposit in the lungs and finally cause damage. There are five common isotopes of plutonium because it emits alpha particles, plutonium is most menacing when inhaled.

So we can conclude that Plutonium isotopes emit alpha rays except for plutonium-241 for which the energy of beta electrons is curiously low.

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the ground state electron configuration ofor the snigle electron in the hydrogen atom is 1s^1. what are the values of the ml and ms quantum numbers for this electron? Zahra and some friends are going to the movies. At the theater, they sell a bag ofpopcorn for $3.50 and a drink for $5. How much would it cost if they bought 8 bagsof popcorn and 5 drinks? How much would it cost if they bought p bags of popcornand d drinks?Total cost, 8 bags of popcorn and 5 drinks:Total cost, p bags of popcorn and d drinks: Which events led to Canada gaining independence? Which events led to Canada gaining independence? HURRY GIVING 20 POINTS How does peer pressure cause someone to feel stressed at what depth does metamorphism start in the earth's crust if the surface is 25 degrees celsius, the geothermal gradient is 25c/km, and metamorphism starts at 200c? which of the following is a sign that an abc system may be useful for an organization? a. significant amounts of indirect costs are allocated using multiple cost pools. b. products make similar demands on resources because of similarities in volume, process steps, batch size, or complexity. c. many indirect costs are described as batch-level costs, product-sustaining costs, or facility-sustaining costs. d. operations staff disagrees with accountants about the costs of manufacturing and marketing products and services. this structure of the medulla oblongata relays information from the red nuclei, midbrain, and the cerebral cortex to the cerebellum. PLEASE HELP!4. The last couple of years in the winter season, Mrs. Blair has had to take many days off for one of her kids being sick. She has determined that each kid has a 63% chance of getting sick at some point in the winter months. She has 4 kids.a) What is the probability that all her kids get sick this winter? b) What is the probability that at least one kid will get sick this winter? 5. Challenge Problem: If A U B = S (Sample Space), P (A and B) = .25, P (A) = .35, then P(B) = ??? a company pays $32,000 per period to rent a small building that has 11,700 square feet of space. this cost is allocated to the company's three departments on the basis of the amount of the space occupied by each. department one occupies 2,340 square feet of floor space, department two occupies 3,510 square feet of floor space, and department three occupies 5,850 square feet of floor space. if the rent is allocated based on the total square footage of the space, department one should be charged rent expense for the period of: which of the following is not one of the most common depreciation methods? a.units-of-activity method b.double-declining-balance method c.straight-line method d.sum-of-the-years-digits method Refer to your Expeditions in Reading book for a complete version of this text. The article "NASA Langleys Modern Figures Reflect on Changing Times, Hidden Figures'" makes the point that Amer, Martinez, and Williams-Byrd feel honored to represent women of color who work for NASA. What evidence best supports this point?"Someone has to help you get over the hump, she said. You have to have someone who always believes in you. "You cant really turn down these types of opportunities because if youre given this gift, you got to give it forward, Martinez said. ""We kind of gravitated toward each other, Martinez said. Were all in different fields so its not like we ran into each other all the time. ""She said, Julie? Is this for real? Dont play with me! Its on my bucket list to one day be invited to the White House! A person weighing 200 N on an elevator the elevator lifts the person 6 m in 8 seconds how much power was used Annie runs a group therapy session on anger management. In one of the sessions, she finds that the members have become aggressive and are having heated arguments with each other. What technique can Annie use to bring the discussion back into order? A. terminate the discussion for the day B. call for a moment of silence C. pass a clipboard for people to write their feelings D. ask the aggressive members to leave the group E. introduce humor in the session to ward off the argument Evaluate the exponential functions my computer crashes on average once every 4 months. what is the probability that it will not crash in a period of 4 months. Ramundo is shopping for a new pair of rollerblades. Roller World sells a pair of rollerblades for $94 regular price. Currently, the rollerblades are on sale for 15% off. Outdoor Adventures sells the same pair of rollerblades for $81.50 with no discount. The sales tax rate in Ramundo's city is 6%.Part ATo get the better deal, Ramundo should buy the rollerblades from , 1 of 2.Select Choice.Part BIn doing so, he will save , 2 of 2.Select Choice (after tax) over the other store. you have $4000 with which to build a rectangular enclosure with fencing. the fencing material costs $30 per meter. you also want to have two partitions across the width of the enclosure, so that there will be three separated spaces in the enclosure. the material for the partitions costs $25 per meter. what is the maximum area you can achieve for the enclosure? (round your answer to the nearest whole number.) incorrect: your answer is incorrect. m2 using a weekly action plan can help you stay focused on what needs to be done each day but it shouldn't be considered a tool for self-monitoring your behavior. true false true or false? national institute for occupations safety and health (niosh) and the veterans health administration are partners working with 26 nursing schools to further safe patient handling and mobility (sphm) curricula. Tyshawn has $600 to spend at a bicycle store for some new gear and biking outfits.Assume all prices listed include tax. He buys a new bicycle for $237.49.He buys 3 bicycle reflectors for $14.57 each and a pair of bike gloves for $34.52.He plans to spend some or all of the money he has left to buy new biking outfitsfor $71.07 each.Use the drop-down menu below to write an inequality representing o, the number ofoutfits he can buy while staying within his budget.