A base has been added to water such that the concentration of hydroxide ions is 2.61 × 10–9 M. The solution has a temperature of 25°C (Kw = 1.0 × 10–14). What's the concentration of hydronium ions present in this solution?

Question 14 options:



3.83 × 10–6




1.79 × 10–8




2.57 × 10–6




4.42 × 10–7

Answers

Answer 1

The hydronium ion concentration, [H₃O⁺ ], of the solution is  3.83 * 10⁻⁶.

What is the hydronium ion concentration of a solution?

The hydronium ion concentration of a solution is the concentration in mol/dm³ of the hydronium ions of a solution.

The hydronium ion is formed when a water molecule combines with a hydrogen ion as shown below:

H₂O + H⁺ ---> H₃O⁺

The hydronium ion concentration of a solution is also known as the hydrogen ion concentration of the solution or pH.

The product of the hydronium ion concentration of a solution and the hydroxide ion concentration of a solution gives the ion product of water.

[H₃O⁺ ] * [OH⁻] = Kw

where Kw = 1.0 * 10⁻¹⁴ M²

The hydronium ion concentration of the given solution can be calculated as follows:

[H₃O⁺ ] * [OH⁻] = Kw

[OH⁻] = 2.61 * 10⁻⁹ M

Kw = 1.0 * 10⁻¹⁴ M²

[H₃O⁺ ] = Kw / [OH⁻]

[H₃O⁺ ] = 1.0 * 10⁻¹⁴ M² / 2.61 * 10⁻⁹ M

[H₃O⁺ ] = 3.83 * 10⁻⁶

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Related Questions

IS THIS CORRECT??? I NEED HELPPP. IM GIVING BRAINLEST

Answers

Answer:carbon should be D, hydrogen should be A, magnesium is correct,oxygen is also correct.

Explanation:I’m sorry if this is wrong but I looked it up to see if it was correct or not

How would you prepare a 1 L solution of 3 M MgO?

Put 3 grams of MgO in the beaker and add enough water to reach the 1 L mark.

Put 120 grams of MgO in the beaker and add exactly 1 L of water.

Put 120 grams of MgO in the beaker and add enough water to reach the 1 L mark.

Put 3 grams of MgO in the beaker and add exactly 1 L of water.

Answers

Answer: (Option C) We need to 120 g of MgO in the beaker and add enough water to reach the 1 L mark.​

Explaination: Molarity of a solution is defined as the number of moles of solute dissolved per liter of the solution.

Two quantities in the ideal gas equation that are directly proportional: _______ and ________

Two quantities in the ideal gas equation that are indirectly proportional: _______ and _______

Answers

Two quantities in the ideal gas equation that are directly proportional are Pressure and Temperature

In ideal gas law, PV = nRT

A quantity can be directly or indirectly proportional to each other. In case of directly proportional, if one quantity increases other would also increases and vice versa. In the case of indirectly proportional, the opposite happens i.e., increase in one quantity would result in decrease of another.

As we can see in the ideal gas law, increase in pressure (P) would increase number of moles (n) and Temperature (T). Similarly, increase in volume (V) would also increase number of moles (n) and Temperature (T).

If the law was rearranged, we can observe that increase in pressure would decrease the volume and vice versa.

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7. Identify the number of molecules in.
2NH3

Answers

Answer:

2 molecules

Explanation:

thete are 2 moleculed in 2NH3

What is the molarity of na+ ions in a solution of 25.0 ml of 1.25 m nacl and 145 ml of 0.550 m na2so4 and 30.0 ml of 0.225 m na3po4? assume the volumes are additive.

Answers

By taking into account the different numbers of sodium ions released by different salts upon dissociation, we can calculate that the final molarity of sodium salts is 0.1055 M.

To calculate the total molarity of the sodium ions in the new solution, we must calculate the number of moles of sodium ions in the first, second, and third solutions, add them up and divide them by the total volume of the new solution.

First solution - 1 mol of sodium chloride releases 1 mole of sodium ions upon dissociation, so the amount of sodium ions will be equal to the amount of sodium chloride:

c = n/V ⇒ n = c*V = 1.25 M * 0.0250 L = 0.03125 mol

Second solution - 1 mol of sodium sulfate releases 2 moles of sodium ions upon dissociation, so the amount of sodium ions will be double the amount of sodium sulfate:

n = 2c*V = 2 * 0.550 M * 0.145 L = 0.1595 mol

Third solution - 1 mol of sodium phosphate releases 3 moles of sodium ions upon dissociation, so the amount of sodium ions will be triple the amount of sodium phosphate:

n = 3c*V = 3 * 0.225 M * 0.0300 L = 0.02025 mol

The final molarity of sodium ions:

c = n/V = (0.03125 mol + 0.1595 mol + 0.02025 mol) / (0.0250 L + 0.145 L + 0.0300 L) = 1.055 M

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does anyone know how to answer this question?

Answers

According to the given statement The density of the element is 6.82 g/ml.

What is Density ?

Density is the measure of how firmly a material is packed. It has such definition since it is the mass per unit volume. Numeral for density D or The formula for calculating density is m/V, where m is the mass and V is the volume of the object.

What is unit of density?

Grams per cubic centimeter are indeed a typical measurement unit for density. For example, while Earth has a density of up to 6.5 grams, water has a density of 1 grams per cubic centimeter. Another method to state density is in kilograms per cubic meters (in metre-kilogram-second or SI units).

Briefing:

Mass of solid (M)= 10.23g

Initial volume of water V[tex]_1[/tex] = 20 ml

Final volume of water V[tex]_2[/tex] = 21.5 ml

Volume of solid (V) = V[tex]_2[/tex]– V[tex]_1[/tex]

= 21.5 - 20

= 1.5 ml

Density of element (D) = M / V

= 10.23g / 1.5 ml

= 6.82 g/ml.

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2. if you don't add all of the hcl to the test tube because you see all of the mg is used up but you still follow the directions in this lab report to calculate your volume of h2 produced how will it affect your value of r?

Answers

The rate of reaction r is measured by the amount of gas produced at a 10-second interval.

in this reaction magnesium and acids are gradually used up. however acid is in excess so it is mainly a loss of magnesium. that causes a change in the rate.

if the graph of the axis is in y and time in the x-axis. this shows this reaction fastest at the beginning. as the magnesium is used up the rate falls. when the reaction has stopped no more gas is produced.

What is the rate of reaction?The reaction rate or rate of reaction is the speed at which a chemical reaction takes put, characterized as relative to the increase within the concentration of a product per unit of time and to the decrease within the concentration of a reactant per unit of time. Response rates can shift drastically. For case, the oxidative rusting of press beneath the Earth's atmosphere could be a slow reaction that can take numerous a long time, but the combustion of cellulose in a fire could be a response that takes place in divisions of a second. For most responses, the rate diminishes as the reaction proceeds. A reaction's rate can be decided by measuring the changes in concentration over time.

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A photon has an energy of 8.42 eV.
What is its frequency?
Hint: 1 eV = 1.60 x 10-19 J

Answers

Answer: The frequency is given by:

Photon energy is 8.42 eV

By Planck's relation:

E= hv     (h is the Planck's constant and v is the frequency)

v= E/h

1 eV = 1.60×10-19J

E= 8.42× 1.6×10-19 Joules

h = 6.62×10-34 Joule/Hz

Substituting the values in the above formula

v = (8.42×1.6×10-19) /(6.62×10-34)

Frequency = 2.035×10(power) +15 Hertz

Explanation:

Firstly we convert energy into Joules then we have to just substitute given values to get our answer. The equation or formula we are using to solve this particular question is Planck's relation.

Define volume.
length x width x height
the mass of liquid required to fill a container
the space occupied by a liquid
the space occupied by mass

Answers

Length x width x height can define the volume of an object.

What is the volume of an object?

Volume can be defined as the space which is occupied by an object in space. It is also called the capacity of the object. The volume of an object also refers to the amount of space it fills. Very large Volumes can be measured in cubic meters (m3) while the other hand, while the Smaller volumes can be measured in cubic centimeters (cm3) as well as cubic millimeters (mm3). Volume has three dimensions i.e. length, width, and height whereas area has two dimensions i.e. length and width. We can calculate the volume of an object with the help of a formula i.e. Volume = length × width × height.

So we can conclude that volume of an object can be calculated with the help of the formula i.e. Volume = length × width × height.

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An atom of bromine has 35 electrons. These electrons are present in energy shells around
the nucleus. What is the electron configuration of bromine?
a. 2,8, 18, 1
b. 2, 8, 18,7
c. 2,8,8,17
d. 2,8, 18, 35

Answers

Answer:

b. 2, 8, 18,7

Explanation:

Shell 1 = 2

Shell 2 = 8

Shell 3 = 18

Shell 4 = 7

electrons are transferred from one atom to another

Answers

ionic bond

when an atom loses one or more electrons, it becomes a positively charged ion

when an atom gains one of more electrons, it becomes a negatively charged ion

Draw the structure of NO3− . Draw the ion by placing atoms on the grid and connecting them with bonds. Include all lone pairs of electrons. Use square brackets to denote the overall charge.

Answers

Structure of NO₃⁻ has overall charge [NO₃]⁻ is -1

The molecular structure of a compound depicts the atoms of a molecule with their charges and their lone pairs of electrons and this is also called as lewis dot structure where the molecules are drawn showing their bonds represented by lines or dots and the non-bonding pairs of electrons represented by dots not between atoms and has overall charge [NO₃]⁻ is -1

Structure of  [NO₃]⁻ on by placing atoms on the grid and connecting them with bonds include all lone pairs of electrons are shown below

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1. If the Moxie's tank has an initial pressure of 50 atm in the winter, what will be * 1 point
the pressure in the summer?

Answers

The pressure of the Moxie's tank in the summer will be 110.5 atm.

What is pressure law?

The pressure law states that  for a given mass a gas, the pressure exerted on the sides of its container is directly proportional to its absolute temperature provided the volume is constant.

Mathematically, this law can be written as;

P₁/T₁ = P₂/T₂

where;

P₁ is the initial pressureP₂ is the final pressureT₁ is the initial temperatureT₂ is the final temperature

From formula above, as the temperature of the gas increases, its pressure increases as well.

Thus, the pressure that will be observed in the Moxie's tank during the summer will be greater than 50 atm since the temperature in summer is greater than the temperature in winter.

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The complete question is below:

If the Moxie's tank has an initial pressure of 50 atm in the winter, what will be * 1 point

the pressure in the summer?

A. 5.88 atm

B. 22.6 atm

C. 110.5 atm

wrapping a hot potato in aluminum foil significantly reduces the rate at which it cools by question 17 options: melting. conduction. evaporation. condensation.

Answers

The correct answer is option C: Evaporation

Wrapping a hot potato in aluminum foil significantly reduces the rate at which it cools by evaporation.

It is because, the aluminum foil serves as a reflector of infrared radiations or IR radiations.

The surface of the aluminum foil reflects back the radiations and does not allow them to escape to the surrounding.

Thus, in this way, the potato, wrapped in the foil, cools down at a slow rate as the radiation are trapped inside it and keep the potato warm and hot for a longer time period.

On the contrary, if the radiations were to escape, then the potato would cool down rapidly by evaporation.

Evaporation refers to the transformation of a matter from one phase to another i.e. from hot to cool phase, thereby, the reflection of radiations does not let the potato cool over time.

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a) there are several reagents that can be used to effect addition to a double bond, including: acid and water, oxymercuration–demercuration reagents, and hydroboration–oxidation reagents.

Answers

The selection of hydroboration-oxidation reagents to carry out the transformation was made for the following reasons:

Reagents for oxymercuration and demarcation produce the Markovnikov product.

The anti-Markovnikov product of addition is produced by reagents for hydroboration oxidation.

Anti-Markovnikov product without sigmatropic rearrangement is necessary for the reaction.

Acid and water are added to produce the Markovnikov product.

The formation of alcohol depends on the process of hydroboration-oxidation, it should be mentioned. Instead of employing other reagents, it is required for the transformation because hydroboration-oxidation reagents produce the anti-Markovnikov product of addition.

The conversion of alkenes into neutral alcohols is accomplished through the organic chemical reaction known as hydroboration oxidation. This is accomplished via a two-stage procedure that entails both an oxidation and a hydroboration step. An addition is made as a net result.

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a sample of xenon gas occupies a volume of 7.72 l at 421 k. if the pressure remains constant, at what temperature will this same xenon gas sample have a volume of 4.54 l?

Answers

The Xenon gas sample will have the volume of  4.54L at the temp of 247.26 k.

When pressure is constant, a gas's volume and temperature are directly proportional.

When pressure is constant, the volume to temperature ratio remains constant.

The term "Charles' law" or "Gay-Lussac's law" refers to this relationship.

Isobaric processes are those that operate at constant pressure.

V ∝ T (P constant)

V1/T1 = V2/T2 = constant

Here,

V1= 7.72l

T1 = 421k

V2 = 4.54l

T2 = ?

7.72/421 = 4.54/T2

7.72 × T2 = 4.54 × 421

T2 = 4.54 × 421

            7.72

T2 = 247.26 k

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what are the 3 specific ways an object can accelerate

Answers

Answer:

increasing speed, decreasing speed, or a change in direction.

Explanation:

i hope this helps

Balanced chemical reactions obey the law of
conservation of mass
a. True
b. False

Answers

Answer:

True

Explanation:

A balanced chemical equation always obeys the law of conservation of mass. According to this law, the mass of products must be equal to the mass of reactants. A reaction is said to be balanced when the total mass of atoms on both sides of the chemical reaction is equal.

australian tiger beetles can travel at 2.5 m/s. how long would it take a tiger beetle to run the length of a standerd football feild (109.7 m)

Answers

Australian tiger beetles can travel at 2.5 m/s . time take a tiger beetle to run the length of a standard football field (109.7 m) is 43.88 sec.

Given that :

speed of Australian tiger beetles = 2.5 m/s

distance of the football field = 109.7 m

to find out the time taken by a  Australian tiger beetles to run the length of a standard football field 109.7 , we use the following formula:

speed = distance / time

Time = distance / speed

        = 109.7 m / 2.5 m/s

        = 43.88 sec

Thus, Australian tiger beetles can travel at 2.5 m/s . time take a tiger beetle to run the length of a standard football field (109.7 m) is 43.88 sec.

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Who developed the expression for the line spectrum of hydrogen to include lines in the ultraviolet and infrared portions of the electromagnetic spectrum?.

Answers

Who evolved the expression for the broad spectrum of hydrogen to encompass lines within the ultraviolet and infrared portions of the electromagnetic spectrum : Johannes Rydberg

Electromagnetic Spectrum: The electromagnetic (EM) spectrum is the range of all varieties of EM radiation. Radiation is the power that travels and spreads out because it is going – the visible light that comes from a lamp in your own home and the radio waves that come from a radio station are styles of electromagnetic radiation. Scientists name them all electromagnetic radiation. The waves of energy are known as electromagnetic (EM) due to the fact they've oscillated in electric-powered and magnetic fields. Scientists classify them through their frequency or wavelength, going from high to low frequency (quick to long wavelength).

The electromagnetic spectrum observed over a century ago is the idea behind our universe(Opens in a new tab). Without it we would not be able to see, the stars would not shine, and existence would not exist. It is one of the most important concepts that govern everything around us. Electromagnetic radiation occurs whenever a charged particle changes speed with an electron, i.e., increases or slows significantly. The power of the generated electromagnetic radiation comes from charged particles and is therefore lost with use.

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Can someone please help me answer this question, im not sure if my answer is right, i dont understand the question. I need an explanation asap, please.

Answers

Answer:

nooooooooooooooooooooiooooooooob

Answer:

Ans is HCL as :

it reacts with limewater to produce bubbles of gas(CaCo3+2HCL -----> Cacl2+H20+Co2)

It is an acid so it turns blue litmus paper to red

When zinc reacts with hydrochloric acid, the reaction bubbles vigorously as hydrogen gas is produced. When hydrogen is near fire it burns with pop sound

It should also be noted that HCL is colorless

PLSSSS MARK AS BRAINLIEST

use your measured conductances (currents) for isomolar solutions of the substances you tested and the conductances (currents) for pure water and ethyl alcohol to distinguish among strong electrolytes (se), weak electrolytes (we), and nonelectrolytes (ne).

Answers

The difference between strong electrolytes (se), weak electrolytes (we), and nonelectrolytes (ne).

A solution or solute that totally, or nearly completely, ionizes or dissociates in a solution is referred to as a strong electrolyte.

In the solution, these ions act as effective conductors of electric current. A substance that is a good conductor of electricity while in aqueous solution was the original definition of a "strong electrolyte."

A solution is considered to be a weak electrolyte if only a small percentage of the dissolved solute is present as ions. An equilibrium between the reactants and products is depicted by a double arrow in the equation for the ionization of a weak electrolyte.

Strong electrolytes totally ionize (100%), whereas weak electrolytes only partially ionize (often between 1 and 10%). In other words, whereas for weak electrolytes, the main species in solution is the unionized molecule itself, ions are the main species in solution for strong electrolytes.

A substance is referred to as a nonelectrolyte if it doesn't conduct electricity in either the molten or watery form. Many molecules, including ethanol and sugar, are nonelectrolytes. These substances do not release ions when they dissolve in water.

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sulfur and fluorine react in a combination reaction to produce sulfur hexafluoride. In a particular experiment, the percent yield is 79%. this means that in this experiment, a 7.90g sample of fluorine yields how many grams of sulfur hexafluoride

Answers

A certain experiment had a yield of 79.0%, expressed as a percentage. This indicates that the amount of SF₆ that can be produced from a fluorine sample that is 7.90 grams is seven grams.

How does one go about creating hexafluorous sulfur?

Sulfur A disparity agent, hexafluoride is an inorganic fluorinated inert gas composed of six fluoride atoms bonded to one sulfur atom. It has the potential to have diagnostic action when it is imaged.

Therefore, 7 grams of SF₆ can be produced from a fluorine sample.

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poopxpoop equals 1111111111111111111222222222222222233333333333333333333 go

Answers

Poop x poop = big poop 123 go
1 poop x 1 poop =2 poop which equals 3 pooop.

I have 5 minutes if scientists could produce element 120, what predictions would you make about its reactivity

Answers

If scientists could produce element 120, its reactivity will be high as a result if the number of valence electrons present in its outermost shell.

What is an Element?

This refers to a type of substance which can't be broken down into simpler substances by a chemical reaction and an example is Sodium.

In the case of element 120 if produced will belong to alkaline earth metals which have a valence electron of 2. This means that it needs to donate only two electrons to achieve a stable configuration which is therefore the reason why it will be highly reactive.

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A photon has an energy of 8.42 eV.
What is its frequency?

Answers

The frequency of photon is 2.04 × [tex]10^{15}[/tex] Hz.

E = h × f

Here, E = energy,  given = 8.42 eV = 8.42 × 1.6 ×[tex]10^{-19}[/tex] J = 1.35 × [tex]10^{-18}[/tex] J

h = plank's constant = 6.626 × [tex]10^{-34}[/tex] Js

f = frequency

So, f = E/h

f = 1.35 × [tex]10^{-18}[/tex] J/6.626 × [tex]10^{-34}[/tex] Js

f = 2.04 × [tex]10^{15}[/tex] Hz

Hence, the frequency of photon is 2.04 × [tex]10^{15}[/tex] Hz.

Frequency is the quantity of occurrences of a repeating occasion in line with unit of time. it is also every now and then known as temporal frequency to emphasize the comparison to spatial frequency, and regular frequency to emphasize the assessment to angular frequency.

The variety of periods or cycles according to second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is similar to one cycle consistent with second.

Frequency is an critical parameter used in technology and engineering to specify the temporal charge of alternate observed in oscillatory and periodic phenomena, which include mechanical vibrations, audio alerts, radio waves, and light.

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The barium hydroxide solution is used to titrate a perchloric acid solution of unknown concentration. Write a balanced chemical equation to represent the reaction between barium hydroxide and perchloric acid.

Answers

Balanced chemical equation to represent the reaction between barium hydroxide and perchloric acid is :

Ba(OH)₂ + 2 HClO₄ → Ba(ClO₄)₂ + 2 H₂O

These two substances would be your two reactants: perchloric acid is HClO₄ and barium hydroxide is Ba(OH)₂.

Barium perchlorate (Ba(ClO₄)₂) and hydrogen hydroxide (H₂O), often known as water, are the results of this double replacement process, in which the cations (Ba²⁺ and H⁺) swap places.

Thus the reaction would be :

Ba(OH)₂  +  HClO₄  →  Ba(ClO₄)₂  +  H₂O

2 perchlorate ions on the left mean we need 2 perchloric acids on the right

Ba(OH)₂  +  2 HClO₄  →  Ba(ClO₄)₂  +  H₂O

Now we have 2 H⁺ ions and 2 OH⁻ ions on the right, so we need 2 H₂O on the left.

Ba(OH)₂  +  2 HClO₄  →  Ba(ClO₄)₂  +  2 H₂O

Thus, it is the final balanced equation.

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Write the balanced formula, complete ionic, and net ionic equations for each of the following acid–base reactions.

Answers

The ionic equation of the reaction of HNO₃ and aluminum hydroxide:

3 H⁺ (aq)  + Al(OH)₃ (s)  →  3H₂O (l)

What are the net ionic equations?

The net ionic equation of a reaction is an equation that represents only those elements, ions, or compounds, that directly contributed to the occurrence of the chemical reaction.

The ions which do not participate are mentioned in the complete ionic equation but eliminated from the net ionic equation and are called spectator ions.

The balanced chemical equation of the reaction of nitric acid and aluminum hydroxide.

3 HNO₃ (aq) + Al(OH)₃  (s)  →  3H₂O (l)  +  Al(NO₃)₃ (aq)

As the aluminum hydroxide (Al(OH)₃) does not dissolve in nitric acid. In the complete ionic equation, it does not dissociates into ions.

3 H⁺ (aq) + 3NO₃ (aq) + Al(OH)₃  (s)  →  3H₂O (l)  +  Al³⁺ (aq) +  3NO₃⁻ (aq)

In the complete ionic equation, the nitrate ions appear unchanged on both sides of the equation. Therefore, the nitrate ions do not participate in the reaction and can be eliminated from the ionic equation to get the net ionic equation.

3 H⁺ (aq)  + Al(OH)₃ (s)  →  3H₂O (l)

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Your question is incomplete, the most probably complete question was,

Write the balanced, complete ionic, and net ionic equations for the following acid-base reaction.

HNO₃ (aq) + Al(OH)₃ (s)  →

A sample of 0. 02 mol of oxygen has a temperature of 399 k and a volume of 5. 00 l. What is its pressure?.

Answers

The Pressure is 0.1309 atm.

What is Pressure?

The force applied perpendicularly to an object's surface per unit area about which that force has been distributed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units. Some of these come from dividing a unit of force by a unit of area; the traditional unit of pressure inside the imperial and U.S. customary systems is the pound-force per square inch (psi), which is equivalent to one newton per square metre (N/m2) in the SI. The atmosphere (atm), which is equal to the this pressure, as well as the torr, which is defined as 1760 of this, are two other ways to express pressure.

Given,

Number of moles n =  0. 02 mol

Temperature T = 399 k

Pressure P = ?

Volume V = 5L

Ideal gas constant R = 0.08206L atm/mol K

Number of moles

n = P V/R T

0. 02 = P × 5/0.08206 × 399

0.02 = P × 5/ 32.741

0.65482 =  P × 5

P = 0.1309 atm.

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Which is more reactive boron or neon

Answers

Boron is more reactive because neon has 2 naturally occurring stable isotopes and boron has 3 naturally occurring stable isotopes, making boron less reactive.
Other Questions
a chemist makes 86.94 grams of a black powder by reacting 54.94 grams of manganese with 32.00 grams of oxygen. if a student breaks down 144.9 grams of that powder, what mass of manganese will be made? [mn] Employees who speak up with practical ideas, share their love of their work with others, help out their coworkers, and take care of the companys building and equipment are exhibiting organizational citizenship behaviors. True or false?. ALGEBRA 1 HW!! PLEASE HELP WILL GIVE BRAINLYEST please only answer b which organism has a nerve net that allows it to a stimulus in a coordinated way which of the following is the rational algebric expression of the verbal phrase below? the ratio of the sum of 2x and 4y and the difference of 8x and 10y. lets review some basics of probability. a bag of skittles has 9 reds, 10 oranges, 7 yellows, 8 purples, and 6 greens. what is the probability of a red skittle if one is selected at random? True or false? A corollary is a statement that can be easily proved using atheorem.O A. TrueOB. FalseSUBMITanswer to this question for anyone who needs it Where are Raphael's frescos of the School of Athens located? Vector B~ has x, y, and z components of 4.3, 4.5, and 5.1 units, respectively. Calculate the magnitude of B~ . according to the article, what is herd behavior?it's when individuals break away from a group.it's when individuals make foolish decisions.it's when groups rationally make decisions together.it's when people blindly follow the decisions of a group. What is the source of the electrical energy in the brain The graph of a function f(x) passes through the following points: (0,-2), (1,0), (-1,0)Which of the following could be f(x)? > f(x) = -2x - 2 > f(x) = 2x - 2 > f(x) = (2\sqrt[x])-2 > f(x) = 2x^2 - 2 If Aaron buys 5 watermelons for 9 how much would 4 cost at the same rate? What is the value of x that makes this equation true?4x+5=x+14 6. Joshua took a bus from Orlando to Atlanta. The bus traveled 420 miles in 6 hours. What was theaverage speed of the bus?a) 60 miles per hourb) 65 miles per hourc) 70 miles per hourd) 75 miles per hour hey can you please help me do a sentence with SECOND CONDITIONAL and another one with FALSE PAST TENSE A saleswoman earns 9% commission on all the merchandise that she sells. Last month she sold $6000 worth of merchandise. How much commission (in dollars) did she earn last month? Information is given about a polynomial f(x) whose coefficients are realnumbers. Find the remaining zeros of f.Degree 3; zeros: -4, -2- iThe remaining zero(s) of f is(Use a comma to separate answers as needed.) How long does it take for a person that is walking at 2 meters per second to travel 1200 meters Find the volume of a solid bounded by the paraboloids [tex]\displaystyle{z=4x^2+4y^2}[/tex] and [tex]\displaystyle{z=5-6x^2-y^2}[/tex]