You have a two-liter sample of each of the following gases, all at 25 °C and one atmosphere pressure. Which sample will weigh the most?A) Ammonia.B) Argon.C) Carbon dioxide.D) Nitrogen dioxide.E) Oxygen.

Answers

Answer 1

Answer: D) Nitrogen Dioxide

Explanation:

Answer 2

The characteristics of moles allow you to find that the correct answer for which sample weighs more is:

             D) Nitrogen Dioxide

The molecular weight of the substance is the weight of one mole of a material, where one mole is Avogadro's number of particles.

In all chemical reactions the relationships are given as a function of moles.

Let's find the molecular weight of each of the substances, we take the atomic weights from the periodic table

Element      PA (gr / mol)

   H                     1

   C                   12

   N                   14

   O                   16

   Ar                  40

A) Ammonia with NH₃ formula

     weight of a mole of molecules

           MP = 14 + 3

           PM = 17 gr / mol

B) Argon symbol Ar

    It is a noble gas and does not react

         PM = 40 gr / mol

C) Carbon dioxide formula CO₂

      Weight per mole of substance

        PM = 12 + 2 16

        Pm = 44 gr / mol

D) Nitrogen dioxide formula NO₂

       Weight per molecular

         MP = 14 + 2 16

         PM = 46 gr / mol

E) Oxygen symbol O formula O₂

      Molecular weights

         PM = 2 16

         PPM = 32 gr / mol

It indicates that we have two liters of sample, so the number of moles of each substance is the same, therefore the substance that weighs more is Nitrogen Dioxide (NO₂)

When reviewing the different answer, the correct one is:

            D) Nitrogen Dioxide

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Related Questions

A person on a diet loses 15 lb in 3.5 months. Calculate the average weight loss in milligrams per second (mg/s).

Answers

The average weight loss is 0.739 mg/s.

The total weight lost by the individual = 15 lb

To convert Ib to mg

1 Ib = 453592 mg

15 lb = 15 lb * 453592 mg/ 1 Ib

= 6803880 mg

The time taken for the weight loss = 3.5 months

Number of seconds in 3.5 months = 9.198 * 10^6 seconds

Hence;

Average weight loss in milligrams per second (mg/s);

Weight lost/ time taken

6803880 mg/9.198 * 10^6 seconds

= 0.739 mg/s

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An object displaces 4 mL of water when placed in a cup. If it has a mass of 96g, what is its density?

Answers

Answer:

Below

Explanation:

Density = mass / volume      the volume = the amountof water displaced

Density = 96 g /4 cc = 24 g/cc     ( cc and ml are the same )

How many grams are in 0.500 liters of SBr6?

Please show work if possible or say how to do it

Answers

Answer:

250 grams = 0.25 liter

Explanation:

Sunspot populations quickly rise and more slowly fall on an irregular cycle about every 11 years. Significant variations of the 11-year period are known over longer spans of time. For example, from 1900 to the 1960s the solar maxima (the period of greatest activity in the solar cycle of the sun) trend of sunspot count has been upward; from the 1960s to the present, it has diminished somewhat. The Sun is presently at a markedly heightened level of sunspot activity and was last similarly active over 8,000 years ago.
The number of sunspots correlates with the intensity of solar radiation over the period (since 1979) when satellite measurements of absolute radiative flux were available. Since sunspots are darker than the surrounding photosphere it might be expected that more sunspots would lead to less solar radiation and a decreased solar constant. However, the surrounding margins of sunspots are hotter than the average, and so are brighter; overall, more sunspots increase the sun's solar constant or brightness. During the Maunder Minimum in the 17th Century there were hardly any sunspots at all. The Maunder Minimum is the name given to the period roughly from 1645 to 1715, when sunspots became exceedingly rare, as noted by solar observers of the time. It is named after the solar astronomer Edward W. Maunder (1851-1928) who discovered the dearth of sunspots during that period by studying records from those years. During one 30-year period within the Maunder Minimum, for example, astronomers observed only about 50 sunspots, as opposed to a more typical 40,000-50,000 spots. This coincides with a period of cooling known as the Little Ice Age.
1) Which of the following is a true statement?:
A. There were more sunspots in 1965 than in 1701
B. The Little Ice Age had nothing to do with sunspots
C. The Sun is presently at a low level of sunspot activity
D. No one is counting sunspot activity any more

Answers

The Sun is presently at a low level of sunspot activity. Hence, option C is correct.

What is solar radiation?

Solar radiation is often called the solar resource for the electromagnetic radiation emitted by the sun.

The Sun is presently at a low level of sunspot activity is the correct answer.

Hence, option C is correct.

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2- The vapor pressure of water at 80°C is 355 torr, Calculate the vapor
pressure of an aqueous solution made by dissolving 50 gm of ethylene
glycol (C₂H5O₂) in 50 gm of water. What is the vapor pressure lowering of
water in this solution?

Answers

The vapor pressure lowering of water in this solution is 1165 torr.


What is vapor pressure?
The pressure that a vapour exerts on its condensed phases in a closed system at a specific temperature is known as the vapour pressure or equilibrium vapour pressure. An indicator of a liquid's evaporation rate is the equilibrium vapour pressure. It has to do with how easily liquid-borne particles tend to elude detection (or solid). Volatile is a term used to describe a chemical that, at room temperature, has a high vapour pressure. Vapor pressure is the force that a vapour cloud exerts over a liquid surface. The kinetic energy of a liquid's molecules increases along with the temperature. The number of molecules vaporising also rises as a function of the molecules' rising kinetic energy, which raises the vapour pressure.

the vapor pressure of water and the mixture is 355 torr and 760 torrs. Therefore, the value of vapor pressure of oxygen would be,

Ptotal=PO2+PH2O

760=PO2+355

760−355=PO2

405=PO2

So, at the temperature, the vapor pressure of  Ethylene is 405 torr.

When volume reduces to 50ml, the pressure of the oxygen would be,

P1V1=P2V2

where P1 and P2 are the pressure and V1 and V2 are the volumes.

P1V1=P2V2

P1V1/V2=P2

405×100 / 50=P2

810=P2

So, when the volume is 50ml the vapor pressure of the oxygen is 810 torr.

Now the total pressure of water-saturated oxygen at 50 ml volume is,

Ptotal=PO2+PH2O

Ptotal=810+355

Ptotal=1165


So, the total vapor pressure is 1165 torr.
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6. How many moles are in 8.30 x 1023 molecules of CO₂?
a.
b.
C.
d.
1.37
2.8
55.5
100

Answers

the answer should be 1.38 molecules

How many grams of H2 would be formed if 34 grams of carbon reacted with an unlimited amount of H2O?

Answers

Answer:

The reaction between carbon (C) and water (H2O) forms carbon monoxide (CO) and hydrogen gas (H2). The balanced chemical equation for this reaction is:

C(s) + H2O(g) -> CO(g) + H2(g)

According to this balanced equation, one mole of carbon reacts with one mole of water to produce one mole of carbon monoxide and one mole of hydrogen gas.

First, calculate the number of moles of carbon in 34 grams. The molar mass of carbon is approximately 12.01 grams/mole.

Moles of carbon = 34 grams / 12.01 grams/mole = 2.831 moles

As the stoichiometry of the reaction shows a 1:1 ratio between carbon and hydrogen, the moles of hydrogen produced would also be 2.831 moles.

The molar mass of hydrogen (H2) is approximately 2 grams/mole.

So, the mass of hydrogen produced = 2.831 moles * 2 grams/mole = 5.662 grams

Therefore, if 34 grams of carbon reacts with an unlimited amount of water, approximately 5.66 grams of hydrogen gas would be formed.

Explanation:

Approximations followed for answer.

Consider sample (A) containing 5.99 x 1023 molecules (formula units) of ammonium carbonateand sample (B) containing 93.5 g of ammonium carbonate. Which sample contains more molesof ammonium carbonate? You must support your answer with calculation(s).

Answers

Answer: Sample A has 0.995 moles, this is bigger than the moles of Sample B that has 0.973 moles.

Step by step solutions:

1. Convert Molecules of sample A into moles:

1 mole of A contains 6.022x10^23 molecules

∴ x moles A contains 5.99x10^23 molecules

Then, moles of A = (5.99x10^23 /6.022x10^23 )molecules

=5.99/6.02

=0.995moles of A Sample

2. Convert Mass of Sample B into moles :

Given that -

Mass = 93.5g

Mol Mass Ammonium carbonate (NH4)2CO3= 96,09 g/mol

∴ moles B = mass /molecular mass

=93.5g /96.09g/mol

=0.973 moles of sample B

3. Compare the moles of Sample A and B

Conclusion: Sample A has 0.995 moles, this is bigger that the moles of Sample B that has 0.973 moles.

Solve for the missing values?
Help me plz!

Solve for the missing values?Help me plz!

Answers

First, we know alternate interior angles are equal. So 24=2x and x = 12 degrees.

Substituting this in to the angle 7x (which is equal to y), we get y= 84 degrees.

We also see that 24 + y + x = 180 since it is along a straight line. So 24 + 84 + z = 180 and then z = 72 degrees.

The bright-line spectra of four elements, G,J, L, and M, and a mixture of at
least two of these elements are given below.
Which elements are present in the mixture?
M
Mixture
750
750
G and J
G and L
M, J, and G
M, J, and L
700
700
650
650
Bright-Line Spectra
600
600
550 500
550
Wavelength (nm)
500
450
450
400
400
.

Answers

Based on the given bright-line spectra and the observed wavelengths in the mixture's spectrum, the elements G and J are the ones present in the mixture.

From the given bright-line spectra and the spectrum of the mixture, we can determine the elements present in the mixture by comparing the specific wavelengths observed. Examining the bright-line spectra, we can identify that G has a distinct wavelength at 650 nm, J at 600 nm, L at 550 nm, and M at 500 nm.

Looking at the spectrum of the mixture, we can observe two prominent wavelengths, 650 nm and 600 nm. These correspond to the wavelengths of G and J, respectively. Since the spectrum of the mixture does not exhibit the wavelengths specific to L (550 nm) or M (500 nm), we can conclude that only G and J are present in the mixture.

Therefore, based on the given bright-line spectra and the observed wavelengths in the mixture's spectrum, the elements G and J are the ones present in the mixture.

This analysis relies on the principle that each element has characteristic wavelengths at which they emit light. By comparing the observed wavelengths in the mixture's spectrum with those of the individual elements, we can determine the elements present in the mixture.

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6. Potassium hydrogen phthalate (KHP, KHC8H4O4) is also a good primary standard. 20 mL of NaOH was titrated with 0.600 M KHC8H4O4 solution. The data was graphed and the equivalence point was found when 15.5 mL of the standard 0.600 M KHP solution was added. The reaction equation is: a. What is the molar ratio of NaOH:KHC8H4O4? b. What is the molarity of the NaOH solution?

Answers

Answer:

a. 1

b. 0.465M NaOH

Explanation:

KHP reacts with NaOH as follows:

KHP + NaOH → KP⁻ + Na⁺ + H₂O

a. Molar ratio represents how many moles of NaOH reacts per mole of KHP. As you can see in the reaction, 1 mole of NaOH reacts with 1 mole of KHP. Molar ratio is:

1/1 = 1

b. With volume and molar concentration of the KHP solution you can find how many moles of KHP were added until equivalence point, thus:

15.5mL = 0.0155L ₓ (0.600 moles KHP / L) = 0.0093 moles of KHP

In equivalence point, moles of NaOH = Moles KHP. That means moles of NaOH titrated are 0.0093 moles NaOH.

The volume of the NaOH solution was 20mL = 0.020L. Molarity of the solution is:

0.0093 moles NaOH / 0.020L =

0.465M NaOH

a. The balanced equation shows a 1:1 molar ratio between NaOH and KHC₈H₄O₄. This means that for every 1 mole of NaOH, we require 1 mole of KHC₈H₄O₄. Therefore, the molar ratio of NaOH:KHC₈H₄O₄ is 1:1.

The balanced equation for the reaction:

NaOH + KHC₈H₄O₄ → NaKC₈H₄O₄ + H₂O

b. Molarity of KHP solution × volume of KHP solution = Molarity of NaOH solution × volume of NaOH solution at the equivalence point

Molarity of KHP solution = 0.600 M

Volume of KHP solution = 15.5 mL = 0.0155 L

Volume of NaOH solution at the equivalence point = 20 mL = 0.0200 L

Molarity of NaOH solution = (Molarity of KHP solution × volume of KHP solution) / volume of NaOH solution at the equivalence point

Molarity of NaOH solution = (0.600 M × 0.0155 L) / 0.0200 L

Molarity of NaOH solution ≈ 0.465 M

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Which of the following describes an exothermic reaction?
O A. AHt, reactants > AHf, products
B. AHF, reactants = AHf, products
O C. AHf, reactants = 0
O D. AHF, reactants < AHt, products

Answers

The option A describes an exothermic reaction.

i.e, ΔHt,reactant > ΔHt, product

What is exothermic reaction?

The reaction in which energy is release during the formation of reaction is called exothermic reaction.

Mathematically,

ΔHf = ΔH(product) - ΔH(reactant)

For exothermic reaction, ΔHt,reactant > ΔHt, product

So,for exothermic reaction, ΔHf is negative.

Where,

ΔHf = Enthalpy of formation of reaction

ΔH(product) = enthalpy of formation of product

ΔH(reactant) = enthalpy of formation of reactant

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Gas Laws
Pre-Test Active
1
2 3
5
6
O final pressure
O atmospheric pressure
O combined pressure
O partial pressure
7 8
9
10
A scientist is measuring the pressure that is exerted by each of the following gases in the atmosphere: carbon dioxide,
oxygen, and nitrogen. Which term most likely describes what she is measuring?

Answers

The term that the scientist would use in this case is partial pressure. Option D

What is the partial pressure?

The pressure that one particular gas component within a mixture of gases exerts is referred to as partial pressure. It is the pressure that the gas would experience at the same temperature if it were the only thing in the entire volume.

When researching gas mixtures, such as in gas laws, gas phase equilibria, and gas collecting methods, partial pressures are extremely crucial for the gas.

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which of the following statements about cells and genes is false? multiple choice the sequencing of bases within a gene is of little significance. each chromosome contains hundreds to thousands of genes. each cell contains 23 pairs of chromosomes. our bodies are made up of about 260 different types of cells.

Answers

The statement about cells and genes that is false is a) the sequencing of bases within a gene is of little significance.

The sequence of bases is of major significance in an individual and hence option a is false. The sequences of bases in a gene help in the formation of specified proteins that carry out the functioning in an individual. The sequencing of the bases is also important as any change in the bases can cause the wrong proteins to be formed which might cause the ultimate death of an individual if a major kind of protein is not produced.

The sequence of bases also determines if there are chances of any disorder to occur in an individual due to the pattern of bases being changed.

The question will correctly be written as:

Which of the following statements about cells and genes is false? multiple choice

a) the sequencing of bases within a gene is of little significance.

b) each chromosome contains hundreds to thousands of genes.

c) each cell contains 23 pairs of chromosomes.

d) our bodies are made up of about 260 different types of cells.

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Attached earlobes are caused by an inherited recessive trait. Unattached and attached earlobes are shown below. Unattached lobe A woman is heterozygous for unattached earlobes and a man is homozygous recessive. What is the probability that the couple will have a child with attached earlobes? A. 0% B. 25% C. 50% D. 100%​

Answers

Answer: % 50

Explanation: Aa x aa = Aa Aa aa aa

d = ? v = 100 ml. m = 1500 g

Answers

Answer:

15

Explanation:

what is the best transition metal cation that can react with ethene

Answers

Answer:

Explanation:

1+ 2+ 3+

copper(I), Cu+ cadmium, Cd2+ chromium(III), Cr3+

gold(I), Au+ chromium(II), Cr2+ cobalt(III), Co3+

mercury(I), Hg22+ cobalt(II), Co2+ gold(III), Au3+

silver, Ag+ copper(II), Cu2+ iron(III), Fe3+


How much heat (kJ) is absorbed by 825.4 g of water in order for the temperature to increase from 25.00°C to 32.50°C?

Answers

The heat absorbed by the water is 25.9 KJ

To solve the question given above, we'll begin by calculating the change in the temperature of the water. This can be obtained as follow:

Initial temperature (T₁) = 25 °C  

Final temperature (T₂) = 32.50 °C

Change in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 32.50 – 25

ΔT = 7.5 °C

Finally, we shall determine the heat absorbed by the water. This can be obtained as follow:

Mass of water = 825.4 g

Change in temperature (ΔT) = 7.5 °C

Specific heat capacity of water = 4.184 J/gºC

Heat absorbed (Q) =?

Q = MCΔT

Q = 825.4 × 4.184 × 7.5

Q = 25901.052 J

Divide by 1000 to express in KJ

Q = 25901.052 / 1000

Q = 25.9 KJ

Therefore, the heat absorbed by the water is 25.9 KJ.

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Oxygen gas reacts with powdered aluminum according to the following reaction:
4Al(s)+3O2(g)→2Al2O3(s)

What volume of O2 gas (in L), measured at 792 mmHg and 23 ∘C, is required to completely react with 52.6 g of Al?

Answers

The volume (in L) of O₂ gas, measured at 792 mmHg and 23 °C, that is required to completely react with 52.6 g of Al is 34.14 L

How to determine the volume of O₂

We'll begin by obtaining the mole of O₂ that reacted. This can be obtained as follow:

Mass of Al = 52.6 gMolar mass of Al = 27 g/molMole of Al = mass / molar mass = 52.6 / 27 = 1.948 mole

4Al(s) + 3O₂(g) → 2Al₂O₃(s)

From the balanced equation above,

4 moles of Al reacted with 3 moles of O₂

Therefore,

1.948 moles of Al will react with = (1.948 × 3) / 4 = 1.461 mole

Finally, we shall determine the volume of the O₂ required. Details below

Mole of O₂ (n) = 1.461 moles Pressure (P) = 792 mmHg = 792 / 760 = 1.042 atm Temperature (T) = 23 °C = 23 + 273 = 296 KGas constant (R) = 0.0821 atm.L/Kmol Volume (V) =?

PV = nRT

1.042 × V = 1.461 × 0.0821 × 296

Divide both sides by 1.04

V = (1.461 × 0.0821 × 296) / 1.04

V = 34.14 L

Thus, the volume required is 34.14 L

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Do you think that scientists should continue to try to create super heavy elements and expand the periodic table? Explain why or why not.

Answers

In my own opinion, scientists should continue to try create super heavy elements and expand the periodic simply because these elements will help understand better, nuclei structure, properties and its reactions

What is an element?

An element is a substance which cannot be split into simpler forms by an ordinary chemical process. This simply goes to say that elements are substances which cannot be decomposed into simpler substances by ordinary chemical reactions.

An atom is the smallest unit or part of an element which can take part in a chemical reaction.

On a general note, elements are classified as thus:

Metals, non-metal, and metalloid.

The extreme left side elements in the periodic table are metals, for example, aluminum, sodium, calcium, caesium, etc.

However, elements on the right side are generally referred to as non-metals, carbon, chlorine, oxygen,

So therefore, in my own opinion, scientists should continue to try create super heavy elements and expand the periodic simply because these elements will help understand better, nuclei structure, properties and its reactions

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What is the mass of 2.2 moles of magnesium chloride? With work shown

Answers

MgCl2 =24+2*35.5 = 95 g/mol
Mass MgCl2 = (2.2 mol) (95g/mol) =209 g
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m=Mn
m=2.2(no. Of moles)*24.305(from the periodic table)
m=53.471
What is the mass of 2.2 moles of magnesium chloride? With work shown

A gas has a volume of 6.00 liters at a temperature of 27° C and a pressure of 1,00 atm. What is the volume of the gas, in liters, at a temperature of 327°C and a
pressure of 3.00 atm?

Answers

We are given:

P1 = 1 atm                 P2 = 3 atm

T1 = 300 K               T2 = 600 K

V1 = 6 L                    V2 = v L

Finding the final Volume:

From the ideal gas equation:

PV = nRT

since in the given scenario, the universal gas constant (R) and number of moles(n) are constant

So, for both the cases, the value of n*R will be a constant k

Hence, we can write that:

PV / T = k        [where k is a constant]

Since the constant 'k' is the same for both the cases, we can write that:

P1V1 / T1 = P2V2 / T2

replacing the variables

1 * 6 / 300 = 3 * v / 600

1/50 = v / 200

v = 200/50

v = 4 L

Therefore, the volume of the gas at 600K and 3 atm will have a volume of 4 L

Consider two gaseous systems: one for which the Vrms of the particles is low and another for

which the Vrms of the particles is high. What can you say about the relative temperatures of

each system?

Answers

Answer:

See explanation

Explanation:

According to chemistry libretexts(2020); "The rms velocity is directly proportional to the square root of temperature and inversely proportional to the square root of molar mass. Thus quadrupling the temperature of a given gas doubles the rms velocity of the molecules. ... As the temperature of a gas is increased, the velocity of the molecules is also increased."

Hence considering two gases for which the  Vrms of the particles of one is high and that of the other is low, we can conclude that the gas having the higher  Vrms is at a higher temperature than the gas having a lower  Vrms according to the foregoing.

Observe the movement of the skater during his run on the ramp click bar graph at what position is the potential energy of the skater the highest

Answers

Potential energy is stored energy that is affected by the relative location of different components of a system. When a spring is squeezed or expanded, its potential energy increases.

What is potential energy simple answer?

Potential energy is the energy retained by an object as a result of its location relative to other objects, internal stresses, electric charge, or other variables.  Although it has ties to the ancient Greek scholar Aristotle's idea of potentiality, the word potential energy was coined by the 19th-century Scottish engineer and physicist William Rankine.

The gravitational potential energy of an object, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field are all examples of common kinds of potential energy. The joule, denoted by the sign J, is the measure of energy in the International System of Units (SI).

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The final answers for the following problems should be written
6. Convert 2.225 x 1010 grams into kilograms.

Answers

Answer:

2.24725 kilograms

Explanation:

To convert grams to kilograms, you divide the number of grams you have by 1000. So, 800 g = 2.225 x 1010/1000 = 2.24725 kg

In the combustion of hydrogen gas, hydrogen reacts with oxygen from the air to form water vapor. hydrogen+oxygen⟶water

If you burn 46.2g of hydrogen and produce 413g of water, how much oxygen reacted?

mass of oxygen:

Answers

Answer:

ok, here is your answer

Explanation:

AI-generated answer

To find the mass of oxygen that reacted, we need to use the Law of Conservation of Mass, which states that in a chemical reaction, the mass of the reactants equals the mass of the products.

First, we need to find the number of moles of hydrogen that reacted:

Molar mass of hydrogen (H₂) = 2.016 g/mol

Number of moles of H₂ = mass/molar mass = 46.2 g/2.016 g/mol = 22.92 mol

Next, we need to use the balanced chemical equation to find the number of moles of water produced:

hydrogen + oxygen → water

2H₂ + O₂ → 2H₂O

From the equation, we can see that for every 2 moles of H₂, 1 mole of O₂ is required to produce 2 moles of H₂O. Therefore, the number of moles of O₂ required to produce 22.92 moles of H₂O is:

Number of moles of O₂ = 1/2 x 22.92 mol = 11.46 mol

Finally, we can find the mass of oxygen that reacted by using its molar mass:

Molar mass of oxygen (O₂) = 32.00 g/mol

Mass of oxygen = number of moles x molar mass = 11.46 mol x 32.00 g/mol = 366.72 g

Therefore, the mass of oxygen that reacted is 366.72 g.

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The element used most in development of atomic weapons

Answers

Answer:

Explanation:

uranium processing.

polar molecules have attractive dipole-dipole interactions when the dipoles are arranged in which of the following geometries?

Answers

When the dipoles are organized in head-to-tail; antiparallel and side-to-side geometries, polar molecules exhibit attractive dipole-dipole interactions. molecules that are polar.

Because PCl₃ is polar, dipole-dipole attractions will occur. Nonpolar F₂, ionic FeCl₂, and nonpolar CO₂. Dipoles develop in amplitude as covalent bonds get more polar, and hence dipole-dipole attractions expand in size. Dipole-dipole interactions occur when partial charges produced inside one molecule are attracted to an opposing partial charge in a neighboring molecule. Polar molecules align so that the positive end of one molecule interacts with the negative end of another.

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The actual question is:

Polar molecules have attractive dipole-dipole interactions when the dipoles are arranged in which of the following geometries?(Select all that apply)

head-to-tail; side-to-side; antiparallel; diagonal; round and round

6. Cross-cuts are best made with which of the following types of knife? A. Utility knife B. Scaler C. Paring knife D. Chef's knife

Answers

Answer:

A

Explanation:

Utility knife

Answer:

Utility knife

Explanation:

a 4.30L weather balloon at 1.00 atm and 303K is released. If it shrinks to a size of 3.80L at 0.670 atm, what is the temperature?

Answers

The temperature of the globe is approximately 183.675 Kelvin.

This is an exercise in the combined gas law is a fundamental law in physics and chemistry that describes the relationship between the pressure, volume, and temperature of a gas. It is also known as the Boyle-Mariotte-Gay-Lussac law, after the three scientists who independently discovered this law in the 17th century.

The combined gas law states that the product of the pressure, volume, and temperature of a gas is constant if the amount of gas and the initial and final conditions are the same. This law is very useful to understand the behavior of gases in different situations, such as in the atmosphere or in closed systems.

The Boyle-Mariotte law states that the pressure of a gas is inversely proportional to the volume of the gas if the temperature is held constant. In other words, if the volume of a gas is reduced, its pressure will increase, and if the volume is increased, its pressure will decrease. This is important in situations such as the operation of internal combustion engines, where compressed gases are used to generate power.

Gay-Lussac's law states that the pressure of a gas is directly proportional to its temperature if the volume is held constant. In other words, if the temperature of a gas is increased, its pressure will also increase, and if the temperature is decreased, its pressure will decrease. This law is important in situations such as the operation of refrigeration systems, in which compressed gases are used to cool the air.

Finally, Charles's law states that the volume of a gas is directly proportional to its temperature if the pressure remains constant. In other words, if the temperature of a gas is increased, its volume will also increase, and if the temperature is decreased, its volume will decrease. This law is important in situations such as the production of gases in chemical processes and the measurement of the temperature of gases in the atmosphere.

The combined gas law is essential for understanding the behavior of gases in different situations, and is used in fields as diverse as engineering, physics, chemistry, and biology. With this law, we can predict how gases will behave in specific situations, and use that information to design better systems and processes that use gases.

Solving the exercise:

The mathematical formula that describes the combined gas law is:

(P₁ × V₁)/T₁ = (P₂ × V₂)/T₂

Where:

P₁ and P₂ are the initial and final pressures of the gas, respectively, in the same unit of pressure (for example, atmospheres, pascals, etc.)

V₁ and V₂ are the initial and final volumes of the gas, respectively, in the same unit of volume (for example, liters, cubic meters, etc.)

T₂ and T₂ are the initial and final temperatures of the gas, respectively, in the same temperature unit (for example, degrees Celsius, Kelvin, etc.)

The combined gas law tells us that the product of the pressure, volume, and temperature of a gas is constant if the amount of gas and the initial and final conditions are the same. This formula is very useful for predicting how one of these factors will change if the other two change.

It tells us that it releases a weather balloon of a V₁ = 4.20 L, with P₁ = 1.00 atm and a T₁ = 303 K, which shrinks by a size of V₂ = 3.80 L to a P₂ = 0.670 atm.

Then we are asked to calculate the final temperature.

The first formula is the general one and the second is the final temperature formula.

(P₁ × V₁)/T₁ = (P₂ × V₂)/T₂

T₂ = (P₂ × V₂ × T₁)/(P₁ × V₁)

Already having our formula cleared, we substitute data and solve, in such a way that:

T₂ = (P₂ × V₂ × T₁)/(P₁ × V₁)

T₂ = (0.670 atm × 3.80 L × 303 K)/(1.00 atm × 4.20 L)

T₂ = (771.438 k)/(4.2)

T₂ ≈ 183.675 K

The temperature of the globe is approximately 183.675 Kelvin.

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