How many grams do 5.6 × 1026 atoms of helium weigh?

Answers

Answer 1

One mole of Helium contains 6.02 × 10²³ atoms. Mass of one mole is 4 g. Then, He containing 5.6 × 10²⁶ atoms weighs 3720.9 g.

What is Avogadro number?

Any substance containing 6.02 × 10²³ atoms is called one mole of that substance. This number is called Avogadro number. Thus, one mole of every element contains Avogadro number of atoms.

Helium is second element in periodic table. Atomic mass of helium that is mass of one mole = 4 g

4 g contains 6.02 × 10²³ atoms. Then weight of He containing 5.6 × 10²⁶ atoms is calculated as follows:

no. of moles = 5.6 × 10²⁶/ 6.02 × 10²³ = 930.2

mass of 930.2 moles = 930.2 × 4 =3720.9 g

Therefore, the mass of He containing 5.6 × 10²⁶ atoms is 3720.9 g.

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Related Questions

How many grams is 0.5 moles?

Answers

0.5 moles of carbon weigh 6.0055 grams.

One of the chemical elements is carbon. The letter C stands for carbon, and the letter g stands for grams. As a result, 0.5 moles of carbon per gram is equivalent to 0.5 moles of carbon per gram, 0.5 moles of carbon per gram, and 0.5 moles of C per gram.

Carbon has a 12.011 atomic mass. Thus, one mole of carbon has a mass of 12.011 grams (12.011 g/mol). We multiply 0.5 moles of carbon by 12.011 to get grams, and vice versa.

no. of Grams = Moles of Carbon x 12.011

                     =0.5 × 12.011 = 6.0055

0.5 moles of carbon equal 6.0055 grams.

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The complete question is

How many grams is 0.5 moles of carbon

Predict the ideal bond angles in GeCl4 using the molecular shape given by the VSEPR theory
>120°
109.5°
120°
<120°
>109.5°
90°
< 109.5°
180°

Answers

Predict the ideal bond angles in GeCl4 using the molecular shape given by the VSEPR theory is 109.5°.

Germanium tetrachloride has an odd, acidic smell and is a colorless, fuming liquid. It is a necessary step in the creation of pure germanium metal. GeCl4 has seen a significant rise in utilization recently as a result of its employment as a reagent in the creation of fiber optics. GeO2 (germanium dioxide) may be immediately converted into germanium tetrachloride by dissolving the oxide in strong hydrochloric acid. To purify and remove the germanium tetrachloride from other products and contaminants, the resultant liquid is fractionally distilled. Rehydrolyzing the GeCl4 with deionized water will yield pure GeO2, which may then be reduced with hydrogen to get germanium metal.

complete question:Predict the ideal bond angles in GeCl4 using the molecular shape given by the VSEPR theory

109.5°

90°

120°

180°

< 109.5°

>109.5°

<120°

>120°

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Tungsten 188 decays by beta. Find the daughter product.
daughter product (mass.atomic/,element symbol);

Answers

By beta, tungsten 188 decays. The mechanism through which an insecure atomic structure is produced is known as radioactive decay.

How does radioactive decay work?

The process through which highly unstable molecular nucleus loses its energy through radiation is described as radioactive decay, also characterized as nuclear decay, radiography, radioactivity breakdown, or nuclear disintegration. A substance that has unstable nuclei is regarded as radioactive. For a large variety of human activities, radioactive decay is crucial.

What occurs when radioactive material decays?

Alpha, beta, and/or gamma rays are all types of ionizing radiation that are released when radioactive atoms decay. Because the energy is powerful enough to dislodge firmly coupled electrons from just an atom's orbit, it is known as ionizing radiation. As a result, the atom develops into a charged ion.

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6.0 mol Al reacts with 4.0 mol O2 to
form Al2O3.
4AI + 302 → 2Al2O3
How many moles of Al2O3 form when
4.0 mol O2 reacts?
[?] mol Al2O3

Answers

Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, 2.66 mole of Al[tex]_2[/tex]O[tex]_3[/tex] form when 4.0 mol O[tex]_2[/tex] reacts.

What is mole?

The SI unit of amount of substance in chemistry is mole. The mole is used to measure the quantity or amount of substance. We know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number. The stoichiometry represents the number of moles.

4AI + 3O[tex]_2[/tex]→ 2Al[tex]_2[/tex]O[tex]_3[/tex]

moles of  Al =6.0 mol

moles of  O[tex]_2[/tex]=4.0 mol

Since oxygen is limiting reagent

moles of Al[tex]_2[/tex]O[tex]_3[/tex]=2/3×4.0

                       =2.66 mole

Therefore, 2.66 mole of Al[tex]_2[/tex]O[tex]_3[/tex] form when 4.0 mol O[tex]_2[/tex] reacts.

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Heat conservation is important for polar endotherms, thus they tend to be _________ so that they __________ their surface area to volume

Answers

Polar endotherms must save heat, hence they usually have a significant surface area to volume ratio. The capacity to maintain blood is what makes heat conservation unique.

Vasoconstriction keeps it in the centre by decreasing blood flow to the outside (also known as peripheral vasoconstriction). An endotherm is an organism that uses heat produced by its internal biological processes rather than nearly exclusively relying on ambient heat to keep its body at a metabolically advantageous temperature. In thermodynamics, heat is defined as a kind of energy that crosses a thermodynamic system's boundary due to a temperature differential across the barrier. Heat is not present in a thermodynamic system.

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What does 14 mean in c14?

Answers

14 mean in C14 is C14 has atomic mass of 14.

The radioactive carbon isotope with the longest half-life, carbon-14, whose decay enables precise dating of archaeological artifacts. Six protons and eight neutrons make up the carbon-14 nucleus, giving it an atomic mass of 14. Additionally, the isotope is employed as a tracer to monitor specific carbon atoms as they undergo chemical or biological changes.

The 14 in C14  represents the number of neutrons and protons in the nucleus of that atom or we can called it atomic mass. Carbon-14: with 6 protons and 8 neutrons, and an atomic mass of 14,

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In the lab, the dominant phenotype for sheep color is wool and the recessive phenotype for sheep color is wool

Answers

The dominant phenotype for sheep color is wool because it is the most common color seen in sheep.

What do you mean by Phenotype?

Phenotype is the physical, biochemical, and physiological characteristics of an organism, as determined by both genetic makeup and environmental influences. It is the physical expression of an organism's genes, and can be seen in its morphology, development, and behavior.

Wool is usually white or off-white in color and is the result of a dominant gene. The recessive phenotype for sheep color is non-wool, which is usually a darker color, such as black, brown, or gray. This is the result of a recessive gene and is less common than the dominant gene.

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F app F fric F norm F grav Which statement best describes the forces shown in this picture? A. The force of friction and the gravitational force are balanced. B. The force of friction is less than the applied force. C. The normal force and the gravitational force are balanced. D. All four forces are acting on the student.​

Answers

He is not falling nor about to fall which means he’s perfectly balanced. So this means the force in the photo and friction in this photo is in a balanced condition, balancing the boy.

How forces are balanced?

In the given picture, the applied force and the force of friction are balanced. if two forces act in the direction to make the object in a balanced state.

If the forces are in a balanced state it does not change the motion of the object, and if it is in an unbalanced state, it causes to change in the state of the motion.

Therefore, the force of friction and the gravitational force are balanced is the correct option.

     

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The given question is incomplete, so the complete question image is attached in the image below.

calculate the solubility of AgCN in a solution containing 1.0M H Ksp of AgCN is 2.2e-12 Ka of HCN is 6.2e-10

Answers

The solubility of AgCN in a solution containing 1.0M H Ksp of AgCN is 2.2e-12 Ka of HCN is 6.2e-10 is 5.9 x 10^-2M.

Given concentration of H+ (M) = 1.0M

Ksp of AgCN = 2.2e-12

Ka  of HCN = 6.2e-10

AgCN ⇋ Ag+ +CN− ................Ksp

CN − + H+ ⇋ HCN................... 1/Ka​

AgCN + H+ ⇋ HCN + Ag+ ...................Ksp/Ka = K0

K0 = 2.2e-12/6.2e-10 = 0.0035 = 35 x 10-4

At Equilibrium:   AgCN + H+ ⇋ HCN + Ag+

Let the moles of [Ag+] = x

So the number of moles of [HCN] = x

K0 = [Ag+] [HCN] / [H+]

35 x 10-4 = x^2/1

x = 5.9 x 10^-2M

Hence the molar solubility of AgCN in buffer solution is 5.9 x 10^-2M.

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Why the properties of elements are repeated after 2 8 18 and 32 elements?

Answers

The properties of the elements are repeated after 2 8 18 and 32 elements because these are the maximum number of the electrons that the four shells contains.

The electronic configuration of the elements in the periodic table are repeated because the maximum number of the electrons that the four shells can have are 2 8 18 and 32. the name of the four shells are K , L, M, N. The electronic configuration of the elements are repeated and due to this the properties of the elements are repeated.

Thus, the properties of the elements are increases because the electronic configuration are repeated in the periodic table.

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Show all your work and make sure to label all the numbers with the correct units if you do, I will give you brainliest, 5 stars, and a thank you:

A: A sample of sulfuric acid has a mass of 15.0 g. How many molecules are in this sample?

B: How many moles of sulfuric acid are present in 45 g of this sample?

C: How much would a .750 mole sample of Ammonium sulfate weigh?

D: What is the mass percent of hydrogen in this sample?

Answers

Answers
A = 21 molecules
B = 0.45 moles
C = 99.1 grams
D = 2.055%

Explanations are below

A.
1. Write the formula for sulfuric acid
H2SO4

2. Find how many g/mol sulfuric acid is
H = 2*1.008 = 2. 016
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
2.016 + 32.07 + 63.996 = 98.082 g/mol

2. Convert grams to mol
15.0 grams * 1 mol/98.082 = 0.152933259925369 ~ 0.15 mol

3. Convert mol to molecules
0.15 mol * 6.02*10^23 molecules/ 1 mol = 20.769 molecules ~ 21 molecules

B.
1. Convert grams to moles
45 grams * 1 mol/ 98.082 grams = 0.458799779776106 ~ 0.45 moles

C.
1. Write the formula for ammonium sulfate
(NH₄)₂SO₄

2. Find the weight of the formula above
N = 2 * 14.01 = 28.02
H = 8 * 1.008 = 8.064
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
28.02+8.064+32.07+63.99 = 132.153 g/mol

3. Convert mol to grams
0.750 mol * 132.153 g/ 1 mol = 99.11475 grams ~ 99.1 grams

D.
1. Find the molar mass of all elements and combined

H = 2*1.008 = 2. 016
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
2.016 + 32.07 + 63.996 = 98.082 g/mol

2. To find the mass percent, use the equation molar of element divided by molar mass of the products combined in parentheses times 100.
(2.016/98.082) * 100 —> 0.02055423013397 * 100 = 2.05542301339695 %
This can written as 2.055% since 2.016 has 4 significant figures

How many ATP's is produced in the glycolysis of 2 glucose molecules?

Answers

Answer: 4 ATP molecules is produced in the glycolysis of 2 glucose molecules

How is ATP produced?

The first stage of most carbohydrate catabolism, which is described as the breakdown of larger molecules into smaller ones, is glycolysis, which is a part of cellular respiration. Two Greek words that mean "to break down anything sweet" are the source of the word glycolysis. Two molecules of ATP are created during the breakdown of glucose and formation of pyruvate during glycolysis.

Explanation:

2 ATP are produced.

For every glucose molecule, meaning that for every 2 glucose molecules, 4 ATP will be created.

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Rusting as a redox reaction in details

Answers

The reactant is iron (Fe) and the oxidizing agent is oxygen (O). This reaction results in the the formation of a compound known as iron oxide (Fe2O3), which is commonly referred to as rust. The reaction can be written as:

Fe + O2 --> Fe2O3

The oxidation process involves the loss of electrons from the Fe atoms, as oxygen gains electrons and is reduced. The electrons are transferred from the iron to the oxygen, resulting in the formation of iron oxide, which is an insoluble solid.

Answer:

An oxidation-reduction reaction, or redox reaction, is a reaction in which there is a transfer of electrons between chemical species (the atoms, ions, or molecules involved in the reaction).

The reaction can be written as: [tex]\bold{Fe + O2 \Rightarrow Fe_2O_3}[/tex]

An 80.0-gram sample of water at 10.00C absorbs 1680 Joules of heat energy. What is the final temperature of the water

Answers

108°C is the final temperature of the water after absorption of 1680 Joules of heat energy.

What is temperature?

Temperature is a physical quantity used to measure the average kinetic energy of molecules in matter. This is measured with a thermometer or other device that measures the average kinetic energy of the molecules within the substance. The terms Celsius (°C), Fahrenheit (°F), or Kelvin are commonly used to describe temperature (K). Temperature can affect the physical state of matter.

By rearranging the equation gives:

ΔT = q/mc

Plugging in the given values,

ΔT = 1680/ (80.0 g × 4.184 J/g·C)

= 98°C.

Since the initial temperature was 10°C, the final temperature is:

ΔT = T₂ - T₁

98°C = T₂ - 10

T₂ = 108°C

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How many cm is meter stick?

Answers

100 cm is meter stick.

Centimeter is denoted by the (cm). It is a metric unit of the measurement which is used for measuring the length of an object.

Meterstick is a foldable ruler which is used to measure the length, and it is common in the construction industry. They are made up of wood or plastic and often they have a plastic or metal joints so that they can be folded together.  

A meter measuring stick, which is one meter (39.37 inches) long, it contains 100 centimeters. Thus, centimeter is equal to one-hundredth of a meter. The word centimeter comes from the late 18th-century. The word centimeter derived from the Latin root "centum"/ means "hundred" and the Greek root "metron", meaning "measure".

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Which isotope, when bombarded with nitrogen-15, yields the artificial isotope dubnium-260 plus 4 neutrons

Answers

The isotope that when bombarded with nitrogen-15 yields the artificial isotope dubnium-260 plus 4 neutrons is californium-249.

Californium-249 is a heavy element and when bombarded with nitrogen-15, which is a light element, undergoes a nuclear reaction known as a "cold" fusion reaction. This reaction results in the formation of the artificial isotope dubnium-260, which has a higher atomic number than the starting element and the release of 4 neutrons.This process is known as a Nuclear Transmutation, which is a process in which one element is converted into another element by bombarding it with a beam of particles such as protons, neutrons, or other ions.

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Thermal energy always moves from _ _ _ _ to _ _ _ energy.

Fill in the blanks.

Answers

Thermal energy always moves from higher energy area to lower energy area over a temperature gradient.

What is thermal energy?

Thermal energy is a form of energy by virtue of temperature of a body. As the temperature of a body increase its thermal energy increases. Thermal energy or heat energy transfers though medium and vacuum from higher energy area to lower energy area.

Heat transfer can be through conduction in solids, convection in fluids and by radiation through space. In conduction, the thermal energy easily transfers through a chain of close packed molecules.

In all these mode of heat transfer heat energy is flowing from a hotter region to a colder region.

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A sealed, insulated calorimeter contains water at 310 K. The surrounding air temperature is 298 K, and the water inside the calorimeter remains at 310 K two hours later. What type of system does the calorimeter attempt to model

Answers

There is no heat exchange with the environment since the calorimeter is insulated. This may be demonstrated by saying: Since the calorimeter is a fixed unit, it follows that its heat capacity likewise has a fixed value.

Calorimeters are the tools used to measure the amount of heat. The definitions of heat and temperature, the quantity of heat absorbed to raise a body's temperature, the distinction between heat and temperature, and specific heat capacity are among the fundamental ideas presented in this chapter. A chemical reaction's associated thermal energy change is what causes a calorimeter's temperature to fluctuate. If the calorimeter absorbs heat (q calorimeter > 0) and its temperature rises, the reaction is producing heat (q rxn 0).

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The reaction between NO(g) and O2(g) produces a single product. The reaction occurs in a rigid reaction vessel represented in the diagram above. Which of the following statements correctly predicts the change in average molecular velocity of the molecules as the reaction goes to completion at constant temperature and provides the correct explanation

Answers

The average molecular velocity of the molecules will decrease as the reaction goes to completion at a constant temperature.

What is Molecular velocity?

Molecular velocity is the average speed of molecules in a sample of matter. It is determined by the temperature of the sample, with higher temperatures resulting in higher molecular velocities.

This is because the reaction produces a single product, meaning that the number of molecules in the reaction vessel is decreasing as the reaction goes to completion. As the number of molecules decreases, the average molecular velocity of the molecules decreases as well.

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Which component of the periodic table is needed to determine why KCl tastes like NaCl? A. Group B. Period C. Atomic Weight D. Atomic Number

Answers

Atomic Number of the periodic table is needed to determine why KCl tastes like NaCl.

What is the Periodic Table?

The Periodic Table is a tabular arrangement of the chemical elements organized by atomic number, electron configuration, and recurring chemical properties. It is one of the most important tools in chemistry, providing a useful framework to classify, systematize, and predict the properties of elements.

Atomic numbers are used to identify each element in the periodic table, and they are also used to determine the number of protons in the nucleus of an atom. The number of protons in an atom determines its chemical properties, and the similarity in the number of protons between two elements can explain why they have similar properties. In this case, the similarity in the atomic number of potassium (K, atomic number 19) and sodium (Na, atomic number 11) explains why the salts of both elements, potassium chloride (KCl) and sodium chloride (NaCl), taste the same.

Hence, Option D is correct.

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Which sample of matter has the lowest average kinetic
energy?
O 50. g at -55°C and 2.0 atm
O 50. g at 273 K and 4.0 atm
O 50. g at 33°C and 3.0 atm
O 50. g at 367 K and 1.0 atm

Answers

The given sample of matter has the lowest average kinetic energy is 50g at -55°C and 2.0 atm option - A is correct answer.

What exactly is kinetic energy?

The force an object experiences as a result of motion is known as kinetic energy. An object can only accelerate if a force is applied to it. We have to put in the effort to use force. Once the work is done, energy is transferred to the object, which then moves at a new, constant speed.

Kinetic energy, which can be seen in the motion of an object or subatomic particle, is the energy of motion.

The average kinetic energy is the subject of the query. Thus, the only connection is to temperature. Kinetic energy increases with increasing temperature and decreases with decreasing temperature.

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How many grams of magnesium

sulfate (MgSO4) are dissolved in

0. 965 L of a 0. 0575 M solution?

Molar Mass Mg: 24. 30 g/mol

Molar Mass S: 32. 06 g/mol

Molar Mass O: 16. 00 g/mol

Answers

Magnesium sulfate, or MgSO₄, weighs 6.68 g, and dissolves about 0. 965 L of the a 0. 0575 M solutions.

For what use in chemistry?

A solution is created when a solvent and a solute, two different compounds, are mixed together. When a salt and a solvents is mixed, a solution is created. Commonly, one substance will dissolve in another to create a solution, such as when salt dissolves in water. Nevertheless, a solution can be produced under any state of matter.

Molar mass MgSO₄ = 120.36 g/mol

You have a 0.0575 M solution

That is equal to 6.9207 g/L or 0.0575 mol/L * 120.36 g/mol.

But you want mass in 0.965 L

Mass equals 0.965 L times 6.9207 g/L, or 6.68 g.

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mendeleev is given the most credit for the concept of a periodic table of the elements because:

Answers

Mendeleev is given the most credit for the concept of a periodic table of the elements because he emphasized its usefulness in predicting the existence and properties of unknown elements.

What is Periodic table?

This is referred to as a tabular arrangement of the chemical elements by increasing atomic number which displays the elements so that one may see trends in their properties.

It consists of a rows and columns arrangement of the chemical elements and each they are grouped according ti the similar features which are present in the elements.

Mendeleev was the scientist who was given the most credit for the concept of a periodic table of the elements despite others working on it previously as a result of his emphasis in its usefulness in predicting the existence and properties of unknown elements.

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Methanol (methyl alcohol or wood alcohol) is a potential automotive fuel, either in pure form or mixed with gasoline. Some fleet vehicles, such as municipal buses, have been modified to burn methanol-containing fuels. These fuels are also used by some race cars. A particular automobile modified to use a mixture of 85.0% methanol and 15.0% gasoline by mass gets 25.5 mi/gal. The fuel has a density of 0.775 g/mL. How many kilograms of methanol does the automobile consume in a trip of 808 km

Answers

Answer:

it’s 4

Explanation:

suppose scientist have found three oxide materials that could potentially be used as a cathode to a magnesium or sodium anode in a battery for electrons plan an investigation to determine the best battery what characteristics did you test for

Answers

The sodium is the anode of the cell while the magnesium is the cathode of the cell.

How would the investigation go?

We know that in the cell, we are going to have just about two electrodes in the cell and we would have the cathode and the anode. We have to know that the cathode is the point by which the current would enter the cell and the cathode is the point from which the current would leave the cell.

Having said this, we should know that the investigation would have to take into account the reduction potentials of the magnesium as well as that of the sodium as these can be used in the construction of the cell that is under study here.

Hence, by consideration of the electrode potentials, we can see that the sodium would have to act as the anode of the cell and we would keep up with the magnesium as the cathode of the cell.

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C3H8 + 3O2 → 3CO2 + 4H2

How many moles of oxygen are necessary to react completely with 7.2 moles of hydrogen?

(round to the tenth's place)

Answers

Taking into account the reaction stoichiometry, a amount of 5.4 moles of oxygen are necessary to react completely with 7.2 moles of hydrogen.

Reaction stoichiometry

In first place, the balanced reaction is:

C₃H₈ + 3 O₂  → 3 CO₂ + 4 H₂

By reaction stoichiometry, the following amounts of moles of each compound participate in the reaction:

C₃H₈: 1 mole O₂: 3 molesCO₂: 3 moles H₂: 4 moles

Mass of O₂ required

The following rule of three is used: If by reaction stoichiometry 4 moles of H₂ are produced by 3 moles of O₂, 7.2 moles of H₂ are produced by how many moles of O₂?

moles of O₂= (7.2 moles of H₂×3 moles of O₂)÷ 4 moles of H₂

moles of O₂= 5.4 moles

Finally, 5.4 moles of oxygen are required.

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If you react 9.8 grams of Zn, how many moles of H2 can you make?

Answers

Answer = 0. 43 moles.

Explanation

1. Use the equation 9.8 grams * 1 mol/22.99 grams to find out how many moles you can make.

2. Use a calculator and insert 9.8 * (1)/(22.99), which should give you 0.426272292301.

3. Since 9.8 has 2 significant figures, round 0.426272292301 to 2 significant figures, which would be 0. 43 moles.

what percent composition tell you about a molecule

Answers

Answer:

tells you by mass what percent of each element is present in a compound.

Explanation:

The freezing of methane is an exothermic change. What best describes the temperature conditions that are likely to make this a spontaneous change

Answers

The correct answer is option C: Low temperature only, because entropy decreases during freezing.

When a substance changes from a gas to a solid, the entropy (measure of disorder) of the system decreases. This is because the solid has a more ordered structure than the gas. The decrease in entropy is accompanied by a decrease in temperature and an increase in enthalpy (heat content).For a process to be spontaneous, the entropy change must be positive, so the freezing of methane is spontaneous only if the temperature of the surroundings is lower than the temperature of the methane. Thus, the heat released from the exothermic process will be absorbed by the surroundings, the temperature of the methane will decrease, and the entropy of the system increases, driving the process towards completion.

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The complete question is :

Methane freezing is an exothermic process. Which of the following best describes the temperature conditions that are most likely to cause this spontaneous change? Because entropy increases during freezing, any temperature. Because entropy decreases during freezing, any temperature. Only at low temperatures because entropy decreases during freezing. Only at high temperatures, as entropy

How many total ATP are produced during glycolysis ?

Answers

During glycolysis, each G3P produces two ATP, for a total of four ATP per glucose molecule.

What is glycolysis?

The metabolic mechanism that transforms glucose to pyruvate is known as glycolysis. This free energy is utilized to create the high-energy molecules adenosine triphosphate and reduced nicotinamide adenine dinucleotide. Glycolysis is a series of 10 enzyme-catalyzed processes. The initial stage in the breakdown of glucose to extract energy for cellular metabolism is glycolysis. Glycolysis is divided into two phases: energy-requiring and energy-releasing. Glycolysis is the process of breaking down glucose to create energy. It generates two pyruvate molecules, ATP, NADH, and water. The process occurs in a cell's cytoplasm and does not require oxygen. It can be found in aerobic and anaerobic organisms.

Here,

Each G3P produces two ATP during glycolysis, for a total of four ATP per glucose molecule.

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Is y 4 a horizontal asymptote? A line is parallel to y = -3x + 2 andintersects the point (4, 3). What is theequation of this parallel line?y = [?]x + [ ]Hint: Use the Point-Slope Form: y - y = m(x -x1)Then write the equation in slope-intercept form.Enter A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of 12 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 58 bolts. The sample mean bolt length was 12.07 centimeters. The population standard deviation is known to be o=0.25 centimeters. what is the test statistic z? what is the p-value? The Federalists and the Democratic-Republicans emerged as separate political parties partly as a result of disagreement over-: how the nation should develop economicallywhether to enforce the Monroe Doctrinehow the nation should admit new stateswhether to approve the Declaration of Independence Imagine that you have just made a fresh apple pie. When you take it out of the oven, it is so hot, you can't even hold it in your hand; so you place it on the kitchen table. Now, several minutes later, you are able to cut a slice and eat it. The apple pie has cooled, the question now is, where has the heat gone? Select which of the following below is most likely to have occurred and provide a well developed, written explanation for your response using scientific principles learned in class. which word is a synonymy for be fired which three people groups is in these hot climates were little to no clothes 2. Two sidewalks in a park are represented by lines on a coordinate grid.Sidewalk 1: 3x + 3y = 6Sidewalk 2: y = x + 6(a) Find the solution to the system of equations by using the substitution method.(b) Show ALL of your steps. Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. complete the diagram to show smaller and larger batches that would taste the same as lin's favorite blend. please help it's due tomorrow The table shows the heights y (in centimeters) of a plant after x weeks. Use the table to complete the statements.x 048y 17 29 41 50 points help me out Can someone explain to me how to do this?solve - 2 = 7x = ? explain the terms balkanizataion and ethic cleansing support the idea that the region is a shatter belt Read the passage from the opinion of the court in Dred Scott v. Sandford, written by Justice Taney.The question before us is, whether the class of persons described in the plea in abatement compose a portion of this people, and are constituent members of this sovereignty? We think they are not, and that they are not included, and were not intended to be included, under the word "citizens" in the Constitution, and can therefore claim none of the rights and privileges which that instrument provides for and secures to citizens of the United States. On the contrary, they were at that time considered as a subordinate and inferior class of beings, who had been subjugated by the dominant race, and, whether emancipated or not, yet remained subject to their authority, and had no rights or privileges but such as those who held the power and the Government might choose to grant them.What is Taneys claim in this passage?that Black people were covered by the Constitutions definition of citizenthat emancipated Black people had rights guaranteed by the governmentthat Black people were not part of the group considered citizens by the Constitutionthat Black people would have to get the government's permission to be citizens What was Darwin's conclusion from examining the different types of finches? What are the effects of poor physical health? In which step was the addition property of equality applied? What it means when a function and its inverse is the same? A comparison of play-like sport to duty-like sport finds that play-like sport considersA)sport participation justified by the utility of the sportB)sport as something that we must do because of what it does for usC)the value of sport is its ability to improve health and teach civil valuesD)sport participation justified by its intrinsic value Which of the following is not an example of judicial review of an athletic association decision?O The decision involves an on-field decision by an umpire or referee.O The decision violates public policy because it is fraudulent.O The decision exceeds the scope of the athletic association's authority.O The athletic association breaks one of its own rules.