9. The Sun is powered by the fusion of hydrogen atoms into
helium atoms. When the Sun has exhausted its hydrogen sup-
ply, it could fuse helium-4, forming carbon-12. Write a
balanced nuclear equation for this process.

Answers

Answer 1

Answer: A balanced nuclear equation for the fusion of helium-4 to form carbon-12 would be:

He-4 + He-4 -> C-12 + energy

In this equation, two helium-4 atoms fuse to form a single carbon-12 atom and release energy. This process would occur in the core of the Sun once it has exhausted its supply of hydrogen and begins to fuse helium-4.


Related Questions

what is the iupac name of the following compound? multiple choice 4-hydroxy-3-methylbutanoic acid 3-hydroxy-2-methylbutanoic acid 1-hydroxy-2-methylbutanoic acid 3-(hydroxymethyl)butanoic acid

Answers

The IUPAC name of the given compound is option A)  4-hydroxy-3-methylbutanoic acid

The International Union of Pure and Applied Chemistry (IUPAC) nomenclature of organic chemistry is a system for naming organic chemical compounds in chemical nomenclature (IUPAC). It appears in the Blue Book, also known as the Nomenclature of Organic Chemistry. Every potential organic molecule should ideally have a name that can be used to generate a clear structural formula. Inorganic chemistry has its own IUPAC terminology as well.

Except when it is required to provide a compound an unambiguous and absolute definition, the official IUPAC naming rules are not usually followed in practice because it is preferable to avoid verbose and tiresome names in everyday communication. Sometimes, IUPAC names are shorter than earlier terms, for as when ethanol is used in place of ethyl alcohol.

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aluminum metal reacts with chlorine gas to form aluminum chloride the reaction starts with 3 g of chlorine gas and unlimited supply of aluminum, how many grams of aluminum chloride can be formed?

Answers

The aluminum metal reacts with chlorine gas to form aluminum chloride the reaction starts with 3 g of chlorine gas , grams of aluminum chloride formed is 3.73.

The balanced reaction is given as :

2Al +  3Cl₂   ---->   2AlCl₃

mass of Cl = 3 g

molar mass of Cl₂  = 71 g/mol

moles of Cl₂  = mass / molar mass

                      = 3 / 71

                      = 0.0422 mol

3 mole of Cl₂  produces 2 moles of AlCl₃

0.0422 mol of  Cl₂   = (2/3) 0.0422

                                  = 0.028 mol of AlCl₃

mass of AlCl₃ = molar mass × moles

                      = 133.34 × 0.028

                      = 3.73 g

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each of the structures for clocl , ncoh , and clno has atoms connected in the order given in their formulas. identify the type of hybridization for the central atom in each compound.

Answers

The type of hybridization for the central atom in each compound is as follows ; Initially we can determine the precise hybridization of each of the mentioned atoms by examining the structures of each molecule.

When we look at ClNO, we can see that the nitrogen atom is linked to chlorine by a single bond while also maintaining a lone pair on oxygen by double bonds. The nitrogen is therefore in a sp2 hybridized form.

As is expected for ClOCl, the molecule has two lone pairs on the oxygen atom and an sp3 hybridized oxygen atom connected to two chlorine atoms.

The carbon atom in NCOH is sp2 hybridized because it is doubly linked to oxygen.

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compare the temperature changes in the stratosphere with those in the thermosphere. Include the role of ozone in your explanation

Answers

The stratosphere, which can be found above the troposphere and below the mesosphere, is the second layer of the Earth's atmosphere (/straetsfr, -to-).

What is stratosphere?The stratosphere is an atmospheric layer that is made up of stratified temperature levels, with the warm layers of air high in the sky and the cool layers of air low in the sky, near the surface of the Earth. The ozone layer's ability to block the sun's ultraviolet (UV) radiation is what causes temperatures to rise with altitude. As opposed to the troposphere, which is close to the Earth's surface, where temperature drops with height, the temperature inversion is a phenomenon.The tropopause border, which separates the temperature inversion from the troposphere, is located between the two layers of the atmosphere.The lower stratosphere can reach heights of 20 km (66,000 ft; 12 mi) close to the equator, 10 km (33,000 ft; 6.2 km) in midlatitudes, and roughly 7 km at the poles (23,000 ft; 4.3 mi). Temperatures range from a mean of 51 °C (60 °F; 220 K) near the tropopause to a mean of 15 °C (5.0 °F; 260 K) towards the mesosphere.  The stratosphere's temperatures also alter with the seasons, dropping to especially low levels during the polar night (winter). In the Southern polar vortex, stratospheric winds can reach speeds of up to 60 m/s (220 km/h; 130 mph), significantly exceeding those in the troposphere.

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calculate the mass percent of a nacl solution prepared by mixing 35.0 g nacl with 125.0 ml of pure water.

Answers

Mass percent of Sodium Chloride solution prepared by mixing is 21.875%.

A mixture is a chemical substance comprised of two or more unrelated chemical components. A mixture is a physical combination of two or more distinct substances that can take the form of solutions, suspensions, or colloids. Solutions of salt and water are an example of a homogeneous mixture, whereas sand and water and oil and water are instances of heterogeneous mixtures.

Density of Water = 1g/mL

So, 125 mL of water weighs 125g

Mass of [tex]NaCl[/tex] = 35.0g

Total mass of solution = 125g+35g = 160g

Mass % of [tex]NaCl[/tex] =(Mass of [tex]NaCl[/tex] / Total Mass ) × 100

                         = (35/160) × 100

                          = 21.875%

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true or false: the first step in the hydrogen burning process is a helium atom fusing with a hydrogen atom.

Answers

It is false that a helium atom fusing with a hydrogen atom is the initial stage in the hydrogen-burning process.

Four hydrogen protons and two electrons are used in the basic hydrogen fusion cycle, which results in the creation of a helium nucleus, two neutrinos, and six photons. The first stage in this three-phase process is the fusion of hydrogen into deuterium. In this collision of two protons, one proton decays into a neutron, which releases an antielectron and a neutrino.

The last proton joins the neutron to form a heavy hydrogen (deuterium) nucleus, and the newly created antielectron will annihilate with an electron to generate two very high-energy photons.

A proton is grabbed by a deuterium nucleus, which subsequently emits a photon and forms a 3He nucleus, in the second phase of the synthesis of helium-3.

The third phase involves recombining two helium-3 atoms into a single helium nucleus while emitting two protons.

Take note that for every time step 3 happens, steps 1 and 2 each occur twice. The total net energy released during this process is 26 MeV.

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Describe early models of the atom in less than 75 words. Start with Democritis, mention the contributions of Aristotle, John Dalton, Rutherford, Thomson, and Bohr.

Answers

Democritus said matter can not be divided indefinitely, Aristotle said that matter was made of four elements while John Dalton proposed a modern atomic model based on experimentation. Rutherford said atoms are mostly empty space, Thompson brought about negative electrons in a positive framework.  Bohr said that electrons orbit the nucleus in “shells.

What are the atomic models?

There are many atomic models that was proposed which includes:

the Bohr model, the Rutherford model, the probability model, the orbital model, the probability orbit model, and the wave model.

Rutherford in his experiment shot alpha (α) particles at gold foil whereby most particles passed through.

Hence he concluded the following:

atoms are mostly empty. a “nucleus” is positive and holds most of an atom’s mass

Some positive α-particles deflected or bounced back.

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where are all the connections to the different amino acids start PLEASE HELP I NEED IT RIGHT NOWWWW my life will be over!!!!

please :)

Answers

The connections to the different amino acids in a protein are through peptide bonds.

What are amino acids?

Amino acids are the basic monomer units that proteins are composed of.

Hence, proteins are polymers of monomeric units called amino acids.

Amino acids have a basic structure where a chiral carbon atom is bonded to four different groups.

The four groups present in amino acids are:

a hydrogen atoman amino group a carboxyl group, andan R group

Amino acids in proteins are linked to each other by means of peptide bonds. The peptide bond is formed from an amino group and a carboxyl group with the removal of a water molecule.

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An atom has 8 protons, 8 neutrons, and 10 electrons.

What is the mass of this atom?

Answers

16 is the mass of this atom.

The Oxygen (O) has an atomic number of 8 and has a mass number of 16. Upon accepting 2 electrons it becomes O2-. The mass number is defined as the sum of the number of protons and neutrons present in the molecule. So here for O2- it contains 8 protons,8 neutrons and 10 electrons.

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ANSWER ASAP FOR 90 POINTS Question: Air pressure is...

A.high and low at the bottom
B. same at the top same at the bottom
C.low at the top low at the bottom
D.low at the top hight at the bottom

Answers

Air pressure is D.low at the top hight at the bottom.

How much air pressure is typical?

Pressure is the force that the air applies to the ground when gravity acts on it. At sea level, there is typically a pressure of 1013.25 millibars, or 14.7 pounds per square inch.

When the air pressure is high, what happens?

High pressure frequently heralds sunny, dry weather. Clouds and precipitation are frequently indicative of low pressure. Air that is sinking is related with high pressure. Because it is pushing DOWN on the ground, air pressure is higher.

How do we react to air pressure?

High barometric pressure exerts additional pressure against our bodies, which restricts how much tissue can expand. On the other hand, when air pressure is low, our body's tissues can expand more, which results in more pressure.

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Determine whether each of the examples represents a colligative property or non colligative property

1. freezing point depression
2. density
3. boiling point elevation
4. vapor pressure lowering
5. colour

a. colligative
b. non colligative
c. colligative
d. colligative
e. non colligative

Answers

Colligative qualities include boiling point elevation, freezing point depression, and vapor pressure reduction. Color and density are non-colligative qualities.

Colligative qualities are those that rely on the number of particles of solute rather than the composition of the solute.

An example of a colligative property:

Reduced vapor pressure

Boiling point at an elevation

a drop in the freezing point

The osmotic pressure

Non-colligative qualities are those that are determined by the nature of the solute and solvent.

Non-colligative qualities include:

Viscosity

The surface tension

Density

Solubility

As a result, we may deduce that boiling point elevation, freezing point depression, and vapor pressure reduction are all colligative qualities. Color and density are also non-colligative qualities.

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For a laboratory exercise in class, a student is given a mixture of small pieces of iron, sand, water, and salt. what physical property could be used to best separate the iron from the other ingredients?
a. Solubility
b. Magnetism
c. Melting Point
d. Electrical Conductivity

Answers

Answer:

solubility

Explanation:

the solid substances will be added to water to see which one is soluble

a 1.50 g sample of hydrocarbon undergoes complete combustion to produce 4.40 g of co2 and 2.70 g of h2o. what is the empirical formula of this compound? in addition, its molecular weight has been determined to be about 78. what is the molecular formula?

Answers

the empirical composition of this substance Its molecular weight has also been calculated to be around 156.

the molecular equation Response: CGHG.

Calculate the grams of carbon and hydrogen in 4.40 g of CO2 and 2.70 g of H2O, respectively.

4.40 g x (12.011 g/44.0098 g) = 1.20083 g of carbon

2.70 g times (2.0158 g / 18.0152 g) Equals 0.3021482 g of hydrogen

2) Calculate the corresponding number of moles from the grams of C and H molecular weight..

20083 g / 12.011 g/mol = 0.09998 mol of carbon

In terms of hydrogen, 0.3021482 g / 1.0079 g/mol equals 0.2998 mol

3) To break up the molar amounts listed above into smaller, more manageable amounts, divide each one by its lowest value.

numbers.

0.09998 mol/0.09998 mol = 1 for carbon.

hydrogen: 0.298 mol/0.0998 mol = 2.9986 mol = 3

We have now discovered the solution: the substance's empirical formula is CGHG

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Can someone help me please

Answers

Answer: I believe the answer is B

a chemist reacted 0.20 moles 4-aminophenol (109.13 g/mol) with 0.25 moles of acetic anhydride (102.09 g/mol) to synthesize acetaminophen. if 22 g acetaminophen (151.163 g/mol) was generated, what was the percent yield of the reaction? (only type the number, not the percent sign)

Answers

If 22 g acetaminophen (151.163 g/mol) was generated. The percent yield of the reaction is 72.78 %.

Calculation :

C₆H₇NO  +  C₄H₆O₃  --> C₃H₉NO₂ + C₂H₄O₂

0.20 moles   0.25 moles    22g

limiting reagrnt  --> C₆H₇NO

from reaction equation

.20 mol of acetaminophen = .20*151.163 = 30.23 g

% yield = (practical/ theoritical)yield* 100 = 72.78 %

reaction yield. The reaction yield (absolute yield) of a chemical reaction is the amount of pure, dry product recovered from the reaction. Relative yield or percent yield (%) is commonly calculated to measure the efficiency of chemical reactions in organic synthesis.

Yield, also called reaction yield, is a measure of the molar amount of product to reactant consumed in a chemical reaction, usually expressed as a percentage.  Yield is one of the main factors that scientists must consider in organic and inorganic chemical synthesis processes. [2] In chemical reaction engineering, “yield,” “conversion,” and “selectivity” relate to unwanted products, how much of the starting material is consumed (conversion), how much of the desired production A term used to describe the rate at which something is formed (yield). (selectivity) represented as X, Y, and S

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what special equipment did niels bohr use to develop his atomic model?

Answers

Neil Bohr used the fluorescent screen and an alpha particle detector to study the structure of an atom.

What is an atom?

An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.

Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.

The atom as a whole is neutral and stable due to presence of oppositely charged particles.

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How many elements belong to the Halogen family? List the member elements by their symbol?

Answers

Answer:

5

Explanation:

fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (At).

A btu is defined as the amount of energy required to raise the temperature of one lb of water by one degree celsius.

a. True
b. False

Answers

Answer:One BTU is defined as the amount of energy required to raise the temperature of  1 lb of water through 1 degree Fahrenheit

Explanation:

how are components separated using distillation? the substance with the [ select ] vapor pressure is vaporized first, and then it is

Answers

The material with the lower boiling point vaporizes first when heated, then condenses and collects.

The heat that is generated during the condensation process of higher boiling vapor is what leads to the process of vaporization. Because it has such a huge surface area, the packing enables vapors to move freely between the ascending and descending directions. In the process of evaporation, the vaporization happens at a temperature lower than the boiling point, whereas in the distillation process, the vaporization happens at the boiling point.

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✔ Question 1
Below is a picture of the rock strata of a mountain.
What can you infer about the layers in this picture?

Answers

Sedimentary rock layers are referred to as rock strata.

What is a rock?

A rock is a dense mass of mineral grains that have grown or been cemented together over time. There are big rocks and little rocks. Pebbles are little rocks.

The sediment grains that are deposited by water, wind, or ice become sedimentary rocks. They are always formed in layers and are referred to as "beds" or "strata," and frequently include fossils.

Weathering, erosion, deposition, compaction, and cementation are the processes that result in the formation of these horizontal layers. Newer layers are deposited and created during this process on top of older layers, allowing for the relative dating of each layer.

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Khloe is preheating her oven before using it to bake. Khloe wants to predict the final temperature after xx minutes. She wrote the equation y=20x+78y=20x+78, where yy represents the final temperature in degrees fahrenheit. What is the meaning of the yy-value when x=1x=1?.

Answers

The final temperature of the oven after being preheated, y is 98 degrees Fahrenheit.

What is the relationship between the final temperature and the time taken to preheat the oven?

The relationship between the final temperature, y, and the time taken to preheat the oven, x is given by the equation below:

y = 20x + 78

where;

the final temperature is  y,

and the time taken to preheat the oven is  x

When x is equal to 1, the value of y can be determined as follows:

y = 20 (1) + 78

y = 98 degrees Fahrenheit.

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chemical analysis shows that the oxygen-carrying protein hemoglobin is 0.34 percent fe by mass. the actual molar mass of haemoglobin is about 65000g. how many fe atoms are in one molecule of haemoglobin.

Answers

Chemical analysis shows that the oxygen-carrying protein hemoglobin is 0.34 percent Fe by mass. the actual molar mass of hemoglobin is about 65000g. There are Fe atoms in one molecule of hemoglobin

Hemoglobin efficiently transports oxygen from the lungs to the body's tissues. Additionally, it helps in the return of carbon dioxide and hydrogen ions to the lungs. For the creation of blood, iron is crucial. Red blood cells and muscle cells contain about 70% of the iron in our bodies. Given the information, we may conclude that:

Mass of Fe in hemoglobin = 0.34% of molar mass of hemoglobin

Mass of Fe in hemoglobin = 0.34% of 65000

                    = (0.34 x 65000) / 100

                    = 221 g/mol

We now understand that the molecular weight of iron (Fe) is 55.85 g/mol.

Therefore, the quantity of iron in hemoglobin divided by the molecular mass of iron gives the amount of iron in 1 mole of hemoglobin.

                                  = 221/55.85

                                  = 3.957, which is approximately equal to ‘4’

In line with this, 1 molecule of hemoglobin has 4 Fe atoms in it.

The right response is hence "4".

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a tank at is filled with of sulfur hexafluoride gas and of dinitrogen difluoride gas. you can assume both gases behave as ideal gases under these conditions. calculate the mole fraction and partial pressure of each gas, and the total pressure in the tank. be sure your answers have the correct number of significant digits. sulfur hexafluoride mole fraction: partial pressure: dinitrogen difluoride mole fraction: partial pressure: total pressure in tank:

Answers

The mole fraction of sulfur hexafluoride gas X(SF₆) = 0.361 and the mole fraction of dinitrogen difluoride gas X(N₂O) = 0.639

moles of each gas

n = m / M

where,

n: moles and m: mass, M: molar mass

SF₆: 16.7 g / 146.06 g/mol = 0.114 mol

N₂O: 8.88 g / 44.01 g/mol = 0.202 mol

The total number of moles is 0.114 mol + 0.202 mol = 0.316 mol

To calculate the mole fraction of each gas

X = moles of gas / total number of moles

X(SF₆) = 0.114 mol / 0.316 mol = 0.361

X(N₂O) = 0.202 mol / 0.316 mol = 0.639

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which metal would you expect to have the highest melting point? which metal would you expect to have the highest melting point? agag tctc rbrb

Answers

Among the elements in the periodic table, tungsten metal is expected to have the highest melting point.

Tungsten, having atomic number 74 belongs to the 6th group and 6th period of the periodic table.

It is the metal with the highest melting point i.e 3422°C . For this reason, tungsten is used as a metallic component in the filaments of electric bulbs and in cathode ray tubes.

Tungsten is considered a refractory metal due to its heat-hesistance nature. on the other hand, alkali metals such as Li,Na,K  have low melting points because of their large size of atoms and due to which the binding energies of the atoms in the crystal lattice is comparatively low, resulting in low melting point.

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what quantity is needed to convert between the moles of a given sample of a substance and its mass in grams

Answers

The molar mass of the substance is needed to convert between the moles of a given sample of a substance and its mass in grams.

What is molar mass?

A compound's molar mass, which is measured in grams per mole, specifies how much of a given material weighs in one mole. In other terms, the molar mass is the sum of the masses of all the atoms that make up a mole of a certain molecule, expressed in grams. As a result, the molar mass is measured in grams/mole.

The compound's molar mass is expressed in grams per mole, or g/mol. The mass of 1 mol, expressed in the SI as g/mol, is the definition of the molar mass. Example: Water has a molar mass of 18.016 g/mol.

Thus, The molar mass of the substance is needed to convert between the moles of a given sample of a substance and its mass in grams.

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The complete question is as follows:

What quantity is needed to convert between the moles of a given sample of a substance and its mass in grams?

a the molar mass of the substance

b the density of the substance

с the physical state of the substance

d all of the above

a 150- mgmg sample of technetium-99 mm is used for a diagnostic test. if technetium-99 mm has a half-life of 6.0 hh , how many milligrams of the technetium-99 mm sample remains active 18 hh after the test? express your answer to two significant figures and include the appropriate units.

Answers

a 150- mgmg sample of technetium-99 mm is used for a diagnostic test. if technetium-99 mm has a half-life of 6.0 hh , 19 milligrams of the technetium-99 mm sample remains active 18 hh after the test.

Decay of radioactive substances follows first-order kinetics. First order rate equation is A = Ao e-kt.  Ao = Intial active amount of substances .

A = Active amount of substance after certain time (t), K = Decay constant. k = ln2 / t½, k = 0.693 / 6.0 hr, k = 0.1155 / hr. A = Ao e-kt A = 150 mg x e-0.1155 hr?¹ x 18.0 hr. A = 18.758 mg.So Answer = 19 g of  remains active 18 h after the test.The half-life of a quantity is the time it requires to decrease to half of its original value. In nuclear physics, the term is usually used to describe how rapidly atoms undergo radioactivity or how long stable atoms live. The term is also used to describe any kind of exponentially decaying in general.

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Which of the following is an example of a heterogeneous mixture?
salad
milk
paint
toothpaste

Answers

Answer:

salad

Explanation:

a housewife used the aluminum can to keep vinegar. After sometime, it is found that the vinegar is spoiled. Give a reason.​

Answers

Answer:

Explanation:She was wrong

what is the number of moles of hydrogen atom in 6.4g of methane CH4

Answers

The number of moles of hydrogen atom in 6.4g of methane CH4 is 0.4 moles.

To find the number of moles of hydrogen atoms in 6.4 g of methane (CH4), we need to know the molar mass of methane and use the formula for converting mass to moles:

moles = mass / molar mass

The molar mass of methane is 16.04 g/mol, so we can plug in the values and solve:

moles = (6.4 g) / (16.04 g/mol)

moles = 0.4 moles

There are 0.4 moles of hydrogen atoms in 6.4 g of methane. This is because methane is a compound made up of one carbon atom and four hydrogen atoms, and the number of moles of a compound is equal to the total number of moles of all the atoms in the compound.

Since there are four hydrogen atoms in each mole of methane, there are also 0.4 moles of hydrogen atoms in 0.4 moles of methane.

how many milliliters of 2.50 m hcl (aq) are required to react with 8.05 g of an ore containing 44.0% zn (s) by mass? the molecular weight of zn is 65.38 g/mol.

Answers

43.312 mL of 2.50M HCl is required to react with zinc single displacement reaction occurs.

Hydrogen gas and zinc chloride are produced quickly by the reaction of zinc with hydrochloric acid. In a single displacement reaction, zinc metal displaces hydrogen to produce zinc chloride and hydrogen gas. Because the reaction is exothermic, a significant amount of heat is produced.

The reaction goes in following order

[tex]Zn(s)+2HCl(aq)\rightarrow ZnCl_{2}(aq)+H_{2} (g)[/tex]

Percentage of Zn = (mass of Zn/mass of Ore) x 100

Mass of Zn = [tex]\frac{44 \times 8.05}{100}[/tex] = 3.54g

n Zn= [tex]\frac{3.54g}{65.38g}[/tex] per mole = 0.054144

n [tex]HCl[/tex] = 2 x 0.054144 = 0.10828

M= [tex]\frac{n}{V}\times1000[/tex]

V=[tex]\frac{n}{M}\times1000[/tex]

[tex]\frac{0.10828}{2.50}\times1000[/tex] = 43.312 mL

So 43.312 mL of 2.50M HCl is required to react with zinc.

The reaction goes in following order

[tex]Zn(s)+2HCl(aq)\rightarrow ZnCl_{2}(aq)+H_{2} (g)[/tex]

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B. Consider what you have learned about American history during the period of 1860 to theearly 1900s. How do the stories in the Realism and Regionalism unit reflect what was going onin the country then? QUESTION 8 OF 30Using equations for KE and GPE, what is the maximum height an object willreach if it is thrown vertically upwards at 24.0 m/s ? (Answer to 3 sf with unit) In some jurisdictions, minors who become ____ means that they cannot void a contract, despite their apparent minority. Ratification. personality is best defined as an individual's group of answer choices characteristic pattern of thinking, feeling, and acting. most noticeable characteristics. biologically inherited temperament. hidden thoughts and emotions. true/false a better way to repeatedly perfrom an operattion is to write the statements for the task once andf then place the statements ina lopp that will repeat the statments as many times as necacsery if you apply demorgan's theorem to the expression overbar(overbar((overbar(a) overbar(b))) (overbar(c d))), you get: if we use a to represent the cations (in blue) and x to represent the anions (in green), what is the empirical formula of this ionic compound? which halogen forms the weakest bond to carbon? rev: 12 08 2020 qc cs-243801 multiple choice f cl br i What type of insurance IS NOT REQUIRED by the Government? Thinking Critically and Solving ProblemsPosttestWhich step comes first in the decision making process?A) Analyze the actions.B) Collect information.C) List all possible actions.D) Identify the problem.GSubmit To what extent should the following have been aware of the potential danger of Hitler: a) German moderates b) foreign governments Matilda has written a play, and while she does hope that it entertains the audience, her main goal is to spur them to take action to help preventglobal warming. What theory of theater does Matilda's work most resemble?O A.O B.O c.O D.Poetics TheoryDionysus TheoryTheatre of CrueltyEpic Theater Here are the recent financial statements for Collingdale Industries:2022 Income StatementSales 2,000COGS 1,500EBIT 500Interest expense 20Taxable income 480Taxes 192Net Income 2882017 Balance SheetCash 100Accounts payable 150Accounts receivable 70Total current liabilities 150Inventory 130Total current assets 300Long-term debt 250Common stock 100Fixed assets 700Retained earnings 500Total stockholders equity 600Total 1000Total 10002017 Statement of Cash FlowsOperating activities:Net Income 288Depreciation 70Change in accounts receivable 30Change in inventory (60)Change in accounts payable 20Cash flow from operating activities 348Investing activities:Capital expenditures (250)Cash flow from investing activities (250)Financing activitiesRepayment of borrowing (18)Cash flow from financing activities (18)A) Assume that future free cash flow will grow at 4% per year and their cost of capital is 14%, and estimate the fair market value (i.e., the enterprise value) as of year-end 2022. Enterprise value =B) Estimate the firms stock price, if there are 100 shares outstanding. Stock Price= Ron refills the oil in his car using a funnel. The upper rim of the funnel has a diameter of 8 inches. What is the rim's radius? Why does Gwendolyn Brooks use diction such as "we/ real cool'* and we/ strike straight" in herpoem "'We Real Cool'?A.to convey the teenagers' attitude and show of toughnessB.to convey the teenagers' wish to play pool rather than focus on academicsC.to convey the teenagers* rebellion against their parents and teachersD.to convey the teenagers insecurity and their desire to be at school Use the formula y = mx + b and use point slope form to write an equation for a line given with the given information. Anita is a wonderful baker and can bake 10 cakes in a day, but then has no time left to make cookies. If she bakes only cookies, she can make 200 cookies in a day. John can make equally delicious cakes and cookies but can only make seven cakes or 100 cookies in a day. Based on this information, which of the following statements is true?A) Anita has the comparative advantage in the production of cakes.B) John has the comparative advantage in the production of cakes.C) John has the absolute advantage in the production of cookies.D) Anita has the comparative advantage in the production of both cakes and cookies. I NEED HELP!!!! Use the graph of the polynomial equation y=x^4-10x + 16 to describe its concavity. How many points of inflection does this curve have? tiberius played the fox with the senate of rome and how fabius maximus cropped his ears for his cunning. What is the breadth of perimeter=50 ft and Length=15ft