what is the solubility in moles/liter for aluminum hydroxide at 25 oc given a ksp value of 1.0 x 10-33. write using scientific notation and use 1 or 2 decimal places (even though this is strictly incorrect!)

Answers

Answer 1

The solubility in moles/liter for aluminum hydroxide at 25 degrees Celcius is  2.47×109 M

What is solubility?

The maximum amount of a substance that can be dissolved in a given volume of a solvent at a particular temperature is referred to as the substance's solubility. The solubility of a given solute-solvent combination is a quality that is unique to that combination; yet, the solubility of individual compounds can vary substantially.

Given that,

Temperature= 25 degrees Celcius

Ksp value= 1.0 X 10^-33

Al(OH)3(s) ==> Al3+(aq) + 3OH-(aq)

Ksp = [Al3+][OH-]3

Let x = [Al3+], then [OH-] = 3x

1.3x10-33 = (x)(3x)3

1.3x10-33 = 27x4

x4 = 4.8x10-35

x = 2.5X10-9 M = molar solubility of Al(OH)3

Hence, the answer rounded off to one decimal point since in decimal part .466 digits in 2nd and 3rd place (66) and greater than 50. the previous digit is converted to the next digit (4-5) Even if you want to give the answer up to two decimal points then the digit in 3rd place (6) is greater than (5) so the digit in 2nd decimal place converts to (67) the answer will be 2.47×109.

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Related Questions

If a circuit is arranged so that the current may take two or more different paths, what
type of circuit is it?
An open circuit
A closed circuit
A series circuit
A parallel circuit

Answers

If a  circuit is arranged so that the current may take two or more different paths then it is a parallel circuit .

What is circuit.

circuit is a completely circular path where electricity flow.

A circuit consists a current source , conductor and a load.

It is a close path or a line forming boundary.

A parallel circuit comprises branches so that the current divided .

The rule of parallel circuit is all components share the same voltage .

It is simple safe and reliable it's allowed for additional components .

The application of parallel circuit is the electrical wiring to the power point in every household is in the form of parallel circuit.

That's why it's called parallel circuit.

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Answer:

Parallel circuit

Explanation:

Penn Foster

Ammonia gas decomposes when heated.
15
2NH₂(g) → N₂(g) + 3H₂(g)
In an experiment, a sample of 500 cm³ of ammonia was heated and 20% decomposed.
The total volume of gas present at the end of the experiment, in cm³, was
D A 200
00= 100 cm
B
400
C
600
D 1000

Answers

The total volume of gas present at the end of the experiment in cm³ was 600. Option C.

In this chemical reaction, 2 molecules of ammonia NH3 are decomposed or decomposed into 1 molecule of nitrogen N2 and 3 molecules of hydrogen H2. Laboratory glass tubing is used in many laboratories and industrial workplaces to connect other glassware and equipment and to transport or dispense chemicals, solvents, liquids, gases, and other products.

Laboratory glass tubes are typically manufactured from borosilicate glass for the most demanding applications. Ammonia gas which has a lower molecular weight than hydrogen chloride diffuses faster and travels a longer distance in the tube. As a result, a white ring of ammonium chloride forms much closer to the hydrochloric acid end of the tube.

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what is the ratio of constants at 25 c for two reactions a and bif the standard free energy of activiation of reaction a is 28 kj/mol less than that of reaction b

Answers

The ratio of the constants for the two reactions is found to be 7.10 by using the Arrhenius equation.

The Arrhenius equation is [tex]k = A e^\frac{-Ea}{RT}[/tex], where A is the frequency or pre-exponential factor and [tex]e^\frac{-Ea}{RT}[/tex] is the proportion of collisions at temperature T that have enough energy to overcome the activation barrier (i.e., have energy higher than or equal to the activation energy Ea).

The exponential part in the Arrhenius equation means that when the activation energy diminishes, the rate constant of a reaction grows exponentially. Because the rate of a reaction is exactly proportional to its rate constant, the rate also grows exponentially. Because a reaction with a low activation energy requires less energy to reach the transition state, it should occur more quickly than a reaction with a higher activation energy.

Given:

T = 25℃ = 25 + 273 = 298K

[tex]Ea^B - Ea^A[/tex] = 28kJ/mol = 28000J/mol

R = 8.314J

To find:

kA / kB = ?

Formula:

[tex]k = A e^\frac{-Ea}{RT}[/tex]

Calculations:

From Arrhenius equation,

kA = [tex]A e^\frac{-Ea^A}{RT}[/tex]

kB = [tex]A e^\frac{-Ea^B}{RT}[/tex]

kA / kB = [tex]e^\frac{Ea^B - Ea^A}{RT}[/tex]

kA / kB = [tex]e^\frac{28000}{8.314 * 298}[/tex]

kA / kB = 7.10

Result:

The ratio of the constants is found to be 7.10

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Which type of bond will most likely be found in hbr given that the electronegativity of hydrogen is 2. 20 and the electronegativity of bromine is 2. 96?.

Answers

A polar covalent bond will exist in HBr if the electronegativity of hydrogen is 2. 20 and the electronegativity of bromine is 2.96

In HBr, a covalent bond is present which is formed as a result of a small electronegativity difference between the two atoms.

It is also formed when two atoms share electrons mutually to form a bond.

For example, in the HBr case, both Bromine and hydrogen share their pair of electrons and form a covalent bond.

In general, a covalent bond forms between atoms when the forces of attraction and repulsion are balanced and in a stable condition.

In covalent bonding, shared pair of electrons is called bonding pair.

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a chemist recrystallizes 10 g of a solid and isolates 7 g as the first crop and 1 g as the second crop. what is the percent recovery in the first crop? what is the total percent recovery?

Answers

Percent recovery in the first crop is 70%

Total percent recovery is 80%

Percent recovery is defined as amount recovered divided by the total possible amount recovered

First part:

Amount recovered=7g

Total amount recoverable=10g

Percent recovery=7/10=.7=70%

Percent recovery in the first crop is 70%

Second part:

Amount recovered=(7+1)g=8g

Total amount Recoverable=10g

Percent recovery=8/10=.8=80%

Total percent recovery is 80%

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Which gas(es) ill diffuse faster than CO2, if they are all at the same temperature and concentration?

Answers

Ammonia (NH[tex]_{3}[/tex]) is the gas that will diffuse faster as it has lower molecular weight than CO[tex]_{2}[/tex].

The rate of diffusion or effusion is explained by Graham's law. According to this law, lighter atoms and molecules will diffuse through the air more quickly than heavier atoms and molecules while a gas's temperature and pressure are kept constant.

The rate of effusion of a gas is the process by which material particles from the confined region gradually start to escape. Think about how a balloon would deflate from the inside out if we made a hole in it, allowing the gas inside to start escaping into the atmosphere. This is referred to as the effusion of gas into the atmosphere.

As ammonia has lower molecular weight than CO[tex]_{2}[/tex], it will diffuse faster.

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How many total atoms does C6H₁2O6 contain?

Answers

Answer:

So, total number of atoms = 6 + 12 + 6 = 24.

Explanation:

How is it possible that when you combine Na (sodium) an explosive metal, and Cl (chlorine) a poisonous gas it creates NaCl (salt) that we put on our food?

Answers

Answer:

They share an outer electron.

Explanation:

For complementary reasons, sodium and chlorine are both highly reactive. Sodium has a single electron in its outermost, third shell, and chlorine has one electron less than eight in its outermost, fourth shell. They form a strongly bound molecule by sharing that outer electron.

how many milliliters of 3.00 m h2so4 are required to react with 4.35 g of a solid mixture containing 23.2 % (w:w) ba(no3)2? (i.e. in the original sample, there are 23.2 g of barium nitrate per 100 g of total sample) (5 pts)

Answers

1.29 milliliters of 3.00 m [tex]H_{2}[/tex] [tex]SO_{4}[/tex] (Sulfuric acid) are required to react with 4.35 g of a solid mixture containing 23.2 % (w/w) [tex]Ba(NO_{3)2[/tex]

Equation of the reaction:

[tex]H_2[/tex]S[tex]O_{4}[/tex](aq) + Ba(N[tex]O_{3}[/tex][tex])_{2}[/tex](aq) --> BaS[tex]O_{4}[/tex] + 2HN[tex]O_{3}[/tex](aq)

Mass of [tex]Ba(NO_{3)3[/tex] = wt% * mass of the solid

= 23.2 x 4.35 / 100

= 1.01 g

Number of moles of [tex]Ba(NO_{3)2[/tex] = Mass / Molar Mass

Molar mass of [tex]Ba(NO_{3})2[/tex] = 137 + (14 + (16 * 3))*2

= 261 g/mol

= 1.01 / 261

= 0.00387

Since the chemical reaction occurs between one mole of Ba(NO3)2 and one mole of [tex]H_{2[/tex] [tex]SO_{4}[/tex]. Therefore, number of moles of [tex]H_{2}[/tex] [tex]SO_{4}[/tex] = 0.00387 moles. The formula is

Volume = number of moles/molar concentration

= 0.00387/3

= 0.00129 L

V2 = 1.29 mL

Hence, 1.29 milliliters of 3.00 m [tex]H_{2}[/tex] [tex]SO_{4}[/tex] (Sulfuric acid) are required to react with 4.35 g of a solid mixture containing 23.2 % (w/w) Ba(NO3)2.

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The complete question is:

How many milliliters of 3.00 m H2SO4 are required to react with 4.35 g of a solid mixture containing 23.2 % (w:w) Ba(NO3)2? (i.e. in the original sample, there are 23.2 g of barium nitrate per 100 g of total sample).

Therefore, the independent variable was ___________
and the dependent
variable was ___________

Answers

Therefore, the independent variable was cause and the dependent

variable was effect.

What is  independent variable?

An independent variable is a variable that you manipulate or change in an experimental study to study its effects. It is called "independent" because it is not influenced by  other variables in the study.

Independent variables are also called:

Explanatory variables (they explain an event or result) Predictor variables (they can be used to predict the value of the dependent variable) Right variables (they appear on the right side of the variable) ). regression equation).

These terms are especially used in statistics, where you can assess the extent to which a change in the independent variable  can explain or predict changes in the dependent variable.

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Answer:

the whole answer for everything is

temperature

solubility

temperature

solubility

clearly supported

Explanation:

hop this helped ong

Onsider this reaction. 2mg(s)+o2(g) 2mgo(s) what volume (in milliliters) of oxygen gas is required to react with 4.03 g of mg at stp? 1860 ml 2880 ml 3710 ml 45,100 ml

Answers

The volume of oxygen required to react with 4.03g Mg at STP is found to be 1860mL by using the ideal gas equation.

An ideal gas is a theoretical gas comprised of numerous randomly moving particles that do not interact with one another. A true gas is the polar opposite; it takes up space (volume) and its molecules interact. As a result, PV is always equal to nRT.

The ideal gas law is a single equation that links an ideal gas's pressure, volume, temperature, and number of moles. The combined gas law describes the relationship between a gas's pressure, volume, and temperature.

Reaction:

[tex]2Mg (s) + O_2 (g) \rightarrow 2MgO (s)[/tex]

Given:

Mass of Mg = 4.03g

STP

To find:

Volume of Oxygen = ?

Formula:

PV = nRT

Calculations:

No. of moles of Mg = 4.03/24 = 0.168 mol

2 moles of MgO are obtained from 2 moles of Mg

1 mole of [tex]O_2[/tex] gives 2 moles of MgO

Therefore,

No. of moles of Oxygen = 0.168 / 2 = 0.084 mol

Volume of Oxygen = nRT/P

Volume of Oxygen = 0.084 x 0.082 x 273 / 1

Volume of Oxygen = 1.860L

Volume of Oxygen = 1860mL

Result:

1860mL of oxygen is required to react with 4.03g Mg at STP.

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2) How many moles of silicon are in a 56.18 g sample?

Answers

You start by finding the atomic weight of Silicon from the periodic table. Silicon is 28.086 G/mol. You multiply 56.18g * 1mol/28.086g = 2.00028484 double check how you are supposed to round

label each of the following product pairs as optically active or inactive. a. 50% r enantiomer and 50% s enantiomer b. a pair of diastereomers c. a meso compound d. 40% r enantiomer and 60% s enantiomer e. just the r enantiomer f. a racemic mixture

Answers

The optical activity of the given enantiomer pairs is inactive, active, inactive, active, active, and inactive respectively.

Enantiomers have similar physical and chemical characteristics, making it difficult to identify and separate them. A chiral compound's right- and left-handed enantiomers cause different perturbations in plane-polarized light. It has been called optical activity and is specific to chiral compounds.

Optically active substances rotate the plane of polarized light. A stereoisomeric pair has two identical but sign-opposite enantiomers, each of which is optically active. Because they are scientifically established constants that describe and distinguish pure enantiomers, specific rotations are helpful.

a) 50% r enantiomer and 50% s enantiomer – Optically inactive because the plane-polarized light is moved in an equal but opposing direction by both the r and s enantiomers.

b) A pair of diastereomers – Optically active because these compounds have the same molecular formula but also have non-superimposable non-mirror images.

c) A meso compound – Optically inactive as they do not have enantiomers, because the mirror image of a meso compound is itself.

d) 40% r enantiomer and 60% s enantiomer – Optically active since the s enantiomer is in excess (60 – 40 = 20%).

e) Just the r enantiomer – Optically active because of the light's plane of polarization rotating.

f) A racemic mixture – Optically inactive because each component's rotatory impact completely balances out the other.

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The unit for density found in many density tables is kg/m3. At a certain temperature, the gasoline you pump into your car’s gas tank has a density of 732.22 kg/m3. If your tank has a capacity of 12 gallons, how many grams of gasoline are in your tank when it is full? How many pounds?

You may enter answers using e-notation.

For example, 1.3 × 10-8 would be entered as 1.3E-8.

g

lbs

Answers

Answer:

5.12x10+5 lbs

2.32E+9 g

Explanation:

Density = 732.22 kg/m^3

Volume = 12 gal

Conversion Factor:  0.00378541 gal/m^3 or 264.1721769 m^3/gal

Convert 12 gallons to m^3:  (12 gal)*(264.2 m^3/gal) = 3170 m^3 in 12 gal

Determine total mass from volume:  (3170 m^3/12 gal)(732.2 kg/m^3) = 2321186 kg in 12 gal.

Conversion Factor:  1000 g/kg

Mass of gasoline:  (2321186 kg)*(1000g/kg) = 2.32E+9 g

Conversion Factor:  0.453592 kg/lb or 2.20462442 lb/kg

Yotal wieght = 231186 kg)*(2.205 lb/kg = 511734 lbs (5.12E+5 lbs)

consider the given balanced equation. n 2 3 h 2 ⟶ 2 n h 3 how many moles of ammonia are formed when 4 moles of nitrogen react? select one: 8 4 2 1

Answers

From the balanced equation, 8 moles of ammonia are formed when 4 moles of nitrogen react.

                           N₂ + 3H₂ ⇒ 2NH₃

That's the balanced equation in the question. A mole in a chemical equation is usually denoted by the coefficient of each substance. From the equation, one mole of Nitrogen reacted with three moles of hydrogen to produce 2 moles of ammonia. Using this information, we can produce a mole ratio. A mole ratio is the ratio of the number of moles of one reactant required to completely react with another reactant or the ratio of the number of moles of one product produced to another product.

The mole ratio in the above equation is

                                        1 : 3 : 2

To easily find how many moles of ammonia are formed when 4 moles of nitrogen react:

                 1 mole of Nitrogen = 2 moles of ammonia

                 4 moles of nitrogen = x moles of ammonia

Therefore, x = 4 x 2/1 = 8 moles of ammonia.

     Thus, 8 moles of ammonia are formed when 4 moles of nitrogen react.

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When performing the last step in the reaction, aluminum metal is added in excess to the solution. It reacts and dissolves. What happens to the excess aluminum metal when recovering the copper metal?.

Answers

Using the law of the conservation of mass, we can see that the aluminum metal would precipitate out of the solution as aluminum oxide.

What is the last step of the reaction?

Let us recall that the law of the conservation of mass states that mass can not be created nor destroyed but the mass can be converted from one form to another. In this case, we can see that the mass of the system would remain a constant. The mass of the system does not change this is in accordance with the law of the conservation of mass.

Hence, When performing the last step in the reaction, aluminum metal is added in excess to the solution. It reacts and dissolves, there would be a recovery of the aluminum as the oxide of the aluminum and by  doing the mass of the system would remain the same but before and after the reaction.

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how can i tell what compounds have higher ionic character?

Answers

The compound would have higher ionic character if the difference in electronegativity between the atoms is higher.

Electronegativity is a property that explains the tendency of an atom to attract more electrons from other compounds to itself which would result in bond formation. If the attraction or electronegativity is higher, it results in ionic bond between the atoms. This is called ionic character.

We can also say that the ionic character would be high if the covalent character is less in a compound.

Thus, higher electronegativity between shared electrons between atoms and less covalent character in a compound would help us identify the compounds with higher ionic character.

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WhiCh
of the following atoms has the smallest number of neutrons?
carbon-14
chlorine-25
carbon-12
carbon-13

Answers

Carbon-12 since it is the lowest, It has 6 neutrons.

How did lithium get verified as a new element? (PLS HELP!)

Answers

Answer:

The element was discovered on Earth in 1817 by Johan August Arfvedson (1792-1841) in Stockholm when he investigated petalite, one of the first lithium minerals to be discovered. (It was observed to give an intense crimson flame when sprinkled on to a fire.)

if the total energy of the two atomic orbitals is x and the energy difference between bonding and antibonding molecular orbitals is y then the energy of bonding and anti-bonding molecular orbital will be:

Answers

As ′y′ is the energy of molecular orbitals, then for bonding molecular orbital, it is [tex]\frac{y}{2} - x[/tex] and for antibonding molecular orbital, it is [tex]\frac{y}{2} + x[/tex] according to the molecular orbital theory.

Different electron affinities cause the phenomena of different molecular orbital distributions in bonds. Atoms with a high electron affinity tend to control the filled molecular orbitals because they have a strong inclination to attract electrons inward and toward their centers. The vacant molecular orbitals are often dominated by those with weak electron affinities.

According to the molecular orbital theory, a bonding and antibonding molecular orbital pair's differing energies are accompanied by the fact that the energy by which a bond is reduced is less than the energy by which a bond is increased, i.e., the stabilizing energy of each bonding interaction is smaller than the destabilizing energy of antibonding.

Therefore, if ‘y’ is the molecular orbital energy, the antibonding molecular orbital has [tex]\frac{y}{2} + x[/tex] and the bonding molecular orbital has [tex]\frac{y}{2} - x[/tex].

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in the laboratory, a quantity of i2 was reacted with excess h2 to give 0.590 moles of hi. it is also known that the percent yield of this reaction was 74.0%. how many moles of i2 reacted

Answers

Using the balanced reaction equation, we can calculate that 0.399 moles of iodine reacted.

To solve this, we need to write the balanced reaction equation first:

H₂ + I₂ → 2HI

Now we can use the actual yield and the percent yield to calculate the theoretical yield:

0.590 mol / 0.740 = 0.797 mol of HI

From the reaction equation, we can see that 1 mole of iodine produces two moles HI. Using that information, we can set up the following proportion:

1 mol of I₂ : 2 mol of HI = X : 0.797 mol of HI

X = 1 mol of I₂ * 0.797 mol of HI / 2 mol of HI

X = 0.399 mol of I₂  

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Clarify the chemical reaction, and then write a balanced formula chemical equation
NaF

Answers

The  balanced chemical equation for the formation of sodium fluoride, NaF is given below:

2 Na (s) + F₂ (g) ----> 2 NaF (s)

What kind of reaction is the formation of sodium fluoride?

The formation of sodium fluoride, NaF is an example of a synthesis reaction.

In a synthesis reaction, two or more elements or compounds react together to form a single compound.

The formation of sodium fluoride is given in the chemical equation below:

2 Na (s) + F₂ (g) ----> 2 NaF (s)

The reaction is a highly exothermic reaction. The compound formed, NaF is an ionic compound.

During the reaction, two moles of sodium atoms lose an electron each to fluorine gas atom which readily accepts the electrons to fluoride ions.

electrostatic forces of attraction between the oppositely-charges ions keep the compound in a crystal lattice form.

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ammonium carbamate, nh4co2nh2, decomposes as follows: nh4co2nh2(s) δ 2nh3(g) 1 co2(g) starting with only the solid, it is found that at 40°c the total gas pressure (nh3 and co2) is 0.363 atm. calculate the equilibrium constant kp.

Answers

The equilibrium constant is equal to 7.09 * 10⁻³ atm³.

The expression for the equilibrium constant (Kp) for this reaction will look like this:

Kp = (pNH₃)²pCO₂

pNH₃ - partial pressure of NH₃

pCO₂ - partial pressure of CO₂

Because ammonium carbamate is solid, its concentration and pressure cannot change (they are constant), so there is no need to include it in the expression. We know that all the gas present in the mixture is formed by the decomposition of ammonium carbamate. We also know that for every two moles of ammonia formed, 1 mole of carbon dioxide is also formed.

Because partial pressure is proportional to the molar ratio, we can establish  that:

pNH₃ = 2 * pCO₂

pNH₃ + pCO₂ = 0.363 atm

2 * pCO₂ + pCO₂ = 0.363 atm

3 * pCO₂ = 0.363 atm

pCO₂ = 0.363 atm / 3

pCO₂ = 0.121 atm

pNH₃ = 2 * 0.121 atm

pNH₃ = 0.242 atm

We can now plug these values into the expression for the equilibrium constant:

Kp = (0.242 atm)² * 0.121 atm = 7.09 * 10⁻³ atm³

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3. Comparing and Contrasting The compound
in blood that carries oxygen to cells throughout
the body contains iron. Iron has an atomic number
of 26. Iron-59 is used to diagnose disorders in the
blood. How is iron-59 different from all other
isotopes of iron? How is it the same?

HELPP ASAP

Answers

Its is different because Iron-59 contains 33 neutrons. We also call it the same because it has 26 protons.

Due to its 33 neutrons, iron-59 differs from other iron isotopes. Due to the fact that all isotopes have 26 protons, they are all the same.

What are Isotopes?
Isotopes two or more forms of the same element that contain equal numbers of protons but different numbers of neutrons in their nuclei, and hence differ in relative atomic mass but not in chemical properties; in particular, a radioactive form of an element.

Hence, Iron-59 is different form other isotopes of iron because it contains 33 neutrons. It is the same as other isotopes because they all contain 26 protons.

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Tungsten filament is the element found in light bulbs. Which
subatomic particles surrounding the nucleus of tungsten are responsible for the
continuous spectrum observed?

Answers

Electrons subatomic particles surrounding the nucleus of tungsten are responsible for the continuous spectrum observed.

What are 3 the subatomic particles?

These particles are commonly referred to as subatomic particles since they are the building blocks of atoms. There are protons, neutrons, and electrons, three types of subatomic particles. Protons and electrons, two of the subatomic particles, each have an electrical charge of one or the other.

How do subatomic particles function?

Two crucial functions for subatomic particles in the construction of matter. They serve as both the universe's fundamental building blocks and the glue that connects them. Although the atoms that play these various jobs belong to two separate categories, they do have some things in common, most notably size.

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What are the astronomer qualifications

Answers

Minimum qualifications of Astronomer 4 year degree to get a postgraduate qualification like a master of physics.

2 or 3 A levels, or similar, in math and physics; 5 GCSEs at grades 9 to 4 (A* to C), or equivalent; and a degree in a field that is useful for postgraduate study.

Math and physics expertise, analytical thinking abilities, science knowledge, great verbal communication skills, the capacity to take initiative, and the capacity to think coherently utilizing logic and reasoning are all desirable. To be extremely knowledgeable about computer applications and systems.

A scientist who concentrates their research on a particular issue or area outside the purview of Earth is called an astronomer in the science of astronomy. In either observational or theoretical astronomy, they observe celestial bodies like stars, planets, moons, comets, and galaxies.

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How would this model be like after being separated chemically?

Answers

A separation method known as chemical extraction depends on the difference between an element's solubility in an organic solvent and an aqueous solution.

What exactly are organic solvents?

Organic solvents are chemicals with a carbon structure that can dissolve or disperse one or more other compounds. Organic solvents have the potential to be neurotoxins, genital poisons, and carcinogens. The organic solvents benzene, carbon tetrachloride, and trichloroethylene are carcinogenic. The boiling point of organic solvents is low – Organic solvents are known to have very low boiling points.

Is oil a type of organic solvent?

Vegetable oil is analysed and weighed for use as an organic solvent for wastewater treatment in liquid membrane systems.e vegetable oil as a more sustainable organic solvent is highlighted.

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Look up the density of water (CRC Handbook 6-6). Is it necessary to use the density of water in calculations for the %error?

Answers

Answer:

The density is 33.4

Explanation:

mark as brianlest

the system absorbs 34.7 j from the surroundings in form of heat as it increases its volume to 12.80 l under an external pressure of 0.900 atm. what was the initial volume of the system if the internal energy of the system decreased by 127.5 j? (to convert between l⋅atm and j, use 1l⋅atm

Answers

The initial volume of the gas is obtained as 11.02 L.

What is the initial volume?

The work done can be obtained from the use of the formula;

W = PΔV

W = work done on the gas

P = pressure of the gas

ΔV = Change in volume

Now we can see that;

Internal energy = 127.5 J or 1.26 Latm

Heat lost = 34.7 J or 0.34 Latm

We now have;

-1.26 = 0.34 -  0.900(12.80 - V1)

-1.26 = 0.34 - 11.52 + 0.9V1

-1.26 + 11.18 = 0.9V1

V1 = -1.26 + 11.18 / 0.9

V1 = 11.02 L

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Calculate the number of atoms in 24.83g calcium phosphate.

Answers

Avogadro's Number:

Avogadro's number, which is equal to 6.02214076 x [tex]10^{23}[/tex] , is the quantity of units in one mole of any material. Hence, 1 mole of calcium phosphate,[tex]Ca_{3} (PO_{4}) _{2}[/tex]   will contain 6.02214076 x [tex]10^{23}[/tex]   atoms.

The molar mass of calcium phosphate is 310.18 g/mol,

Then, number of moles in 24.83g of calcium phosphate = [tex]\frac{mass}{molar mass}[/tex]

                                                                                              = [tex]\frac{24.83}{310.18}[/tex]

                                                                                               = 0.08 mole

Then, 0.08 mole of [tex]Ca_{3} (PO_{4}) _{2}[/tex]   will contain,

= 0.08 moles x 6.02214076 x [tex]10^{23}[/tex]   atoms

=  0.4818 x [tex]10^{23}[/tex]   atoms = 4.818 x  [tex]10^{22}[/tex] atoms.

Hence, 0.08 mole of calcium phosphate will contain 4.818 x  [tex]10^{22}[/tex] atoms.

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