Grant plans to evaporate enough water from 22 gallons of a 16 mmonia solution to make a 24 mmonia solution. Which equation can he use to find n, the number of gallons of water he should remove?

Answers

Answer 1

He can use 3.52/22-n = 24/100 equation to find n, where n is the number of gallons of water.

Calculation of amount of ammonia in 22 gallon of 16% ammonia solution.

amount of ammonia  = 16%×22 gallon = 3.53 gallon

The amount of ammonia remains the same after evaporation of water but the total amount of solution is reduced because solution contain ammonia as well as water . So, if water is evaporate then solution reduced.

Amount of water remains = 22 - n

Desired concentration, 24% = 24/100

Therefore the final equation becomes,  

3.52/22-n = 24/100

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Related Questions

Consider the balanced equation below.
N2H4 + 2H2O2 Right arrow. N2 + 4H2O
What are the mole ratios of hydrazine (N2H4) to hydrogen peroxide (H2O2) and hydrazine to water?
1:2 and 1:4
1:3 and 1:4
1:2 and 3:5
1:3 and 3:5

Answers

Answer:

Explanation:  The reaction between hydrazine and hydrogen peroxide yields nitrogen and water. The balanced chemical reaction is:

N2H4 + 2H2O2  N2 + 4H2O

which means that the mole ratio between hydrazine and hydrogen peroxide is 1:2 and the mole ratio between hydrazine and water is 1:4.

Which statement is true of the following reaction?
H₂ + O₂H+ + 0²-
O It is balanced for oxidation state and for number of atoms.
O It is not balanced for oxidation state or for number of atoms.
O It is not balanced for oxidation state but is balanced for number of atoms.
OIt is balanced for oxidation state but is not balanced for number of atoms.

Answers

Answer: the answer is not c

Explanation: I don't know the correct answer, but I took the test and I know it is not c

Answer:

b is the answer

Explanation:

bc i said so

A compound's molar mass is 240g/mol. its percentage composition is 75% carbon, 5.05% hydrogen and 19.95% oxygen, what is the molecular formula?
explanation please

Answers

The molecular formula of the compound is C15H12O3.

What is the molecular formula of the compound?

The molecular formula of the compound is determined from the mole ratio of the elements in the compound.

Carbon = 0.75 × 240/12 = 15

Hydrogen = 0.0505 × 240/1 = 12

Oxygen = 0.1995 × 240/16 = 3

Therefore, the molecular formula of the compound is C15H12O3

In conclusion, the molecular formula of the compound is determined from the mole ratio of the elements and their percentage composition.

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Consider the balanced chemical equation when 18.3 g Al is reacted with 113 g I₂ to form AlI₃(g).
What is the mass in grams of the excess Al remaining after the partial reaction of 18.3 g Al with 113 g I₂?
2 Al(s) + 3 I₂(g) → 2 AlI₃(g)

Answers

Answer:

10.3 g Al

Explanation:

To find the excess mass of Al, you need to (1) convert grams I₂ to moles I₂  (via molar mass), then (2) convert moles I₂ to moles AlI₃ (via mole-to-mole ratio from equation coefficients), then (3) convert moles AlI₃ to grams AlI₃ (via molar mass). Now that you have the actual amount of AlI₃ produced, you need to (4) convert grams AlI₃ to moles AlI₃ (via molar mass), then (5) convert moles AlI₃ to moles Al (via mole-to-mole ratio from equation coefficients), and then (6) convert moles Al to grams Al (via molar mass). Now that you know the amount of Al actually needed to produce the product, you need to (7) find the excess mass of Al.

Molar Mass (Al): 26.982 g/mol

Molar Mass (I₂): 2(126.90 g/mol)

Molar Mass (I₂): 253.8 g/mol

Molar Mass (AlI₃): 26.982 g/mol + 3(126.90 g/mol)

Molar Mass (AlI₃): 407.682 g/mol

2 Al(s) + 3 I₂(g) -------> 2 AlI₃(g)

 113 g I₂           1 mole             2 moles AlI₃          407.682 g
-------------  x  ----------------  x  ----------------------  x  -------------------  =  121 g AlI₃
                       253.8 g             3 moles I₂               1 mole

121 g AlI₃           1 mole                2 moles Al           26.982 g
---------------  x  ------------------  x  ---------------------  x  -----------------  =  8.01 g Al
                        407.682 g          2 moles AlI₃           1 mole

Starting Amount - Mass Needed = Excess

18.3 g Al - 8.01 g Al = 10.3 g Al

__________ is the use of high energy radiation to kill cancer cells.

Answers

Answer:

Radiation therapy is the use of high energy radiation to kill cancer cells.

Answer:

Radiation Therapy.

Explanation:

Also known as radiotherapy, it uses high-energy radiation to damage and/or kill cancer cells.

An experiment was conducted to determine if the intermolecular forces in two liquids affects their boiling points. Each liquid was sprayed on a paper towel. Each paper towel was wiped across a glass table to moisten the surface. The table shows a partial record of the experiment.

Answers

Given the partial record of the experiment, the information that should be recorded in the last column of the table is B. Time is taken by the glass surface to dry.

What is an intermolecular force?

These are forces of attraction between atoms, molecules, and ions when they are placed close to each other.

Intermolecular forces are electrostatic in nature, and this means that they arise from the interaction between positively and negatively charged species.

Hence, an intermolecular force acts between molecules and their examples are London dispersion forces, dipole-dipole interaction, ion-dipole interaction, and van der Waals forces.

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The complete question

An experiment was conducted to determine if the intermolecular forces in two liquids affect their boiling points. Each liquid was sprayed on a paper towel. Each paper towel was wiped across a glass table to moisten the surface. The table shows a partial record of the experiment.

Experimental Record

Liquid Intermolecular Forces ?

А relatively strong

B relatively weak

What information should be recorded in the last column of the table?

Time is taken by the liquids to start boiling

Time is taken by the glass surface to dry

The volume of liquid required to moisten the paper towels

Time taken by the paper towels to become completely moist

Calcium (Ca) and diatomic oxygen (O2) combine to form calcium oxide (CaO). The data table below compares the properties of these substances.

Calcium (Ca) Oxygen (O2) Calcium Oxide (CaO)
Melting Point (°C) 842 −218.4 2613
Density (g/cm3) 1.54 0.00143 3.34
Appearance silvery-white
metal colorless,
odorless gas white, odorless
powder

What can be concluded from this data?
A.
A chemical reaction occurred because calcium oxide has different properties than calcium and diatomic oxygen.
B.
A chemical reaction did not occur because solid calcium cannot chemically react with diatomic oxygen gas.
C.
A chemical reaction did occur because calcium oxide has similar properties to calcium and diatomic oxygen.
D.
A chemical reaction did not occur because calcium oxide is not a new substance.

Answers

A chemical reaction occurred because calcium oxide has different properties than calcium and diatomic oxygen. The correct option is A.

What are chemical reactions?

A chemical reaction is said to occur when the chemical properties of substances change during the course of the reaction.

From the illustration, the chemical properties of calcium oxide are unique from that of calcium and oxygen. Thus, calcium oxide has become a new substance entirely.

Once a reaction leads to the formation of new substances, such a reaction is a chemical reaction.

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The half-life of cesium-137 is 30 years. Suppose we have a 150 mg sample. (a) Find the mass (in mg) that remains after t years.

Answers

The half-life of cesium-137 is 30 years. Suppose we have a 150 mg sample. The masses (in mg) that remains after t years A=150/2^t/30yrs

what do you mean by half-life?

A substance's half-life is the amount of time it takes for half of it to decompose.

What is a half-life example?

Half-life is the length of time it takes for half of an unstable nucleus to go through its decay process. A radioactive element's half-life decay time varies depending on the element. For instance, carbon-10 has a half-life of only 19 seconds, making it impossible to discover in nature. On the other hand, uranium-233 has a half-life of almost 160000 years.

When n half-lives have passed, the formula for estimating the amount still left is:-

A=A°/2^n

where,

A=initial amount

A°=remaining amount

n=t/t_{1/2}

A=150/2^t/30yrs

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If the concentration of the acid is represented by the variable x, then what should you use to represent the concentration of the base so you can solve for the concentrations needed to make a 0.10 M buffer

Answers

Concentration of base in terms of x is 0.1 - x.

What is Concentration?

The amount of solute that has dissolved in a specific amount of solvent or solution is measured as solution concentration. A concentrated solution is one that has a significant amount of dissolved solute in it. A diluted solution is one that has a little amount of dissolved solute in it.

A 0.10M buffer solution mean the sum of concentration of acid and base in the buffer is 0.1M

if A is acid nd B is its conjugate base

[A] + [B] = 0.1

[B] = 0.1 - [A]

if [A] or acid concentration is x, [B] or base concentration is

[B] = 0.1 - x

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If the dissociation constant of a weak acid is 7.1 x 10-5, at what ratio should you adjust the concentration of the weak acid and its conjugate base in order to prepare a buffer that has a pH of 4.15

Answers

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- According to collision theory, what is not a factor that determines if two molecules will bind?
A. The direction the molecules are facing.
B. The speed the molecules are traveling.
C. The specific heat of the molecules.
D. What element the molecules are.

Answers

The factor which will not determines if two molecules will bind according to collision theory is the direction the molecules are facing

What is collision theory?

Collision theory is a theory which describes of predicting the rate at which chemical reactions occurs between atoms and molecules of elements.

So therefore, the factor which will not determines if two molecules will bind according to collision theory is the direction the molecules are facing

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Bonding gels and _____ are designed specifically to improve adhesion of light cured gels to the natural nail plate. glossing gels self-leveling gels gel primers building gels

Answers

Bonding gels and gel primers are designed specifically to improve adhesion of light cured gels to the natural nail plate and is therefore denoted as option C.

What is Adhesion?

This is defined as the tendency of particles or substance which have dissimilar origins to stick to one another. A common adhesive is referred to as glue, cement etc  and ensures there is enough resistance for their separation in case of the presence of any type of external force or stimuli acting on them.

Gel primer is referred to a vital used in makeup and serves as a form of foundation before they are applied on the skin of individuals so as to enable it stick and also look more presentable.

This is therefore the reason why gel primers was chosen as the most appropriate choice.

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Assume there is an equal mass of each gas at a given temperature and pressure. Arrange the following gases based on the amount of volume they occupy, from the largest to the smallest volume.

Answers

At a given temperature and pressure, the arrangement of gases based on the amount of volume they occupy, from the largest to the smallest volume is CH[tex]_{4}[/tex] < NH[tex]_{3}[/tex] < Ar < SO₂ < Cl₂ .

According to Avogadro's law, all gases with an identical volume and the same temperature and pressure have an equal number of molecules.

If the temperature and pressure are constant, the volume and amount (in moles) of an ideal gas for a given mass are directly proportional.

The volume of gas ∝ No. of moles of gas

It means that the more the no. of moles of gas, the greater will be the volume of gas.

Now, No. of moles = Given mass/ Molar mass

Given,

There is an equal mass of each gas at a given temperature and pressure.

So,

No. of moles is inversely proportional to the Molar mass of the gas.

Therefore we can conclude that the less the molar mass of gas, the more will be the no. of moles and the higher will be the volume of that gas.

The gas with the least molar mass will occupy the highest volume.

The molar mass of [tex]CH_{4}[/tex] = 16g/mol

The molar mass of [tex]NH_{3}[/tex] = 17g/mol

The molar mass of [tex]Cl_{2}[/tex] = 70g/mol

The molar mass of Ar = 40g/mol

The molar mass of [tex]SO_{2}[/tex] = 64g/mol

Arrangement of gases on basis of molar mass

Cl₂ < SO₂ < Ar < [tex]NH_{3}[/tex] < [tex]CH_{4}[/tex]

So Arrangement on basis of decreasing volume

[tex]CH_{4} < NH_{3} < Ar < SO_{2} < Cl_{2}[/tex]

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The relationship between the providers and the customer, where the providers keep the promises made to the customer, is also known as:_______.

Answers

The relationship between the providers and the customer, where the providers keep the promises made to the customer, is also known as a service-level agreement.

A service-level agreement (SLA) outlines the degree of service that a client expects from a supplier, the metrics used to measure that performance, and any penalties that may be imposed if the agreed-upon service standards are not fulfilled.

A service level agreement (SLA) is a straightforward contract between a service provider and their client (internal or external), outlining the services to be provided, the level of responsiveness to be anticipated, and the performance metrics to be used.

A Service Level Agreement (SLA) has been adopted by the Information Technology Department to direct its project management. Our SLA's objectives are. to enhance management effectiveness

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In a mass spectrometer, the ion with the highest abundance in the mass spectrum that is assigned a relative abundance of 100% is referred to as the

Answers

In a mass spectrometer, the ion with the highest abundance in the mass spectrum that is assigned a relative abundance of 100% is referred to as the base peak.

What does a mass spectrum base peak represent?

The base peak is the greatest peak in the mass spectrum that corresponds to the most prevalent ion or the strongest peak in the spectrum. It could be the parent peak or a fragment ion peak, depending on the type of molecule. Sometimes the base peak may be the molecular ion peak.

What does a spectrophotometer's base peak mean?

The base peak, which is the peak with the highest intensity in the spectrum, is given a value of 100 percent, and the intensities of the other peaks, including the molecular ion peak, are expressed as a percentage of the base peak (height x sensitivity factor). In addition to producing positive ions, bombarding a sample with electrons can also produce negative ions.

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Which type of bond is not backed by any specific collateral, such as land or equipment?
a) secured bonds
b) debenture bonds
c) equity bond
d) mortgage bonds

Answers

Answer:

A

Explanation:

looking at both equity

and mortgage bond fixtures

I would rather say secured bond fit into not being backed by any specific collateral

Consider the balanced reaction
below:

P2O3 + 3H₂O → 2H3PO3

How many grams of diphosphorus
trioxide, P2O3, are required to produce 10.2 moles of phosphorous acid, H3PO3?

I really really need help and I’m struggling with chemistry rn

Answers

Answer:

561 g P₂O₃

Explanation:

To find the mass of P₂O₃, you need to (1) convert moles H₃PO₃ to moles P₂O₃ (via mole-to-mole ratio from equation coefficients) and then (2) convert moles P₂O₃ to grams P₂O₃ (via molar mass). It is important to arrange the ratios/conversions in a way that allows for the cancellation of units. The final answer should have 3 sig figs to match the amount of sig figs in the given value.

Atomic Mass (P): 30.974 g/mol

Atomic Mass (O): 15.998 g/mol

Molar Mass (P₂O₃): 2(30.974 g/mol) + 3(15.998 g/mol)

Molar Mass (P₂O): 109.942 g/mol

1 P₂O₃ + 3 H₂O -----> 2 H₃PO₃

10.2 moles H₃PO₃            1 mole P₂O₃              109.942 g
----------------------------  x  --------------------------  x  -------------------  =  561 g P₂O
                                        2 moles H₃PO₃              1 mole

The solubility of pbso₄ in water at 25 °c is 7. 9 × 10⁻⁴ m. What is ksp for pbso₄?.

Answers

ksp = 2S²

= 2 [ 7.9* 10-⁴ moldm-³ ]²

= 124.82 * 10-⁸ mol² dm-⁶

The term Ksp denotes the solubility product. It is generally used to predict the precipitation of reactions. The  Ksp of PbSO₄ is  6.24 × 10⁻⁷.

What is solubility product?

The solubility product of a sparingly soluble salt is defined as the product of the molar concentrations of its ions in a saturated solution of it at a given temperature. By knowing the solubility product of a substance, it is possible to predict whether a substance precipitate out or not.

In short, the precipitation of an ionic substance from the solution occurs when the ionic product exceeds the value of its solubility product at that temperature.

Here PbSO₄ dissociates as:

PbSO₄ → Pb²⁺ (aq) + SO₄²⁻ (aq)

Ksp = [Pb²⁺] [SO₄²⁻ ]

= [7. 9 × 10⁻⁴] [7. 9 × 10⁻⁴]

= 6.24 × 10⁻⁷

Thus the value of Ksp is  6.24 × 10⁻⁷.

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Justify the statement, "nuclear energy is harmful as well as useful."​

Answers

Nuclear energy is harmful because it releases of harmful ionizing radiation and has been employed in the production of atomic bombs and hydrogen bombs.

Nuclear energy is beneficial in that it produces vast amount of energy for domestic and industrial purposes.

What is nuclear energy?

Nuclear energy refers to the energy which is produced as a result of the changes that occur in the nucleus of atoms of elements.

Nuclear energy produces the largest amount of energy when compared to other forms of energy sources.

Nuclear energy is produced by two types of nuclear reactions:

Nuclear fission and Nuclear fusion

Nuclear energy is harmful in that it results in the release of harmful ionizing radiation which damages cells and tissues of living organisms.

Nuclear energy is also harmful because nuclear energy has been employed in the production of atomic bombs and hydrogen bombs.

On the other hand, nuclear energy is beneficial in that it produces vast amount of energy which can be used for domestic and industrial purposes. It also produces fewer wastes that damage the environment compared to fossil fuels.

In conclusion, nuclear energy is both beneficial and harmful.

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A solid form of matter in which there is long range repeating order is called ________

Answers

Answer: A solid form of matter in which there is long-range repeating order is called crystalline.

Explanation:

A solid is crystalline if it has long-range order. Once the positions of an atom and its neighbors are known at one point, the place of each atom is known precisely throughout the crystal.

Describe any five uses of non-metals.​

Answers

HYDROGEN: USED AS ROCKET FUEL.

CHLORINE: USED TO PURIFY WATER.

GRAPHITE: USED IN PENCILS TO WRITE.

HELIUM: USED IN BALOONS TO MAKE THEM FLOAT INTO THE AIR.

PHOSPHOROUS: USED FOR IGNITION, SUCH AS FIREWORKS.

Which of these is the byproduct of fuel combustion that may result in death if such combustion equipment is not properly vented.
a. radon
b. lead
c. oxygen
d. carbon monoxide

Answers

Carbon monoxide is the byproduct of fuel combustion that may result in death if such combustion equipment is not properly vented and is denoted as option D.

What is Carbon monoxide?

This is a compound which is derived from the combustion of carbon in insufficient supply of oxygen. Carbon monoxide when inhaled replaces the oxygen content in the body which is dangerous because oxygen is needed for the survival of the cells of the body.

The carbon monoxide is usually formed when there is no properly vent thereby resulting in insufficient supply of air. This therefore results in its presence in the body results in the death of cells of the body system.

This is therefore the reason why carbon monoxide was chosen as the most appropriate choice.

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he expression below was formed by combining different gas laws.

V is proportional to StartFraction n T over P EndFraction.

Which law was used to determine the relationship between the volume and the number of moles in this equation?
Boyle’s law
Charles’s law
Avogadro’s law
Gay-Lussac’s law

Answers

C. The law that was used to determine the relationship between the volume and the number of moles is Avogadro’s law.

What is Avogadro’s law?

Avogadro's law states that equal volumes of any gas contain the same number of molecules at the same temperature and pressure.

V ∝ n

where;

V is volume of the gasn is number of moles

Thus, the law that was used to determine the relationship between the volume and the number of moles is Avogadro’s law.

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Answer: C. Avogadro’s law

Explanation:

4- The equilibrium constant for the reaction A (g) B (g) is 10. A reaction mixture initially contains [A]

Answers

The initial concentration in the reaction mixture will contain [A] = 0.1 M and [B] = 1.0 M

Below is the reaction

A(g) → B(g)

And the equilibium constant will be explained in terms of [A] and [B]:

Keq = 10 = [B]/[A]

If the first conditions are that [A] = 1.1 M and [B] = 0.0 M, the conditions at equilibrium is:

[A] = 1.1M - x

[B] = 0.0M + x

Now we rewrite Keq:

Keq = 10 = [0.0 +x] / [1.1 -x]

at the end we got it  for x:

10 = [0.0 +x] / [1.1 -x]

10 * (1.1-x) = x

11 - 10x = x

11 = 11x

x = 1

equilibrium, the concentrations are:

[A] = 1.1 M - 1 = 0.1 M

[B] = 0.0 M + 1 = 1.0 M

Thus, the concentration of A is 0.1 M and the concentration of B is 1M.

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5.690x10^3 miles to meters and give sig figs
Please help!

Answers

The equivalent of 5.690 × 10³ miles in metres is 9157167 metres. Details about metres and miles can be found below.

How to convert miles to metres?

Miles and metres are both units for measuring distance between two bodies or locations.

However, they can be converted interchangeably as follows:

1 mile = 1609.34 metres

According to this question, 5.690 × 10³ miles can be converted to metres as follows;

5.690 × 10³ × 1609.34 = 9157167 metres.

Therefore, the equivalent of 5.690 × 10³ miles in metres is 9157167 metres.

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How many moles of solute particles are present in 1 l (exact) of aqueous 0.057 m hno3?

Answers

The total number of moles of solute particles present in 1L (exact) of aqueous 0.057 m hno3 is 0.166 mol

Initial moles of HNO3 = 1Lx 0.083 mol HNO3/1 L

The HNO3 is a strong acid that can be completely dissociated in the following way.

HNO3→H  +  NO

1 mol   1 mol 1 mol

The HNO3 is dissociated into two particles (Kt and NO3). So that,

total moles particles = 0.083 mol (K) + 0.083 mol (NO) = 0.166 mol

The number of moles of solute = mass of solute ÷ molar mass of solute, where mass is measured in grams and molar mass (defined as the mass of one mole of a substance in grams) is measured in g/mol.

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Blank + 3Fe, reaction arrow, Fe3O4+4H2
How to complete this equation so that it is a Single displacement reaction

Answers

The complete reaction equation is [tex]3Fe + 4H_2O -- > Fe_3O_4 + 4H_2[/tex]

What are single displacement reactions?

They are reactions in which one of the elements in a reactant is displaced by another element in the product.

In the reaction leading to the production of [tex]Fe_3O_4[/tex], Fe displaced H atoms from [tex]H_2O[/tex].

Thus, the equation of the reaction is as follows:

[tex]3Fe + 4H_2O -- > Fe_3O_4 + 4H_2[/tex]

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Calculate the freezing point depression for 1 kilogram of sodium chloride (NaCl) in 5 kilograms of
water. The Ky of water is -1.86 °C/m.

Answers

[tex]\\ \rm\dashrightarrow \Delta T_f=ik_fm[/tex]

m is molality

Moles of NaCl

1000/2343.4mol

Molality

43.4/58.68

[tex]\\ \rm\dashrightarrow \Delta T_f=i(-1.86)(8.68)[/tex]

[tex]\\ \rm\dashrightarrow \Delta T_f=-16.14i[/tex]

i is vant Hoff factor

For NaCl vant Hoff factor is 2( Actually 1.9)

[tex]\\ \rm\dashrightarrow \Delta T_f=-16.14(2)=-32.28°C[/tex]

Moles of NaCl

[tex]\\ \tt{:}\dashrightarrow \dfrac{1000g}{23g/mol}[/tex]

[tex]\\ \tt{:}\dashrightarrow 43.4mol[/tex]

Find Molality

[tex]\boxed{\sf Molality=\dfrac{Moles\:of\:solute}{Volume \:of\: solution\:in\:kg}}[/tex]

Volume of solution=1kg+5kg=6kg

[tex]\\ \tt{:}\dashrightarrow m=\dfrac{43.4}{6}=7.2m[/tex]

Vant Hoff factor

[tex]\\ \tt{:}\dashrightarrow NaCl\longrightarrow Na^++Cl^-[/tex]

i=2

Freezing point depression

[tex]\\ \tt{:}\dashrightarrow \Delta T_f=iK_fm[/tex]

[tex]\\ \tt{:}\dashrightarrow \Delta T_f=2(-1.86)(7.2)[/tex]

[tex]\\ \tt{:}\dashrightarrow \Delta T_f=-26.7°C[/tex]

Tin and oxygen can combine to form two compounds of different combining proportions. Resulting formulas of these compounds include
a. Sn2O and SnO2 d. SnO and SnO3
b. SnO and SnO2 e. SnO2 and SnO4
c. SnO4 and SnO
???

Answers

Answer:

B.) SnO and SnO₂

Explanation:

Tin can either exist as Sn²⁺ or Sn⁴⁺ when ionized. Oxygen always exists as O²⁻ when ionized.

When ions combine, sometimes there needs to be different amounts of each ion in order to create an overall charge of 0. In one combination of the ions (Sn²⁺ and O²⁻), there only needs to be one atom of each ion. In another combination (Sn⁴⁺ and O²⁻), you need to have more anions to balance the high positive charge of the cation.

SnO
-----> Sn²⁺ and O²⁻

-----> +2 + (-2) = 0

SnO₂

-----> Sn⁴⁺ and O²⁻

-----> +4 + (-2) + (-2) = 0

How many grams of CO2 will be produced when 8.50 g of methane react with 15.9 g of O2, according to the following reaction? CH4(g) +2 O2(g) = CO2(g) +2 H2O(g)

Answers

Taking into account the reaction stoichiometry, 10.93 grams of CO₂ are formed when 8.50 g of methane react with 15.9 g of O₂.

Reaction stoichiometry

In first place, the balanced reaction is:

CH₄ + 2 O₂  → CO₂ + 2 H₂O

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

CH₄: 1 mole O₂: 2 molesCO₂:  1 moleH₂O: 2 moles

The molar mass of the compounds is:

CH₄: 16 g/moleO₂: 32 g/moleCO₂:  44 g/moleH₂O: 18 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

CH₄: 1 mole ×16 g/mole= 16 gramsO₂: 2 moles ×32 g/mole= 64 gramsCO₂:  1 mole ×44 g/mole= 44 gramsH₂O: 2 moles ×18 g/mole=36 grams

Limiting reagent

The limiting reagent is one that is consumed first in its entirety, determining the amount of product in the reaction. When the limiting reagent is finished, the chemical reaction will stop.

Limiting reagent in this case

To determine the limiting reagent, it is possible to use a simple rule of three as follows: if by stoichiometry 16 grams of CH₄ reacts with 64 grams of O₂, 8.50 grams of CH₄ reacts with how much mass of O₂?

[tex]mass of O_{2} =\frac{8.50 grams of CH_{4}x64 grams of O_{2} }{16grams of CH_{4}}[/tex]

mass of O₂= 34 grams

But 34 grams of O₂ are not available, 15.9 grams are available. Since you have less mass than you need to react with 8.50 grams of CH₄, O₂ will be the limiting reagent.

Mass of CO₂ formed

The following rule of three can be applied: if by reaction stoichiometry 64 grams of O₂ form 44 grams of CO₂, 15.9 grams of O₂ form how much mass of CO₂?

[tex]mass of CO_{2} =\frac{15.9 grams of O_{2}x44 grams of CO_{2} }{64grams of O_{2}}[/tex]

mass of CO₂= 10.93 grams

Then, 10.93 grams of CO₂ are formed when 8.50 g of methane react with 15.9 g of O₂.

Learn more about the reaction stoichiometry:

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