What does conserving mass mean in a chemical equation?

Answers

Answer 1
The law of conservation of mass states that mass or matter cannot be created or destroyed, only transferred or recombined.
For chemical equations, this law means that each element must be accounted for equally both for reactants and products. So the same numbers of each atom must match on each side, hence the necessity for balancing the chemical equation accurately. This created a field of chemistry called Stoichiometry, which accounts for the conservation of matter throughout chemical reactions and processes.
Answer 2

Conserving mass in a chemical reaction means the atoms of each type should be the same on both the reactant and the product side.

Further explanation:

Balanced chemical reaction:

The chemical reaction that contains an equal number of atoms of the different elements in the reactant as well as in the product side is known as a balanced chemical reaction. The chemical equation is required to be balanced to follow the Law of conservation of mass.

Law of conservation of mass:

According to this law, the mass of an isolated system can neither be created nor be destroyed in any chemical reaction. The mass of reactants and the products should be equal in accordance with this law. In other words, the number of atoms of each type should be same on both sides of the chemical reaction. The reactant is the substance that undergoes a change in itself in a chemical reaction whereas the product is the one that is formed as a result of the chemical reaction.

For example, the balanced chemical reaction between [tex]{{\text{P}}_{\text{4}}}[/tex] and [tex]{\text{C}}{{\text{l}}_{\text{2}}}[/tex] occurs as follows:

[tex]{{\text{P}}_4} + 10{\text{C}}{{\text{l}}_2} \to 4{\text{PC}}{{\text{l}}_5}[/tex]

Here,

[tex]{{\text{P}}_{\text{4}}}[/tex] and [tex]{\text{C}}{{\text{l}}_{\text{2}}}[/tex] are the reactants.

[tex]{\text{PC}}{{\text{l}}_5}[/tex] is the product.

In the above reaction, the number of potassium atoms on both reactant and product side is 4 while the number of chlorine atoms on both sides is 20. So Law of conservation of mass is followed.

Learn more:

1. Balanced chemical equation: https://brainly.com/question/1405182

2. Write the chemical formula of the compound: https://brainly.com/question/10585691

Answer details:

Grade: High School

Subject: Chemistry

Chapter: Basic concepts of chemistry

Keywords: balanced chemical reaction, law of conservation of mass, reactant, product, P4, Cl2, PCl5, 10 Cl2, 4 PCl5, atoms, same.


Related Questions

How many grams of nico3 will be formed when a 0.300 m nicl2 solution reacts completely with 14.3 ml of a 0.191 m na2co3 solution?

Answers

Final answer:

To calculate the grams of NiCO3 formed, the moles of Na2CO3 used are first calculated, then converted to moles of NiCO3 using the stoichiometry of the reaction, and finally, the mass of NiCO3 is found by multiplying its moles by its molar mass, resulting in 0.324 g of NiCO3.

Explanation:

To find out how many grams of NiCO3 will be formed, we first need to write the balanced chemical equation for the reaction between NiCl2 and Na2CO3.

However, the provided question does not specify the exact reaction formula; typically, such a reaction would produce NiCO3 and NaCl. Assuming a reaction of the form NiCl2 + Na2CO3 → NiCO3 + 2 NaCl, and that NiCl2 reacts completely with Na2CO3, the next step is to calculate moles of Na2CO3 since its volume and molarity are given (14.3 mL of 0.191 M).

Moles of Na2CO3 = Volume (L) * Molarity = 0.0143 L * 0.191 mol/L = 0.00273 mol. Since the reaction is in a 1:1 molar ratio, the moles of NiCO3 produced will also be 0.00273 mol. To find the mass of NiCO3 formed, multiply the moles by the molar mass of NiCO3 (approximately 118.7 g/mol).

Mass of NiCO3 = Moles * Molar mass = 0.00273 mol * 118.7 g/mol = 0.324 g (rounded to three significant figures).

What is the percent by mass of water in iron (ii) sulfate heptahydrate, feso4•7h2o (or what percent of the molar mass of feso4•7h2o is due to the waters of crystallization)?

Answers

45.360% First, lookup the atomic weights of all involved elements: Atomic mass Iron = 55.845 Atomic mass Sulfur = 32.065 Atomic mass Hydrogen =1.00794 Atomic mass oxygen = 15.999 Now calculate the molar mass of FeSO4•7H2O 55.845 + 32.065 + 11 * 15.999 + 14 * 1.00794 = 278.01016 g/mol And the mass of 7H2O 14 * 1.00794 + 7 * 15.999 = 126.10416 Now calculate what percentage of 278.01016 is 126.10416 126.10416 / 278.01016 = 0.453595509 = 45.3595509% = 45.360%
Final answer:

The percent by mass of water in iron (II) sulfate heptahydrate, FeSO4·7H2O, is 51.00%.

Explanation:

To calculate the percent by mass of water in iron (II) sulfate heptahydrate, FeSO4·7H2O, we need to determine the molar mass of the compound and the molar mass of water. The molar mass of iron (II) sulfate heptahydrate is calculated as follows:

The molar mass of Fe is 55.85 g/mol.The molar mass of S is 32.07 g/mol.The molar mass of O is 16.00 g/mol.The molar mass of H is 1.01 g/mol.The molar mass of FeSO4 is equal to (55.85 g/mol + 32.07 g/mol + (4 * 16.00 g/mol)) = 151.91 g/mol.The molar mass of FeSO4·7H2O, including the waters of crystallization, is equal to (151.91 g/mol + (7 * 18.02 g/mol)) = 247.14 g/mol.

Next, we determine the molar mass of the waters of crystallization:

The molar mass of water (H2O) is 18.02 g/mol.The molar mass of the waters of crystallization (7H2O) is equal to (7 * 18.02 g/mol) = 126.14 g/mol.

Finally, we calculate the percent by mass of water in iron (II) sulfate heptahydrate:

(126.14 g/mol / 247.14 g/mol) x 100% = 51.00%

Consider the chemical reaction: 2 cu(no3)2→ 2 cuo (s) + 4 no2 (g) + o2 (g)when 9.378 g of cu(no3)2 completely decomposed, how many liters of gas will be produced at 273 k and 1 atm? the molar mass of cu(no3)2 is 187.56 g/mol.a) 0.56
b.1.12c) 2.24
d.2.80e) 3.92

Answers

2Cu(NO3)2 ---------->    2CuO (s) +4NO2 (g) + O2(g)

9.378g=0.05moles   

no of moles = weight / MW = 9.378/187.56 = 0.05moles

as per the above reaaction 2moles of Cu(NO3)2 can produce 4moles of N2

                                                    0.05moles Cu(NO3)2 can produce (0.05*4)/2 = 0.1moles of N2

and 2moles of Cu(NO3)2 can produce 1moles of O2

       0.05moles Cu(NO3)2 can produce (0.05*1)/2 = 0.025moles of O2

Total moles of gas i.e., N2 and O2 =0.1+0.025 = 0.125moles

From PV = nRT

       V = nRT/ P = 0.125*0.0821*273 = 2.80166Lit option is correct

Final answer:

To determine the volume of gas produced, we need to calculate the moles of gas using the molar mass of Cu(NO3)2 and then use the ideal gas law equation to determine the volume. The answer is 2.24 liters of gas produced.

Explanation:

To determine the volume of gas produced, we need to first calculate the moles of gas using the molar mass of Cu(NO3)2. Then, we can use the ideal gas law equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. Solving for V, we can determine the volume of gas produced.

First, calculate the moles of Cu(NO3)2 using the given mass and molar mass:

moles of Cu(NO3)2 = mass / molar mass
moles of Cu(NO3)2 = 9.378 g / 187.56 g/mol
moles of Cu(NO3)2 = 0.050 moles

Since the stoichiometry of the reaction tells us that 2 moles of Cu(NO3)2 produces 4 moles of NO2 gas, we can determine the moles of NO2 gas produced:

moles of NO2 gas = (0.050 moles of Cu(NO3)2)(4 moles of NO2 / 2 moles of Cu(NO3)2)
moles of NO2 gas = 0.100 moles

Now we can use the ideal gas law equation to determine the volume:

V = (nRT) / P
V = (0.100 moles)(0.0821 L·atm/mol·K)(273 K) / 1 atm
V ≈ 2.24 L

Therefore, the answer is 2.24 liters of gas produced.

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The first ionization energies of the elements __________ as you go from left to right across a period of the periodic table, and __________ as you go from the bottom to the top of a group in the table.

Answers

 two elements are both Boron and Oxygen.

Which one of the following is the net ionic equation for the reaction of nitric acid with aluminum hydroxide

Answers

the ionic eqn is as follow:

1 Al(OH)3(s) + 3 H+(aq) + 3 NO3(-1) --> 1 Al(3+)(aq) + 3 NO3(-)(aq) + 3 H2O(l)

3moles of No3- ion on both sides cancels out to give the net ionic eqn:

1 Al(OH)3(s) + 3 H+(aq) --> 1 Al(3+)(aq) + 3 H2O(l)

Option (a) 3H⁺(aq) + Al(OH)₃(s) → Al³⁺(aq) + 3H₂O(l) is the net ionic equation for the reaction between nitric acid and aluminum hydroxide. This equation represents the primary species undergoing chemical change. It excludes spectator ions to show only the substances involved in the actual chemical reaction.

Among the given options, the correct net ionic equation is:

(a) 3H⁺(aq) + Al(OH)₃ (s) → Al³⁺(aq) + 3H₂O(l)

Here is the explanation:

The complete molecular equation is:3HNO₃(aq) + Al(OH)₃(s) → Al(NO₃)₃(aq) + 3H₂O(l)This equation shows that nitric acid (HNO₃) reacts with aluminum hydroxide (Al(OH)₃) to form aluminum nitrate (Al(NO₃)₃) and water (H₂O).To find the net ionic equation, we focus on the species that actually participate in the reaction, excluding spectator ions:H⁺(aq) and OH⁻(aq) ions form water:3H⁺(aq) + Al(OH)₃ (s) → Al³⁺(aq) + 3H₂O(l)

Thus, option (a) is the net ionic equation for this reaction.

Complete Question:

Which one of the following is the net ionic equation for the reaction of nitric acid with aluminum hydroxide?

(a) 3H⁺(aq) + Al(OH)₃ (s) → Al³⁺(aq) + 3H₂O(l)

(b) 3HNO₃ (aq) + Al(OH)₃ (s) → 3Al(NO₃)₃ (aq) + 3H₂O(C)

(c) 2H⁺(aq) + Al(OH)₂ (s) → Al²⁺ (aq) + 2H₂O(l)

(d) H⁺(aq) + OH⁻(aq) → H₂O(l)

(e) 3NO₃⁻(aq) + Al³⁺(aq) → Al(NO₃)₃ (aq)

Δh = -296 kj/mol (a) how much heat is evolved when 585 g sulfur is burned in excess o2

Answers

You're given Δh in terms of kJ/mol, so you need to convert mass of sulfur to moles of sulfur using its molar mass: 585 g / 32 g/mol = 18.28 mol.

Now you can find total heat using the given enthalpy of combustion:

q = Δh * n
q = -296 kJ/mol * 18.28 mol
q = -5411 kJ

The negative indicates 5411 kJ of heat were released from the system.

The periodic table includes all of the known elements in the world. how are elements arranged on the periodic table?

Answers

The elements in a periodic table are arranged in the increasing order of their atomic number. 

Answer: The periodic elements are arranged by their atomic number.

Which description identifies the correct charge of each atomic particle?

A.
electron = positive; proton = negative; neutron = no charge

B.
electron = negative; proton = positive; neutron = no charge

C.
electron = no charge; proton = negative; neutron = positive

D.
electron = negative; proton = no charge; neutron = positive

Answers

B.electron = negative; proton = positive; neutron = no charge

what is latent heat?

Answers

Hey there!! So the answer is that the heat required to convert a solid into a liquid or vapor, or a liquid into a vapor, without change of temperature. Hope this helped and have a great day!!

Answer :

Latent heat : Latent heat is defined as the amount of heat required to convert the solid into liquid or vapor and a liquid into a vapor without changing the temperature.

As there are two types of latent heat which are :

(1) Latent heat of fusion

(2) Latent heat of vaporization

Latent heat of fusion : Latent heat of fusion is defined as the amount of heat energy released or absorbed when the solid converted to liquid at atmospheric pressure at its melting point.

Latent heat of vaporization : Latent heat of vaporization is defined as the amount of heat energy released or absorbed when the liquid converted to vapor at atmospheric pressure at its boiling point.

which type of cell is a rose thorn A prokaryotic B eukaryota plant C eukaryotic animal D chloroplastic

Answers

Its B Eukatyotic Plant Cell

B is the answer, hope this helps :D

An atom of nickel has a mass number of 58. how many neutrons are in its nucleus?

Answers

nickel has an atomic number of 28
so the number of neutrons = mass number - atomic number = 58 -28 = 30

What is the molality of a solution containing 4.0 moles of solute in 3.2 kg of solvent? Round to the nearest tenth. Don't forget the units.

Answers

Molality is the moles of solute per Kg of solvent. Simply:
m=moles solute/Kg solvent

m=(4.0 moles solute/3.2 Kg solvent)
m=1.25

m=1.3 mol/Kg or 1.3 molal   [rounded to nearest tenth]


(FYI - molarity is found by moles of solute divided by liters of solution)

Answer:

1.3 mol/kg is the molality of a solution.

Explanation:

[tex]Molality=\frac{\text{moles of solute}}{\text{Mass of the solvent (kg)}}[/tex]

Moles of solute = 4.0 moles

Mass of the solvent = 3.2 kg

[tex]Molality=\frac{4.0 mol}{3.2 kg}=1.25 mol/kg\approx 1.3 mol/kg[/tex]

1.3 mol/kg is the molality of a solution containing 4.0 moles of solute in 3.2 kg of solvent.

True Or FALSE EASY 15 POINTS Pure substances are made up of single elements or compounds.

True
False

Answers

It is true. If a substance is at its purest form, it should be a single element. 

Answer: The given statement is true.

Explanation:

A pure substance is defined as the substance which is formed by same or different type of atoms which are chemically combined in a fixed ratio by mass.

Compounds and elements are considered as pure substances.

For Example:  Sodium and sodium chloride are both considered as pure substances because sodium is entirely made up of sodium atoms and sodium chloride is entirely made up of sodium chloride molecules.

Hence, the given statement is true.

Compounds that have the same chemical formula but a different arrangement of atoms are called

Answers

Compounds that have the same chemical formula but different arrangement of atoms are called ISOMERS. Isomer have the same molecular formula but different structural arrangements. There are different types of isomers: stereoisomers, constitutional isomers and enatiomers. 

How many kilocalories are released by the combustion of 18.5 g of c8h18 ?

Answers

Final answer:

Without the exact heat of combustion per gram of octane (C8H18), it is impossible to calculate the specific number of kilocalories released by the combustion of 18.5 g of octane. The process would involve multiplying the heat of combustion per gram by the amount of substance burned and converting the energy from kilojoules to kilocalories if necessary.

Explanation:

The student is asking about the enthalpy change associated with the combustion of octane (C8H18). To answer this, we first need the heat of combustion per gram or per mole of octane, which can be found in a given table or chemistry reference. However, since this value is not provided in the information given, we can't calculate the specific number of kilocalories released without it.

To find the heat released by combustion, once the heat of combustion per gram is known, you would multiply this value by the mass of the substance burned (in this case, 18.5 g of octane). Remember to convert kilojoules to kilocalories if necessary, as there are 0.239006 kilocalories in one kilojoule.

For example, if we knew that the combustion of 1 gram of octane released X kJ, then the heat released by burning 18.5 grams would be 18.5 * X kJ, which could then be converted to kilocalories.

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tooth fillings are often made of gold or porcelain because those materials are not what?

Answers

Tooth fillings are often made of gold or porcelain because these materials are
 nonreactive means that they don't corrode or rust and they are resistible to staining
Their  thermal conductibility is low

chemically similar to teeth
they do not rust or corrode and they don't have led in them. Porcelain and gold are also used because they have a high stain resistance.

What is the total number of completely filled sublevels found in the atom of krypton in the ground state?

Answers

Final answer:

Krypton in the ground state has a total of 4 completely filled sublevels, which are 1s, 2s, 2p, and 3s.

Explanation:

In the ground state, krypton has a total of 4 completely filled sublevels. The electron configuration for krypton is: 1s²2s²2p⁶3s²3p⁶3d¹4s²4p⁶. The completely filled sublevels are 1s, 2s, 2p, and 3s.

200 ml of a 0.500 m ca(no3)2 solution was made, but only 150 ml of solution are needed. if you pour out 50 ml of the soultion, what is the concentration, in m, of the 150 ml of solution you have left.

Answers

Wouldn't it be 100? 150 - 50 would equal 100. Unless I'm not seeing something.

what are the inferred pressure and temperature at the boundary of earths stiffer mantle and outer core

Answers

Final answer:

The inferred pressure and temperature at the boundary of Earth's stiffer mantle and outer core are very high, reaching up to several million atmospheres and exceeding 5000 degrees Celsius, respectively.

Explanation:

At the boundary between Earth's stiffer mantle and outer core, the pressure and temperature are very high due to the immense weight and heat of the overlying material. The pressure can reach up to several million atmospheres, while the temperature can exceed 5000 degrees Celsius. These extreme conditions are necessary to maintain the liquid state of the outer core and the solid state of the inner core.These extreme conditions are necessary to maintain the liquid state of the outer core and the solid state of the inner core.These extreme conditions are necessary to maintain the liquid state of the outer core and the solid state of the inner core.

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The intrinsic solubility of sulfathiazole, an old antimicrobial, is 0.002 mol/l. it is a weak acid and its pka is 7.12. what is the ph of the saturated solution of sulfathiazole in pure water?

Answers

The formula we will use is:

pH = 0.5 (pKa – log C)

where C is the concentration of sulfathiazole in molarity or mol / L

Since all values are given, we can compute directly for pH:

 

pH = 0.5 (7.12 – log 0.002)

pH = 4.91

A total of 2.00 mol of a compound is allowed to react with water in a foam coffee cup and the reaction produces 189 g of solution. the reaction caused the temperature of the solution to rise from 21.00 to 24.70 ∘c. what is the enthalpy of this reaction? assume that no heat is lost to the surroundings or to the coffee cup itself and that the specific heat of the solution is the same as that of pure water.

Answers

In order to determine the enthalpy change of the reaction, we first calculate the amount of energy that was liberated by the reaction. This is given by:

Q = mcΔT

For water, the specific heat capacity of water (c) is 4.184 Joules per gram

Q = 189 * 4.184 * (24.7 - 21)
Q = 2925.87 Joules

The enthalpy of a reaction is the energy change per mole of reactants, so the enthalpy change is:
2,925.87 / 2 = 1462.935

The enthalpy change of the reaction is -1462.94 Joules per mole.

Aqueous sodium hydroxide was mixed with aqueous zinc(ii) nitrate, and a crystallized zinc(ii) hydroxide product was formed. consider the other product and its phase, and then write the balanced molecular equation for this precipitation reaction

Answers

Ans : The other product is Sodium Nitrate ( Aqueous ). Molecular formula is 2NaNo3 The balance molecular equation is : 2NaOH (aq) + Zn(NO3)2 (aq) --> Zn(OH)2 (s) + 2NaNO3 (aq)

Final answer:

When aqueous sodium hydroxide is mixed with aqueous zinc(II) nitrate, crystallized zinc(II) hydroxide and aqueous sodium nitrate are formed. The balanced molecular equation for this precipitation reaction is Zn(NO₃)₂( aq) + 2NaOH(aq) → Zn(OH)₂(s) + 2NaNO₃(aq).

Explanation:

The question is about the chemical reaction where aqueous sodium hydroxide is mixed with aqueous zinc(II) nitrate, resulting in the formation of crystallized zinc(II) hydroxide as a precipitate. To find the other product of this precipitation reaction, we first write down the reactants and their formulas, which are NaOH(aq) for sodium hydroxide and (Zn(NO₃)₂(aq) for zinc nitrate. The reaction leads to the formation of zinc hydroxide, Zn(OH)₂, and sodium nitrate, NaNO₃, as products.

Writing the balanced molecular equation for this reaction:

\(Zn(NO₃)₂(aq) + 2NaOH(aq) \rightarrow Zn(OH)₂(s) + 2NaNO3(aq)\).

This equation shows the reactants on the left side and the products, including the solid zinc(II) hydroxide precipitate and aqueous sodium nitrate, on the right side. Note that it's crucial to balance the chemical equation to ensure the conservation of mass.

Which option is an example of a physical property?
Flammability
pH
toxicity
freezing point

Answers

Freezing point. because toxicity is a chemical property as well as pH  and flammability is dependent on the items chemical composition  

Answer: freezing point

Explanation:

Chemical property is defined as the property of a substance which is observed during a reaction where the chemical composition identity of the substance gets changed.

Physical property is defined as the property which can be measured and whose value describes the state of physical system. For Example: State, density etc.

Flammability is a chemical property as it alters the chemical composition of substance.

pH is a chemical property as it alters the chemical composition of substance.

Toxicity is a chemical property as it alters the chemical composition of substance.

Freezing point is a physical property as it deals only with phase changes.

The outermost layer of Earth is called the mantle. Please select the best answer from the choices provided T F

Answers

I think it would be false
The answer is false.

Which elements make up the compound that helps give carbonated beverages their "fizz"?

Answers

that's carbon and oxygen
the fizz comes from the escape of CO2 gas

What is the entropy change of the system when 17.5 g of liquid benzene (c6h6) evaporates at the normal boiling point? the normal boiling point of benzene is 80.1°c and δhvap is 30.7 kj/mol?

Answers

Answer : The entropy change of the system is, 19.5 J/K

Solution :

Formula used :

[tex]\Delta S=\frac{n\times \Delta H_{vap}}{T_b}[/tex]

or,

[tex]\Delta S=\frac{\frac{w}{M}\times \Delta H_{vap}}{T_b}[/tex]

where,

[tex]\Delta S[/tex] = entropy change of the system = ?

[tex]\Delta H[/tex] = enthalpy of vaporization = 30.7 kJ/mole

n = number of moles of benzene

w = mass of benzene = 17.5 g

M = molar mass of benzene = 78 g/mole

[tex]T_b[/tex] = normal boiling point of benzene = [tex]80.1^oC=273+80.1=353.1K[/tex]

Now put all the given values in the above formula, we get the entropy change of the system.

[tex]\Delta S=\frac{\frac{17.5g}{78g/mole}\times (30.7KJ/mole)}{353.1K}=0.0195kJ/K=0.0195\times 1000=19.5J/K[/tex]

Therefore, the entropy change of the system is, 19.5 J/K

How many moles of aluminum exist in 100.0 g of aluminum?

Answers

1 mole of aluminum ≈27g
so 1g |Al = 1/27 mole
100g |Al = 100/27 mole = 3.7mole | Al

There are 3.7 moles in 100.0 g of aluminum

HOW TO CALCULATE NUMBER OF MOLES:

The number of moles contained in a substance can be calculated by dividing the mass of that substance by its molar mass. That is;

no. of moles = mass ÷ molar mass

Molar mass of Aluminum = 27g/mol

no. of moles = 100g ÷ 27g/mol

no of moles = 3.703mol

Therefore, there are 3.7 moles in 100.0 g of aluminum.

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How is the number of neutrons in the nucleus of an atom calculated (1 point)?

Answers

it is found by deducing the difference between the mass number of the atom and the atomic number ( number of protons) in the atom

List three of Rutherford’s major achievements that helped earn him the title “Father of Nuclear Physics.”

Answers

discovered the nucleus
proposed the proton existence
discovered fusion reaction from fission

Problem page write a balanced half-reaction for the reduction of gaseous nitrogen n2 to aqueous hydrazine n2h4 in acidic aqueous solution. be sure to add physical state symbols where appropriate.

Answers

Answer:Balanced half-reaction for the reduction of gaseous nitrogen to aqueous hydrazine is :

[tex]N_2(g)+4H^+(aq)+4e^-\rightarrow N_2H_4(aq)[/tex]

Explanation:

Half reaction will be written as:

[tex]N_2(g)\rightarrow N_2H_4(g)[/tex]

Balance the atoms in half reaction other than oxygen and hydrogen.

In acidic medium the hydrogen atom is balanced by adding [tex]H^+[/tex] ions.

[tex]N_2(g)+4H^+(aq)\rightarrow N_2H_4(aq)[/tex]

Now balance the charge on both the sides by adding electrons on that side where positive charge is greater.

[tex]N_2(g)+4H^+(aq)+4e^-\rightarrow N_2H_4(aq)[/tex]

Balanced half-reaction for the reduction of gaseous nitrogen to aqueous hydrazine is :

[tex]N_2(g)+4H^+(aq)+4e^-\rightarrow N_2H_4(aq)[/tex]

Final answer:

The balanced half-reaction for the reduction of gaseous nitrogen (N2) to aqueous hydrazine (N2H4) in an acidic solution is N2(g) + 4 H+(aq) + 4 e- → N2H4(aq). This reaction demonstrates the balance of both the number of atoms and the overall charge in a redox process.

Explanation:

To balance the half-reaction for the reduction of gaseous nitrogen (N₂) to aqueous hydrazine (N₂H₄) in an acidic aqueous solution, we need to ensure that the number of nitrogen atoms and the overall charge is balanced on both sides of the reaction. The initial, unbalanced half-reaction is:

N₂(g) + H₂(g) → N₂H₄(aq)

First, we balance the nitrogen atoms by noting that there are still two nitrogen atoms present on both sides of the equation, so no change is needed here.

Then, to balance hydrogen atoms, we add 4 H⁺ ions to the right side:

N₂(g) + H⁺(aq) → N₂H₄(aq)

To balance the charge, we need to add electrons to the side with a positive charge. Since we have added four protons (4 H⁺ ions) on the right side, we must balance the charge by adding 4 electrons to the left side:

N₂(g) + 4 H⁺(aq) + 4 e⁻ → N₂H₄(aq)

All atoms and the charge are now balanced, making this the correct reduced half-reaction for the reduction of nitrogen to hydrazine in acidic solution.

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