The pressure exerted by a phonograph needle on a record is surprisingly large. If the equivalent of 1.00 g is supported by a needle, the tip of which is a circle 0.200 mm in radius, what pressure is exerted on the record in kPa

Answers

Answer 1

Answer:

Pressure exerted by the needle = 78.037 kPa

Explanation:

Pressure is defined as the force exerted on a surface per unit area. The SI unit of pressure is Pa (N.m⁻²).

The force exerted by the phonograph needle is equal to the gravitational force.

Thus,

F=m×g

Where,

F is the force

m is the mass of the body

g is the acceleration due to gravity

Also, g = 9.81 ms⁻²

Given, mass of the needle = 1.00 g

The conversion of g into kg is shown below:

1 g = 10⁻³ kg

Thus, mass of the needle = 1×10⁻³ kg

Thus, F= 1×10⁻³×9.81 N = 9.81×10⁻³ N

Ares of the circle = πr²

Given : Radius of tip of the needle = 0.200 mm

The conversion of mm into m is shown below:

1 mm = 10⁻³ m

Thus, mass of the needle = 0.2×10⁻³ m

Thus, Area of the tip of the needle = π×(0.2×10⁻³)² m² = 1.2571×10⁻⁷ m²

So, Pressure =F/A

P = (9.81×10⁻³)/1.2571×10⁻⁷ Pa = 7.8037×10⁴ Pa

The conversion of Pa into kPa is shown below:

1 Pa = 10⁻³ kPa

Thus, pressure exerted by the needle = 7.8037×10⁴×10⁻³ kPa = 78.037 kPa


Related Questions

For all gas law calculations, the temperature must be in kelvins. (T/F)

Answers

Answer:

True

Explanation:

For, all the gas law calculations, Temperature must be used in Kelvins. This statement is true.

The reason is:

Ideal gas equation is made up of gas laws like P/T (Amonton's Law), V/T (Charle's Law) and combined gas laws like PV/T ( Boyle's Laws, Amonton's Law and Charle's Law).

Charle's Law and Amonton's Law are only valid when temperature values are put in Kelvin and only then V/T or P/T will be constant.

Also,  in all the cases, Temperature occurs in the denominator. If we measure temperature values in Celcius, then it will lead to wrong calculations. Also, if we put [tex]0^0C[/tex] in the equation, then the equation will have zero in the denominator which will solve as no solution.

But, If we will put 0K in the equation, then it will achieve absolute state where all the things stop and there will be zero entropy (Third law of thermodynamics). In that case, we dont have to think about any of the parameters to be calculated.

Calculate the vapor pressure of a solution containing 24.6 g of glycerin (C3H8O3) in 134 mL of water at 30.0 ∘C. The vapor pressure of pure water at this temperature is 31.8 torr. Assume that glycerin is not volatile and dissolves molecularly (i.e., it is not ionic) and use a density of 1.00 g/mL for the water.

Answers

Answer : The vapor pressure of a solution is, 30.687 torr

Explanation :

First we have to calculate the moles of glycerin.

[tex]\text{Moles of }C_3H_8O_3=\frac{\text{Mass of }C_3H_8O_3}{\text{Molar mass of }C_3H_8O_3}=\frac{24.6g}{92.09g/mole}=0.267moles[/tex]

Now we have to calculate the mass of water.

[tex]\text{Mass of }H_2O=\text{Density of }H_2O\times \text{Volume of }H_2O[/tex]

[tex]\text{Mass of }H_2O=(1.00g/ml)\times (134ml)=134g[/tex]

Now we have to calculate the moles of water.

[tex]\text{Moles of }H_2O=\frac{\text{Mass of }H_2O}{\text{Molar mass of }H_2O}=\frac{134g}{18g/mole}=7.444moles[/tex]

Now we have to calculate the mole fraction of water.

[tex]\text{Mole fraction of water}=\frac{\text{Moles of water}}{\text{Moles of water}+\text{Moles of glycerin}}[/tex]

[tex]\text{Mole fraction of water}=\frac{7.444mole}{7.444mole+0.267mole}=0.965[/tex]

Now we have to calculate the vapor pressure of the solution.

According to the Raoult's law,

[tex]p_A=X_A\times p^o_A[/tex]

where,

[tex]p_A[/tex] = vapor pressure of solution = ?

[tex]p^o_A[/tex] = vapor pressure of pure water= 31.8 torr

[tex]X_A[/tex] = mole fraction of water = 0.965

Now put all the given values in this formula, we get the vapor pressure of solution.

[tex]p_A=0.965\times 31.8\text{ torr}[/tex]

[tex]p_A=30.687\text{ torr}[/tex]

Therefore, the vapor pressure of a solution is, 30.687 torr

Considering the Raoult's Law, the vapor pressure of a solution that containing 24.6 g of glycerin in 134 mL of water at 30.0 ∘C is 30.687 torr.

Raoult's Law

Raoult's Law is a gas law that relates the vapor pressure and mole fraction of each gas in a solution (solution).

If a solute has a measurable vapor pressure, the vapor pressure of its solution is always less than that of the pure solvent. Thus, the relationship between the vapor pressure of the solution and the vapor pressure of the solvent depends on the concentration of the solute in the solution.

Raoult's law allows us to calculate the vapor pressure of a substance when it is part of an ideal solution, knowing its vapor pressure when it is pure (at the same temperature) and the composition of the ideal solution in terms of molar fraction.

Then, this law establishes as a conclusion that: “In an ideal solution, the partial pressures of each component in the vapor are directly proportional to their respective mole fractions in the solution”.

Mathematically, Raoult's law states that the partial pressure of a solvent above a solution P₁ is given by the vapor pressure of the pure solvent P₁⁰ multiplied by the mole fraction of the solvent in the solution X₁:

P₁= P₁⁰ × X₁

Vapor pressure in this case

The mole fraction is defined as the ratio of moles of solute to total moles of solution.

So, the moles of glycerin (solute) is calculated as follow:

[tex]moles of glycerin=\frac{mass of glycerin}{molar mass of glycerin}=\frac{24.6 g}{92.09 \frac{g}{mole} } =[/tex] 0.267 moles

Being the density the measure of the amount of mass in a certain volume of a substance, the mass of water (solvent) in the solution is calculated as:

mass of water= volume of water× density of water

mass of water= 134 mL× 1 [tex]\frac{g}{mL}[/tex]= 134 g

So, the moles of water (solvent) is calculated as follow:

[tex]moles of water=\frac{mass of water}{molar mass of water}=\frac{134 g}{18 \frac{g}{mole} } =[/tex] 7.44 moles

Then, the mole  fraction of water can be calculated as:

[tex]Mole fraction of water=\frac{moles of water}{moles of glycerin + moles of water}[/tex]

[tex]Mole fraction of water=\frac{7.44 moles}{0.267 moles + 7.44 moles}[/tex]

Solving:

mole fraction of water= 0.965

Then, you know that:

[tex]P_{water} =[/tex] ?[tex]P_{water} ^{0}=[/tex] 31.8 torr[tex]x_{water}=[/tex] 0.965

Replacing in Raoult's Law:

[tex]P_{water} =[/tex] 31.8 torr × 0965

Solving:

[tex]P_{water} =[/tex] 30.687 torr

In summary, the vapor pressure of a solution that containing 24.6 g of glycerin in 134 mL of water at 30.0 ∘C is 30.687 torr.

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In a hydrogen-oxygen fuel cell, A) no transfer of electrons occurs.B) both oxygen and hydrogen atoms lose electrons.C) both oxygen and hydrogen atoms gain electrons.D) oxygen atoms lose electrons and hydrogen atoms gain electrons.E) oxygen atoms gain electrons and hydrogen atoms lose electron

Answers

Answer:

oxygen atoms gain electrons and hydrogen atoms lose electron

Explanation:

Hydrogen oxygen fuel cell involves redox reactions.

It is an electrochemical cell, which is used for many applications like rocket propellant.

The actual reaction is

[tex]H_{2}+\frac{1}{2}O_{2}--->H_{2}O[/tex]

Here hydrogen undergoes oxidation as it loses electrons

Oxygen undergoes reduction as it gains electrons.

The redox reactions are

At anode:

[tex]H_{2}--->2H^{+}+2e[/tex] [loss of electrons by hydrogen]

At cathode:

[tex]O_{2}+4H^{+}+4e--->2H_{2}O[/tex] [gain of electrons by oxygen]

Carbonyl fluoride, COF2, is an important intermediate used in the production of fluorine-containing compounds. For instance, it is used to make the refrigerant carbon tetrafluoride, CF4 via the reaction 2COF2(g)⇌CO2(g)+CF4(g), Kc=4.20 If only COF2 is present initially at a concentration of 2.00 M, what concentration of COF2 remains at equilibrium?

Answers

Answer: The concentration of [tex]COF_2[/tex] remains at equilibrium is 0.40 M.

Explanation:-

Initial concentration of [tex]COF_2[/tex] = 2 M

The given balanced equilibrium reaction is,

                       [tex]2COF_2(g)\rightleftharpoons CO_2(g)+CF_4(g[/tex]

Initial conc.                      2 M             0             0            

At eqm. conc.           (2-2x) M            x M        x M

The expression for equilibrium constant for this reaction will be,

[tex]K_c=\frac{[CO_2]\times [CF_4]}{[COF_2]^2}[/tex]

Now put all the given values in this expression, we get :

[tex]4.20=\frac{(x)\times (x)}{(2-2x)^2}[/tex]

By solving the term 'x', we get :

x =  0.80 M

Thus, the concentrations of [tex]COF_2[/tex] at equilibrium is : (2-2x) = 2-2(0.80)=0.40 M

The concentration of [tex]COF_2[/tex] remains at equilibrium is 0.40 M.

How many ATP are produced from a fatty acid that is 14 carbons long?

Answers

Answer:

92 ATP

Explanation:

Fatty acid oxidation results in the formation of large number of ATP molecules. Three important process of fatty acid are activation of the fatty acid, beta oxidation and entry of acetyl CoA in Krebs cycle.

14 carbon fatty acid is Miristic acid. The complete oxidation of Miristic acid results in the formation of 7 acetyl CoA + 6NADH and [tex]6FADH_2[/tex]

1 Acetyl CoA gives 10 molecules of ATP then 7 acetyl CoA gives 70 molecules of ATP.

1NADH = 2.5 ATP, 6NADH = 15 ATP.

[tex]1FADH_2[/tex] = 1.5 ATP, [tex]6FADH_2[/tex] = 9 ATP.

2 ATP has been consumed in the activation of fatty acid.

Total ATP = 70+15+9-2

=92 ATP.

Thus, the total ATP generated from the oxidation of 14 carbon fatty acid is 92.

How many grams of Br are required to react completely with 29.5 g of NO? 2NO+Br2- 2NOBr

Answers

Answer: 78.54 grams

Explanation:

According to avogadro's law, 1 mole of every substance weighs equal to its molecular mass and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.

To calculate the number of moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

[tex]\text{Number of molesof} NO=\frac{29.5g}{30.01g/mol}=0.98moles[/tex]

[tex]2NO+Br_2\rightarrow 2NOBr[/tex]

According to stoichiometry :

2 moles of [tex]NO[/tex] react with 1 mole of [tex]Br_2[/tex]

0.98 moles of [tex]NO[/tex] react with =[tex]\frac{1}{2}\times 0.98=0.49[/tex] moles of [tex]Br_2[/tex]

Mass of [tex]Br_2=moles\times {\text{Molar mass}=0.49\times 159.8=78.54g[/tex]

Thus 78.54 g of [tex]Br_2[/tex] are required to react completely with 29.5 g of NO.

3-methyl-1-hexene is reacted with HCl. Select ALL statements below that are true for this reaction. a) Reaction is stereoselective b) Reaction involves carbocation intermediate c) A 1,2-shift is expected in reaction mechanism d) Reaction is regioselective

Answers

Answer:The options b, c and d are True.

Explanation:

The above reaction is an example of electrophilic addition to alkenes and is  a typical reaction known as Markownikoffs addition reaction.

In the above reaction we are using Hydrogen chloride as an acid and as HCl is  a strong acid so it will provide acidic protons.

The acidic protons (H⁺) acts as electrophile and the the pi-bond in 3-methyl-1-hexene has sufficient electron density to attack the electrophilic protons. As a result of the attack hydrogen is added on one of the carbon atoms across the pi bond and a generation of carbocation takes place.

Once the carboation is formed then it rearranges into a more stable carbocation if it can and hence a stable carbocation is generated. The chloride anion can attack this stable carbocation leading to a regio-selective product.

The carbocation formed is the reaction intermediate in this case.

The statement (a) is incorrect as the above reaction involves carbocation as intermediate  and as carbocation is a planar molecule so there are two faces available for the chloride ion to attack  hence a racemic product would be formed resulting from the attack on both the sides. So the re action is not stereoselective  as not a specific isomer is formed.

The statement (b) is correct as the intermediate formed in the reaction is a carbocation.

The statement (c) is correct as carbocation is formed and we know that carbocations undergo rearrangements to form more stable carbocations so 1,2 shifts can occur in the reaction. As 1,2 shift is a way through rearrangements can occur in carbocation.

The statement (d) is correct as the reaction would lead to formation of  a stable carbocation and hence the chloride ion will only attack the stable carbocation so the reaction would be regioselective in nature.

which type of heat exchanger shell and tube or plate heat exchanger is suitable for evaporation?

Answers

Answer:

shell and tube type heat exchanger

Explanation:

for evaporation the shell and tube type heat exchanger is best suited.

in the plate heat exchanger there is gaskets in between every part so this part become weak part in heat echanger and there is possibilities of leakage through this part, there is no such problem in shell and tube type.the plate type cant be used when there is high temperature and high pressure drop but shell and tube type can be usedin evaporation there the liquids change into vapors due to which there is sudden change in pressure and in which plate type is not used because there is chances of leakage

The suitable type of heat exchanger for evaporation is the shell and tube heat exchanger.

Evaporation processes typically involve the boiling of a liquid to produce vapor, which requires a heat exchanger that can handle phase change and the associated volume changes. Shell and tube heat exchangers are well-suited for this application due to their ability to withstand high pressures and temperatures, as well as their design flexibility to accommodate the two-phase flow of vapor and liquid.

In a shell and tube heat exchanger, the tubes can be designed to allow for the expansion of vapor and the efficient separation of the vapor phase from the liquid phase. The tubes also provide a large surface area for heat transfer, which is necessary for the evaporation process. Additionally, shell and tube heat exchangers can be designed with multiple passes to increase the time of contact between the heating or cooling medium and the product, thereby improving the efficiency of the evaporation process.

On the other hand, plate heat exchangers are generally not suitable for evaporation processes that involve boiling and phase change. This is because the plates in a plate heat exchanger are not designed to handle the high pressure differentials and volume changes associated with the production of vapor. Plate heat exchangers are more suitable for applications involving low to medium pressure and temperature, and where the fluids remain in a single phase.

In summary, for processes involving evaporation, the robust design and flexibility of the shell and tube heat exchanger make it the more suitable choice compared to the plate heat exchanger."

The elimination of 5−bromononane on treatment with potassium ethoxide is stereoselective. Select the correct Newman projections of 5−bromononane showing the conformations that lead to cis−4−nonene and trans−4−nonene, respectively. Identify the proton that is lost in each case by selecting the Newman projections that have this hydrogen colored blue. Suggest a mechanistic explanation for the observed stereoselectivity. Leads to cis−4−nonene:

Answers

hey There!:

Compound B is the structure that leads to Cis-nonene as major product because in this case the Leaving group i.e Br and the electrophile i.e  H is not anti-periplanar to each other .

Hope this helps!

A flexible container at an initial volume of 6.13 L contains 8.51 mol of gas. More gas is then added to the container until it reaches a final volume of 18.5 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

Answers

Explanation:

According to Avogadro's law, equal volumes of all the gases at same temperature and pressure will also, have same number of molecules.

That is,             [tex]V \propto n[/tex]

or                      [tex]\frac{V}{n}[/tex] = k

Since, it is given that [tex]V_{1}[/tex] is 6.13 L, [tex]n_{1}[/tex] is 8.51 mol, and [tex]V_{2}[/tex] is 18.5 L.

Hence, calculate the [tex]n_{2}[/tex] as follows.

                        [tex]\frac{V_{1}}{n_{1}} = \frac{V_{2}}{n_{2}}[/tex]

                        [tex]\frac{6.13 L}{8.51 mol} = \frac{18.5 L}{n_{2}}[/tex]  

                           [tex]{n_{2}}[/tex] = 0.35 mol

Thus, we can conclude that the number of moles of gas added to the container is 0.35 mol.

Final answer:

To calculate the moles of gas added, we use the ratio of the initial and final volumes to determine the final moles, and then subtract the initial moles to find that 17.16 mol of gas were added to the container.

Explanation:

The subject of this question is Chemistry, specifically it is dealing with gas laws and the concept of molar volume at constant pressure and temperature (ideal gas law).

To find the number of moles of gas added to the container, we will apply the ideal gas law in its simplest form, which is Boyle's Law (P1V1 = P2V2), assuming constant temperature and pressure. Since P and T are constant, the relationship between volume and moles is direct according to Avogadro's Law. This means we can simply use the ratio of the initial and final volumes to find the moles added:

Initial moles (n1) = 8.51 mol

Initial volume (V1) = 6.13 L

Final volume (V2) = 18.5 L

Since the volumes are proportional to moles at constant temperature and pressure, we have:

V1 / n1 = V2 / n2

Using a simple cross-multiplication:

n2 = (V2 / V1) × n1

n2 = (18.5 L / 6.13 L) × 8.51 mol

n2 = 3.016 × 8.51 mol

n2 = 25.67 mol

The total moles in the container after addition of gas is 25.67 mol. To get the moles of gas added, we subtract the initial moles from the total moles:

Moles of gas added = 25.67 mol - 8.51 mol

Moles of gas added = 17.16 mol

An exothermic reaction has a positive enthalpy (heat) of reaction.(T/F)

Answers

Answer:

True.

Explanation:

An exothermic reaction has a positive enthalpy (heat) of reaction. However, it can be negative in some circumstances.

Consider the reaction of 2-methyl-1,3-cyclohexadiene with HCl. Assuming that the reaction takes place at a very low temperature: (a) draw the intermediate and product structures, including any formal charges

Answers

Answer:.The product formed in this reaction would be a kinetic product formed from 1,2-addition.

Kindly refer attachments for mechanism and structures of product.

Explanation:

In organic chemistry once the intermediate is generated the reaction can go in two ways. In one way product formed would be rate dependent and would be known as kinetic product and in the other way product formed would be stable and would be know as thermodynamic product.

A kinetic product is formed faster but it is generally not that stable as a thermodynamic product so a kinetic product is formed at lower temperatures where the molecular energy is very less.

A thermodynamic product  formation takes time to form and the reaction is carried out at higher temperatures where the molecules have energy. The thermodynamic product is relatively  stable.

In this case since we are doing our reaction at very low temperature so the major product formed in the reaction would be under kinetic control and hence product formed would be rate dependent.

The reaction of 2-methyl-1,3-cyclohexadiene  with HCl would be a electrophilic addition reaction in which the pi bond would attack HCl to generate a carbocation  intermediate. After the formation of carbocation chloride anion can attack the carbocation and can form the product.

Once the carbocation is formed it can be stabilised by rearrangement or other stabilizing mechanisms.

In this case initially 1-methylcyclohex-2-en-1-ylium carbocation is generated which is at tertiary center as well as allylic position. This carbocation formed initially can stabilize itself through resonance as the charge can be delocalised  with the allyl group.

The reaction can happen in two ways :

In the first way the initially formed 1-methylcyclohex-2-en-1-ylium carbocation is been attacked by the chloride anion and this leads to the 1,2 addition product.

In the other way the initially formed 1-methylcyclohex-2-en-1-ylium carbocation delocalizes its positive charge with the allyl group as it is in conjugation with the allyl group thereby  generating a positive charge at 4 postion and form 3-methylcyclohex-2-en-1-ylium. Now this carbocation is  attacked by the chloride anion and this leads to the 1,4 addition product.

The 1,2 addition product is a Kinetic product as it can quickly lead to products  wheras the 1,4 addition product is a thermodynamic product.

The product formed in this reaction would be a kinetic product formed form 1,2-addition.

Kindly refer the attachments for reaction mechanism.

Now let M react, and at time = 0, [M] = 0.102 M, A(545nm) = 0.491; at time = 30 seconds, A(545nm) = 0.404. What is the [M] at 30 seconds? What is the slope of the Absorbance vs. [M] function? What is the (average) rate of the reaction during this time period.

If a new reaction was run leaving [N] the same, but beginning (time = 0) with [M] = 0.204 M, A(545nm) = 0.981. After 30 seconds, A (545 nm) is 0.807. What is the order of the reaction with respect to [M] ?

Answers

Answer:

election of Cell conduct of your daily India Cases, itu is'n give you some reason=✓

Explanation:

[tex] \geqslant { \sqrt[ \geqslant \sqrt[ \geqslant \leqslant \sqrt[ \geqslant ]{0.time} \times \frac{ log_{30.0m}(3.71m) }{204.9m} ]{3528t} ]{3} }^{8} \times \frac{4}{3} [/tex]

Which of the following is the correct balanced equation for the neutralization of barium hydroxide with hydrochloric acid? Ba(OH)2 + 2 HCl → BaCl2 + 2 H2O BaOH2 + 2 HCl → BaCl2 + H2O BaOH + HCl → BaCl + H2O Ba(OH)2 + HCl → BaCl2 + H2O

Answers

Answer: The correct answer is [tex]Ba(OH)_2+2HCl\rightarrow BaCl_2+2H_2O[/tex]

Explanation:

Neutralization reaction is defined as the reaction in which an acid reacts with a base to produce a salt and also releases water molecule.

The general equation for this reaction follows:

[tex]BOH+HX\rightarrow BX+H_2O[/tex]

The balanced chemical equation for the reaction of barium hydroxide and hydrochloric acid follows:

[tex]Ba(OH)_2+2HCl\rightarrow BaCl_2+2H_2O[/tex]

By Stoichiometry of the reaction:

1 mole of barium hydroxide reacts with 2 moles of hydrochloric acid to produce 1 mole of barium chloride and 2 moles of water molecule.

Final answer:

The balanced chemical equation for the neutralization of barium hydroxide with hydrochloric acid is Ba(OH)2 + 2 HCl → BaCl2 + 2 H2O, leading to the formation of water and a salt, BaCl2.

Explanation:

The correct balanced equation for the neutralization of barium hydroxide with hydrochloric acid is Ba(OH)2 + 2 HCl → BaCl2 + 2 H2O. In this equation, Ba(OH)2 is the base and HCl is the acid. A neutralization reaction between an acid and a base results in the formation of water and salt. In this case, the salt is BaCl2. Each reactant and product in the equation is balanced, with the same number of each type of atom appearing on both sides of the equation, hence it's a balanced chemical equation.

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Aluminum reacts with chlorine gas to form aluminum chloride via the following reaction: 2Al(s)+3Cl2(g)→2AlCl3(s) What is the maximum mass of aluminum chloride that can be formed when reacting 15.0 g of aluminum with 20.0 g of chlorine? Express your answer to three significant figures and include the appropriate units.

Answers

Final answer:

The problem posed involves stoichiometry, requiring calculations related to reactants and the products in the given chemical reaction. Utilizing molar masses and the balanced chemical equation, we identify chlorine as the limiting reactant. Therefore, the maximum mass of aluminum chloride that can be produced when reacting 15.0g of aluminum with 20.0g of chlorine is approximately 25.0g.

Explanation:

The subject of this question relates to an area of chemistry known as stoichiometry, which involves calculating the amounts of reactants and products in chemical reactions. To determine the maximum mass of aluminum chloride that can be produced from 15.0g of aluminum and 20.0g of chlorine, we first need to convert these amounts to moles. We can do this by dividing the mass of each compound by its molar mass. The molar mass of aluminum (Al) is approximately 27 g/mol, and the molar mass of chlorine (Cl2) is approximately 71 g/mol. Therefore, we have approximately 0.56 moles of aluminum and 0.28 moles of chlorine.

Looking at the balanced chemical equation, we see that the reaction ratio between Al and Cl2 is 2:3. We have more than twice the number of moles of Al as Cl2, which means that Cl2 is the limiting reactant – it will be completely used up before all of the aluminum is reacted. Therefore, the amount of product (AlCl3) formed is determined by the amount of Cl2 present.

The balanced chemical equation also shows that the reaction ratio between Cl2 and AlCl3 is 3:2, so for every 3 moles of Cl2 reacted, we form 2 moles of AlCl3. Therefore, we can multiply the number of moles of Cl2 (0.28 moles) by 2/3 to find the number of moles of AlCl3 produced. We then convert this number of moles back to grams of AlCl3 by multiplying by the molar mass of AlCl3 (approximately 133 g/mol). This gives us approximately 25.0g of AlCl3 as the maximum amount that can be formed under these conditions.

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Calculate the standard potential for the following galvanic cell: Ni(s) | Ni2+(aq) || Ag+(aq) | Ag(s) which has the overall balanced equation: Ni(s)+2Ag+(aq)→Ni2+(aq)+2Ag(s) Express your answer to three significant figures and include the appropriate units.

Answers

Answer:

1.06  V  

Explanation:

The standard reduction potentials are:

Ag^+/Ag     E° =  0.7996 V  

Ni^2+/Ni     E° = -0.257   V

The half-cell and cell reactions for Ni | Ni^2+ || Ag^+ | Ag are

Ni → Ni^2+ + 2e-                     E° = 0.257   V

2Ag^+ 2e- → 2Ag                  E° = 0.7996 V

Ni + 2Ag^+ → Ni^2+ + 2Ag     E° = 1.0566  V

To three significant figures, the standard potential for the cell is 1.06 V .

The standard cell potential for the galvanic cell is 1.05 V.

The overall balanced equation of the reaction is;

Ni(s) + 2Ag+(aq) →Ni2+(aq) + 2Ag(s)

Since it is a galvanic cell, Nickel is the anode and silver is the cathode.

We know that;

E°cell = E°cathode - E°anode

E°cathode = -0.25 V

E°anode = 0.80 V

E°cell = 0.80 V - (-0.25 V)

E°cell = 1.05 V

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What material would be the best for a hip implant?

Fiber glass

Titanium

ABS

Steel

Rubber

Answers

Answer:

titanium

Explanation:

The feed to an ammonia synthesis reactor contains 25 mole% nitrogen and the balance hydrogen. The fow rate of the stream is 3000 kg/h. Calculate the rate of flow of nitrogen into the reactor in kg/h. (Suggestion: First calculate the average molecular weight of the mixture.)

Answers

Answer:

The rate of flow of nitrogen into the reactor is 2,470.588 kg/h.

Explanation:

Mole percentage of nitrogen gas  = 25 mole%

Mole percentage of hydrogen  gas  = 75 mole%

Average molecular weight of the mixture:

[tex](0.25\times 28 g/mol)+(0.75\times 2 g/mol)=8.5 g/mol[/tex]

Rate of flow of the stream = 3000 kg/h

Mass of stream in 1 hour = 3000 kg = 3,000,000 g

Moles of stream :

[tex]\frac{3000 g}{8.5 g/mol}=352,941.17 mol[/tex]

Moles of nitrogen gas in 352,941.17 moles of stream be x

[tex]25\%=\frac{\text{Moles of nitrogen gas}}{\text{Moles of stream}}\times 100[/tex]

[tex]25=\frac{x}{352,941.17mol}\times 100[/tex]

x = 88,235.294 mol

Mass of 8,823,529.4 mole of nitrogen gas:

[tex]88235.294 mol\times 28 g/mol=2.470588.2 g=2,470.588 kg[/tex]

The rate of flow of nitrogen into the reactor is 2,470.588 kg/h.

Final answer:

To calculate the rate of flow of nitrogen into the reactor, you need to calculate the average molecular weight of the mixture and use the ideal gas law.

Explanation:

To calculate the rate of flow of nitrogen into the reactor, we first need to calculate the average molecular weight of the mixture. The average molecular weight (MW) is calculated by summing the product of the mole fraction of each component and its molecular weight:

MW = (mole fraction of N2 * molecular weight of N2) + (mole fraction of H2 * molecular weight of H2)

Now, we can calculate the rate of flow of nitrogen using the ideal gas law:

Rate of flow of nitrogen = (mole fraction of N2 * flow rate of the stream * MW of N2) / molecular weight of N2

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1) For this reaction,

SiCl4 (l)+ 2H2O(g) <-> SiO2 (s) + 4HCl (g) DeltaH = -127 KJ

Predict the effect increase (i), decrease(d) or no change(nc) that each change has on the QUANTITY for the equilibrium mixture. Assume that each change is applied separately to the system.

Change Quantity Effect
increase in pressure amount of H2O
i, d or nc

decrease temp amount of SiCl4 i d or nc
increase temp Kc i d or nc
increase temp amount of H2O i d or nc
add H2O amount of SiCl4 i d or nc
add SiO2 amount of HCl i d or nc
add HCl amount of SiO2 i d or nc

Answers

Answer:

a) Increase

b) the amount of SiCl₄ will decrease.

c) K will increases.

d)  H₂O will increase.

e)  SiCl₄ will decrease

f) HCl will decrease.

g) SiO₂ will decrease

Explanation:

The equilibrium changes are explained by Le-Chatelier's Principle.

If we apply a change to an equilibrium system then it shifts to the side where the effect of stress can be released.

a) Change : Increase in pressure

Quantity : amount of water

Change: We are increasing the pressure it will decrease the volume and hence will increase the moles per unit volume. so the system will move in the direction where the number of gaseous moles are less. It will move towards reactant side. thus the amount of water will increase.

b) Change : decrease in temperature

Quantity : amount of SiCl₄

As this is an exothermic reaction, the decrease in temperature will shift the reaction towards product side and hence the amount of SiCl₄ will decrease.

c)

Change : Increase in Temperature

Quantity: Kc

The equilibrium constant will increase as it increases with temperature.

d) Change : increase in temperature

Quantity : amount of H₂O

As this is an exothermic reaction, the increase in temperature will shift the reaction towards reactant side and hence the amount of H₂O will increase.

e) Change : Add H₂O

Quantity: Amount of SiCl₄

As we are adding reactant to the equilibrium, the equilibrium will shift towards product side thus the amount of SiCl₄ will decrease

f) Change : Add SiO₂

Quantity: Amount of HCl

As we are adding product, the equilibrium will shift in reactant side and thus there will be decrease in amount of HCl.

g) Change : Add HCl

Quantity: Amount of SiO₂

As we are adding product to the equilibrium the equilibrium will shift in reactant side and thus there will be decrease in amount of SiO₂

When 26.0 mL of 0.500 M H2SO4 is added to 26.0 mL of 1.00 M KOH in a coffee-cup calorimeter at 23.50°C, the temperature rises to 30.17°C. Calculate ΔH of this reaction. (Assume that the total volume is the sum of the individual volumes and that the density and specific heat capacity of the solution are the same as for pure water.) (d for water = 1.00 g/mL; c for water = 4.184 J/g·°C.)

Answers

The enthalpy of reaction is -55.8 KJ/mol.

From the equation of the reaction;

2KOH(aq) + H2SO4(aq) ------> K2SO4(aq) + 2H2O(l)

Number of moles of H2SO4 = 26.0/1000 × 0.500 M  = 0.013 moles

Number of moles of KOH = 26.0/1000 × 1.00 M = 0.026 moles

2 moles of KOH produces 2 moles of water

Hence 0.0026 moles of KOH produces 0.026 moles of water.

Total volume of solution = 26.0 mL + 26.0 mL = 52 mL

Mass of water = density × volume = 1.00 g/mL ×  52 mL = 52 g

Using the formula;

ΔH = mcθ

Mass of solution (m) = 52 g

Specific heat capacity of solution (c) =  4.184 J/g·°C

Temperature difference(θ) =  30.17°C - 23.50°C = 6.67°C

Substituting values;

ΔH = -() 52 g × 4.184 J/g·°C  × 6.67°C/ 0.026 moles

ΔH =  -(1.45 KJ/0.026 moles)

ΔH = -55.8 KJ/mol

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To avoid dehydration during or after a long distance athletic event many athletes suggest sponging down with isopropanol. Why would this procedure help avoid the loss of water?

Answers

Here’s your answer. :)

Final answer:

Sponging down with isopropanol can help lower the body temperature through rapid evaporation, which can assist in preventing dehydration. Nevertheless, athletes should prioritize proper hydration by consuming adequate fluids, particularly sports drinks that contain a balance of water, electrolytes, and sugar, to maintain endurance and performance.

Explanation:

To avoid dehydration during or after a long-distance athletic event, athletes may sponge down with isopropanol because it accelerates the evaporation process when applied to the skin. This rapid evaporation causes a cooling effect which can help to lower the body temperature. However, it is important to note that the best way to prevent dehydration is through proper hydration, which involves drinking enough fluids, such as water or sports drinks, before, during, and after exercise. These fluids should contain the necessary electrolytes like sodium, which is crucial for fluid absorption and replacing what is lost through sweat.

The American College of Sports Medicine recommends that the goal of drinking fluids during exercise is to prevent dehydration without over-hydrating. Replacing lost fluids without overconsumption is key to maintaining optimal endurance and performance. To ensure proper rehydration, it's essential to consume sports drinks that contain the correct proportions of sugar, water, and sodium. Sodium in sports drinks not only enhances fluid absorption but also aids in maintaining blood-glucose levels for muscle fuel and replaces some of the electrolytes lost in sweat.

The depletion of ozone (O3) in the stratosphere has been a matter of great concern among scientists in recent years. It is believed that ozone can react with nitric oxide (NO) that is discharged from the high-altitude jet plane, the SST. The reaction is
O3 + NO ---> O2 + NO2
If 0.827 g of O3 reacts with 0.635 g of NO, how many grams of NO2 will be produced? g NO2 Which compound is the limiting reagent? ozone (O3) nitric oxide (NO) Calculate the number of moles of the excess reagent remaining at the end of the reaction.

Answers

Answer: Nitric oxide is the limiting reagent. The number of moles of excess reagent left is 0.0039 moles. The amount of nitrogen dioxide produced will be 0.7912 g.

Explanation:

To calculate the number of moles, we use the equation

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]   ....(1)

For ozone:

Given mass of ozone = 0.827 g

Molar mass of ozone = 48 g/mol

Putting values in above equation, we get:

[tex]\text{Moles of ozone}=\frac{0.827g}{48g/mol}=0.0172mol[/tex]

For nitric oxide:

Given mass of nitric oxide = 0.635 g

Molar mass of nitric oxide = 30.01 g/mol

Putting values in above equation, we get:

[tex]\text{Moles of nitric oxide}=\frac{0.635g}{30.01g/mol}=0.0211mol[/tex]

For the given chemical equation:

[tex]O_3+NO\rightarrow O_2+NO_2[/tex]

By Stoichiometry of the reaction:

1 mole of ozone reacts with 1 mole of nitric oxide.

So, 0.0172 moles of ozone will react with = [tex]\frac{1}{1}\times 0.0172=0.0172moles[/tex] of nitric oxide

As, given amount of nitric oxide is more than the required amount. So, it is considered as an excess reagent.

Thus, ozone is considered as a limiting reagent because it limits the formation of product.

Amount of excess reagent (nitric oxide) left = 0.0211 - 0.0172 = 0.0039 moles

By Stoichiometry of the reaction:

1 mole of ozone produces 1 mole of nitrogen dioxide.

So, 0.0172 moles of ozone will react with = [tex]\frac{1}{1}\times 0.0172=0.0172moles[/tex] of nitrogen dioxide

Now, calculating the mass of nitrogen dioxide from equation 1, we get:

Molar mass of nitrogen dioxide = 46 g/mol

Moles of nitrogen dioxide = 0.0172 moles

Putting values in equation 1, we get:

[tex]0.0172mol=\frac{\text{Mass of nitrogen dioxide}}{46g/mol}\\\\\text{Mass of nitrogen dioxide}=0.7912g[/tex]

Hence, nitric oxide is the limiting reagent. The number of moles of excess reagent left is 0.0039 moles. The amount of nitrogen dioxide produced will be 0.7912 g.

Final answer:

To find the mass of NO₂ produced in the reaction between O₃ and NO, and to identify the limiting reagent, one must convert the mass of each reactant to moles, compare these to the reaction stoichiometry, and perform subsequent calculations.

Explanation:

The concern over the depletion of ozone (O3) in the stratosphere due to reactions with nitric oxide (NO) from high-altitude jet planes is a crucial environmental issue. The reaction of interest is O3 + NO → O2 + NO2. To calculate the amount of NO2 produced from 0.827 grams of O₃ and 0.635 grams of NO, we must first determine the limiting reagent, which will dictate the maximum amount of product formed. This involves converting the masses of the reactants to moles, using their molar masses (O₃ = 48.00 g/mol and NO = 30.01 g/mol), and comparing the mole ratios to the stoichiometry of the reaction.

Calculations show that NO is the limiting reagent. From the stoichiometry of the reaction, it's clear that 1 mole of NO produces 1 mole of NO2. Thus, the mass of NO₂ produced can be directly calculated from the moles of NO reacted, taking into account the molar mass of NO2 (46.01 g/mol). The remaining amount of the excess reagent, O3, can also be determined by subtracting the moles of  O₃ that reacted (equal to the moles of NO reacted) from the initial moles of O₃.

Give the structure of the expected organic product in the reaction of 3−phenylpropanal with sodium hydroxide in ethanol at 70°C. If your structure contains an aldehyde do NOT use the condensed formula (−CHO), draw it out.

Answers

Answer:The expected product formed is 2-benzyl-5-phenylpent-2-enal .

Kindly refer the attachment for structure.

Explanation:

3-phenylpropanal on reaction with sodium hydroxide undergoes an self- aldol condensation reaction and leads to formation of  2-benzyl-5-phenylpent-2-enal as final product.

In the first step of the reaction the highly basic hydroxide anions abstract a acidic hydrogen available at the carbon next to carbonyl carbon.These hydrogens are acidic because of the electron withdrawing effect of carbonyl group.

The proton abstraction leads to the  generation of  a carbanion and it further delocalizes forming an enolate anion.

The carbanion  can behave as a nucleophile  and can attack at the electrophilic carbon centers.

The carbonyl carbon is electrophilic in nature due to the electron withdrawl from oxygen which generates a partial positive charge on the carbonyl carbon.

 The carbanion  further reacts with another molecule of 3-phenylpropanal at its electrophilic carbonyl center  and forms 2-benzyl-3-hydroxy-5-phenylpentanal. This reaction is known as self- aldol condensation reaction

2-benzyl-3-hydroxy-5-phenylpentanal  has a OH group and this OH group is protonated through  the available acidic protons from the solvent .

As OH is protonated it easily leaves leading to the formation of C=C double bond.

This reaction is one of the examples of  Carbon-Carbon bond forming reaction.

Kindly refer attachments for reaction, structure and mechanism.

Carry out an energy minimization to calculate the relative steric energies or heats of formation of three of the ten possible isomeric dibenzalacetones

Answers

Answer:

Calculate the steric energy or heat of formation for one single bond isomel of trans-benzAlacetone using the usual energy minimization procedure. The result should be a planar molecule, Then deliberately hold the dihedral angle defined by atoms 1, 2, 3, and 4 at 0 90, and 180 and again calculate the energies of the molecule.

Find the fugacity coefficient of a gaseous species of mole fraction 0.4 and fugacity 25 psia in a mixture at a total pressure of 50 psia

Answers

Answer: The fugacity coefficient of a gaseous species is 1.25

Explanation:

Fugacity coefficient is defined as the ratio of fugacity and the partial pressure of the gas. It is expressed as [tex]\bar{\phi}[/tex]

Mathematically,

[tex]\bar{\phi}_i=\frac{\bar{f_i}}{p_i}[/tex]

Partial pressure of the gas is expressed as:

[tex]p_i=\chi_iP[/tex]

Putting this expression is above equation, we get:

[tex]\bar{\phi}_i=\frac{\bar{f_i}}{\chi_iP}[/tex]

where,

[tex]\bar{\phi}_i[/tex] = fugacity coefficient of the gas

[tex]\bar{f_i}[/tex] = fugacity of the gas = 25 psia

[tex]\chi_i[/tex] = mole fraction of the gas = 0.4

P = total pressure = 50 psia

Putting values in above equation, we get:

[tex]\bar{\phi}_i=\frac{25}{0.4\times 50}\\\\\bar{\phi}_i=1.25[/tex]

Hence, the fugacity coefficient of a gaseous species is 1.25

Ammonia is a principal nitrogen fertilizer. It is prepared by the reaction between hydrogen and nitrogen. 3H2(g) + N2(g) → 2NH3(g) In a particular reaction, 8.00 moles of NH3 were produced. How many moles of H2 and how many moles of N2 were reacted to produce this amount of NH3?

Answers

Final answer:

To produce 8 moles of ammonia, 4 moles of nitrogen and 12 moles of hydrogen would have been reacted, according to the stoichiometry of the reaction.

Explanation:

The balanced chemical reaction for the production of ammonia (NH3) is given by: N2(g) + 3H2(g) → 2NH3(g). This implies that for every 2 moles of ammonia produced, 1 mole of nitrogen (N2) and 3 moles of hydrogen (H2) are reacted. Therefore, if 8 moles of NH3 were produced, the amount of nitrogen reacted would be 8/2 moles of N2, which is 4 moles of N2. Using the stoichiometric ratio, the moles of hydrogen reacted would be 3 x 4, which is 12 moles of H2.

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Final answer:

To produce 8.00 moles of NH3, the reaction would consume 4.00 moles of N2 and 12.00 moles of H2, as inferred from the stoichiometric ratios provided by the balanced equation.

Explanation:

The chemical equation for the creation of ammonia, a principle nitrogen fertilizer, from nitrogen and hydrogen is shown as: N2(g) + 3H2(g) → 2NH3(g). To find out how many moles of H2 and N2 were reacted to produce 8.00 moles of NH3, we use the stoichiometric ratios provided by the balanced equation. The balanced equation shows that one mole of N2 reacts with three moles of H2 to produce two moles of NH3. Therefore, if 8.00 moles of NH3 were produced, we can infer that the reaction consumed 4.00 moles of N2 and 12.00 moles of H2. This is because the ratio of N2 to NH3 in the reaction is 1:2 and the ratio H2 to NH3 is 3:2, so we divide 8 by 2 to find the moles of N2, and multiply 8 by 3/2 to find moles of H2.

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Magnesium and nitrogen react in a combination reaction to produce magnesium nitride: 3 Mg N2 → Mg3N2 In a particular experiment, a 8.33-g sample of N2 reacts completely. The mass of Mg consumed is ________ g.

Answers

Answer:

The mass of Mg consumed is 21.42g

Explanation:

The reaction is

[tex]3Mg+N_{2}-->Mg_{3}N_{2}[/tex]

As per balanced equation, three moles of Mg will react with one mole of nitrogen to give one mole of magnesium nitride.

as given that mass of nitrogen reacted = 8.33g

So moles of nitrogen reacted = [tex]\frac{mass}{molarmass}=\frac{8.33}{28}=0.2975mol[/tex]

moles of Mg required = 3 X moles of nitrogen taken = 3X0.2975 = 0.8925mol

Mass of Mg required = moles X molar mass = 0.8925 X 24 = 21.42 g

Final answer:

The stoichiometric reaction between magnesium and nitrogen to produce magnesium nitride requires 3 moles of magnesium for each mole of nitrogen. Therefore, for an 8.33g sample of nitrogen, approximately 21.66g of magnesium will be consumed.

Explanation:

The subject question involves a stoichiometric calculation regarding a reaction between magnesium (Mg) and nitrogen (N2) to produce magnesium nitride (Mg3N2). The balanced equation for the reaction is: 3 Mg + N2 → Mg3N2. This ratio tells us that for every 1 mole of N2, 3 moles of Mg are needed.

The molar mass of N2 is 28.014 g/mol. In an 8.33-g sample, there are (8.33 g)/(28.014 g/mol) = 0.297 mol of N2.

As per the reaction's stoichiometry, three times this amount in moles of Mg are needed, so 0.297 mol x 3 = 0.891 mol of Mg are required.

The molar mass of Mg is 24.305 g/mol. Thus, the mass of Mg consumed is (0.891 mol) x (24.305 g/mol) = 21.66 g.

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Consider the neutralization reaction 2HNO3(aq)+Ba(OH)2(aq)⟶2H2O(l)+Ba(NO3)2(aq) A 0.105 L sample of an unknown HNO3 solution required 46.5 mL of 0.100 M Ba(OH)2 for complete neutralization. What is the concentration of the HNO3 solution?

Answers

Answer: The concentration of [tex]HNO_3[/tex] comes out to be 0.088 M.

Explanation:

To calculate the concentration of acid, we use the equation given by neutralization reaction:

[tex]n_1M_1V_1=n_2M_2V_2[/tex]

where,

[tex]n_1,M_1\text{ and }V_1[/tex] are the n-factor, molarity and volume of acid which is [tex]HNO_3[/tex]

[tex]n_2,M_2\text{ and }V_2[/tex] are the n-factor, molarity and volume of base which is [tex]Ba(OH)_2[/tex]

We are given:

Conversion factor: 1 L = 1000 mL

[tex]n_1=1\\M_1=?M\\V_1=0.105L=105mL\\n_2=2\\M_2=0.100M\\V_2=46.5mL[/tex]

Putting values in above equation, we get:

[tex]1\times M_1\times 105=2\times 0.100\times 46.5\\\\M_1=0.088M[/tex]

Hence, the concentration of [tex]HNO_3[/tex] comes out to be 0.088 M.

Final answer:

The concentration of the HNO3 solution is 0.443 M.

Explanation:

To determine the concentration of the HNO3 solution, we can use the equation, concentration = (volume of solution titrated)/(volume of solution required for complete neutralization). In this case, the volume of solution titrated is 0.105 L and the volume of 0.100 M Ba(OH)2 solution required for complete neutralization is 46.5 mL (or 0.0465 L). Plugging these values into the equation, we get: concentration = 0.0465 L / 0.105 L = 0.443 M.

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Consider the following elementary reaction: NO2(g) + F2(g) --> NO2F(g) + F (g) Suppose we let k1 stand for the rate constant of this reaction, and k -1 stand for the rate constant of the reverse reaction. Write an expression that gives the equilibrium concentration of F2 in terms of k1, k -1, and the equilibrium concentrations of NO2, NO2F, and F.

Answers

Final answer:

To express the equilibrium concentration of F2, the equation [F2] = (k -1[NO2F][F]) / (k1[NO2]) is used, based on the principle that the forward reaction rate equals the reverse reaction rate at equilibrium.

Explanation:

To write an expression for the equilibrium concentration of F2 in terms of the rate constants k1 and k -1, and the equilibrium concentrations of NO2, NO2F, and F, one can use the principle that at equilibrium the rate of the forward reaction is equal to the rate of the reverse reaction. For the given reaction NO2(g) + F2(g) → NO2F(g) + F(g), the forward rate is given by k1[NO2][F2] and the reverse rate by k -1[NO2F][F]. Setting these equal to each other gives us:

k1[NO2][F2] = k -1[NO2F][F]

Solving for the equilibrium concentration of F2, we have:

[F2] = (k -1[NO2F][F]) / (k1[NO2])

This expression relates the equilibrium concentration of F2 to the rate constants and the equilibrium concentrations of NO2, NO2F, and F.

Select the false statement below : Fe2+ is more paramagnetic (has more unpaired electrons) than Fe3+ Fe3+ is isoelectronic with Mn2+ Fe has 2 outer electrons, 8 valence electrons, and 18 core electrons Fe3+ is predicted to be a stronger potential oxidizing agent (can be reduced more) than Fe2+ none of these ions (Fe2+, Fe3+, Mn2+) have any electrons in the 4s subshell

Answers

hey there!:

1) none of these ions ( Fe²⁺ , Fe³⁺ , Mn²⁺ 0 have any electrons in the 4s subshell .  ( TRUE )

2) Fe²⁺ is more paramagnetic ( has more unpaired electrons ) than Fe³⁺.

( FALSE )  explanation :

* Fe²⁺ has no free electrons and is diamagnetic

* Fe³⁺ has one unpaired electron and is paramagnetic

3) Fe³⁺ is isoeletronic with Mn²⁺ . ( TRUE )

4) Fe has 2 outer electrons , 8 valence electrons , and 18 core eletrons. (TRUE )

electron configuration  Fe = 1s², 2s², 2p⁶, 3s² , 3p⁶, 4s² , 3d⁶ or :

[Ar] = 4s²  , 3d⁶

5) Fe³⁺ is predicted to be a stronger potencial oxidizing agent  ( can be reduced more ) than Fe²⁺   ( TRUE )

Hope this helps!

The false statement is that; "Fe2+ is more paramagnetic (has more unpaired electrons) than Fe3+."

Iron is a transition element that has 26 valence electrons in the ground state. The ground state electron configuration of iron is [Ar] 3d6 4s2. The 4s electrons are the outer electrons hence Fe2+ is a d6 specie while Fe3+ is a d5 specie.

This means that Fe3+ has five unpaired electrons while Fe2+ has only four unpaired electrons. Hence, the false statement is that; "Fe2+ is more paramagnetic (has more unpaired electrons) than Fe3+."

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