if each dimer is 20 angstroms in length, calculate approximately how long (in feet or miles) a strand of nylon can be formed in this experiment. type out your calculations. (2 pts)

The standard Gibbs free energy of reaction is -25.4 kJ/mol. And  the equilibrium constant (K) for the reaction is approximately 4.85. The value of AG for the first reaction is approximately -31.9 kJ/mol. The value of AS for the second reaction is approximately 174 J/mol/K.

We may use the following equation to determine the standard Gibbs free energy of reaction for the first portion of the question:

G=-RT ln K

where T is the temperature in Kelvin, K is the equilibrium constant, and R is the gas constant. Given that K and T are known, we may solve for G° by substituting these values:

G° is equal to -(8.314 J/mol K)/293 K*ln (6.7 10–10).

-25.4 kJ/mol for G°

As a result, the reaction's standard Gibbs free energy is -25.4 kJ/mol.

The following equation can be used to determine the equilibrium constant K for the reaction in the second section of the question:

G=-RT ln K

But, since G and T are provided in this instance, we can modify the equation to account for K:

K = e^(-ΔG°/RT)

K is equal to e(-121000 J/mol / 8.314 J/mol K * 303 K).

K ≈ 4.85

As a result, the reaction's equilibrium constant is roughly 4.85.

We can complete the table as follows to answer the third component of the question:

Response AH (kJ/mol)

J/mol K, AS

(kJ/mol) AG

Graphite spontaneity = CO2 107 397 -31.9

Neither P2O5? -44? nor 2H3PO4?

We can use the following equation to determine AG for the initial reaction:

ΔG = ΔH - TΔS

where H stands for the change in enthalpy, S for the change in entropy, and T for temperature. Given that H and S are known, we can use these values as substitutes to find G:

G is equal to 107000 J/mol - 298 K * 397 J/mol K.

-31.9 kJ/mol for G

As a result, the AG value for the first reaction is roughly -31.9 kJ/mol.

The following response, Given that H and G are provided, we must determine S. We can apply the formula:

ΔG = ΔH - TΔS

then reorder it to account for S:

ΔS = (ΔH - ΔG) / T

"S" is equal to (116000 J/mol - 41000 J/mol) (286 K)

174 J/mol K for S.

As a result, the second reaction's AS value is roughly 174 J/mol K.

We can use the sign of G to ascertain each reaction's spontaneity. If G is less than zero, the reaction moves ahead on its own. The reaction is spontaneously in the opposite direction if G > 0. The system is in equilibrium and neither the forward nor the backward reaction is spontaneous if G = 0.

We discovered that G is negative for the initial reaction, indicating that the reaction is spontaneous in the forward direction.

Because we don't know the values of H and G, we lack the knowledge necessary to determine the spontaneity of the second reaction.

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The coefficient of [tex]$\mathrm{HNO}_3$[/tex] exists 8 , and [tex]$\mathrm{H}_2 \mathrm{O}$[/tex] exists 4.

The ratio between a sample's mass and its substance content is known as the molar mass of a chemical compound in chemistry. A substance's molar mass is a bulk attribute rather than a molecular one.

One mole of a material is weighed to determine its molar mass. Add the masses of all the components in a molecule to determine the molecular mass of the molecule by multiplying the subscript (number of atoms) by the atomic mass of each element in the molecule.

The first step will be to convert 144.1 grams of [tex]$\mathrm{HNO}_3$[/tex] to moles. To estimate the molar mass

[tex]$$1(1.0)+1(14)+3(16)=1+14+48=63 \mathrm{~g} / \mathrm{mol}$$[/tex]

[tex]$144.1 \mathrm{gHNO}_3 \times \frac{1 \mathrm{~mol} \mathrm{HNO}_3}{63 \mathrm{gHNO}_3}=2.287 \mathrm{~mol} \mathrm{HNO}_3$$[/tex]

Moles of [tex]$\mathrm{HNO}_3$[/tex] you're starting with, utilize the ratio of moles in the equation to find the moles of [tex]$\mathrm{H}_2 \mathrm{O}$[/tex] produced. The coefficient of [tex]$\mathrm{HNO}_3$[/tex] exists 8 , and [tex]$\mathrm{H}_2 \mathrm{O}$[/tex] exists 4

[tex]$$\begin{aligned}& 2.287 \mathrm{moHHO}_3 \times \frac{4 \mathrm{~mol}}{ 8 \mathrm{moH}_3} \mathrm{H}_2 \underline{\mathrm{O}}=1.144 \mathrm{~mol} \mathrm{H}_2 \mathrm{O} \\&\end{aligned}$$[/tex]

Rounded to the nearest tenth, 1.1 moles [tex]$\mathrm{H}_2 \mathrm{O}$[/tex].

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a. 7.623 × 10⁵ nm is expressed as 762300nm

b. 5.34 × 10⁻³ L is expressed as 0.00534

Following numerals are explain below:

A numeral is a name or symbol that represents a certain number. Examples include the numerals three, four, and twelve. So, the numeral is how we express the number, which is a concept. Reason: A numeral is a word that describes a number, whereas a number is conveyed via digits.

c. 5.453 × 10⁶ m is expressed as 5453000

d. 6.791 × 10⁻⁵pm is expressed as 6791m

e. 2.4 × 10⁹pg is expressed as 2400000000

f. 3.65 × 10⁵ is expressed as 365000

g. 3.4287 × 10⁻⁶L is expressed as 0.0000034287

h. 9.2 × 10²mL is expressed as 920L

i. 6.927 × 10⁴  is expressed as 69270m

j. 9.23 × 10⁻³ is expressed as 0.00923

Thus, a. 7.623 × 10⁵ nm is expressed as 762300nm.

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The equilibrium expression Kc for the reaction can be written as -

                                                 [tex]Kc = \frac{O_{3}^{2} }{O_{2} ^{3} }[/tex]

Equilibrium constant of a chemical reaction at equilibrium is defined as the ratio of concentration of products to the concentration of reactants, each raised to their respective stoichiometric coefficients.

The expression that links Kc to the equilibrium concentration of reactants and products and stoichiometry of the equation is called equilibrium expression.

Kc is the equilibrium constant where subscript c refers to the fact that concentrations have been used in the calculations. The units of Kc depend on the equilibrium expression.

Therefore, the equilibrium expression Kc for the reaction can be written as -

                                                 [tex]Kc = \frac{O_{3}^{2} }{O_{2} ^{3} }[/tex]

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The compound is cyclobutane with molecular formula C4H8 and its molecular ion peaks are discussed in the below section.

A hydrocarbon C4H8 with a molecular ion peak at m/z = 66. This is a compound that absorbs IR radiation at 1720 cm-1 and exhibits a molecular ion peak at m/z = 70.  Infrared (IR) spectroscopy is an absorption approach extensively utilized in each qualitative and quantitative analyses. The infrared vicinity of the spectrum consists of electromagnetic radiation that could adjust the vibrational and rotational states of covalent bonds in natural molecules. The IR spectroscopy idea makes use of the idea that molecules generally tend to soak up precise frequencies of mild which can be feature of the corresponding shape of the molecules. The energies are reliant at the form of the molecular surfaces, the related vibronic coupling, and the mass similar to the atoms.

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The metals that would act as the sacrificial anode that is cathodic protection for the iron is the correct option is a. Al and b. Zn.

a) Al is the sacrificial anode as it is higher than the iron in the reactivity series. Therefore, it is the more reactive than the iron.

b) Zn  is the sacrificial anode as it is higher than the iron in the reactivity series. Therefore, it is the more reactive than the iron.

c) Pb cannot acts as the sacrificial anode for the iron as it is lower than the iron in the reactivity series. Therefore, it is less reactive than the iron.

d) Na cannot acts as the sacrificial anode for the iron as it is lower than the iron in the reactivity series. Therefore, it is less reactive than the iron.

e) Ni cannot acts as the sacrificial anode for the iron as it is lower than the iron in the reactivity series. Therefore, it is less reactive than the iron.

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The number of moles of 77.4 grams of C₅H₁₀O₅ is 0.52 mol.

To determine the number of moles of C₅H₁₀O₅ in 77.4 grams, we need to divide the mass by the molar mass of the compound.

The molar mass of C₅H₁₀O₅ is:

5(12.01 g/mol) + 10(1.01 g/mol) + 5(16.00 g/mol) = 150.15 g/mol

So, the number of moles of C₅H₁₀O₅ in 77.4 grams is:

n = m/M = 77.4 g / 150.15 g/mol

n = 0.515 mol (rounded to 2 decimal spaces)

Therefore, 77.4 grams of C₅H₁₀O₅ is equivalent to 0.52 mol of C₅H₁₀O₅.

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Elevation of ATP (adenosine triphosphate) would be an example of a compound that will reduce activity through the TCA cycle.

The TCA cycle also known as the citric acid cycle or Krebs cycle, is a series of metabolic reactions that occur in the mitochondria of cells and play a crucial role in the production of energy. However, under certain metabolic conditions, the flux through the TCA cycle can be reduced due to an increase in TCA cycle inhibitors.

One such inhibitor is ATP, which is the primary energy currency of the cell.

When ATP levels are high, it signals to the cell that there is enough energy available and there is no need to produce more through the TCA cycle.

As a result, the activity of the TCA cycle is reduced, leading to a decrease in the production of energy.

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The answers to the virtual lab that specifies the use of a virtual spectrometer is given below:

2. Space consists of bodies with different types of electromagnetic spectrum.

This includes high-energy bodies emitting radiation in short wavelengths and extremely short wavelengths such as in UV spectrum, X rays, and gamma rays.

Conversely, other bodies might be emitting radiations in longer wavelengths such as Microwaves and Radio waves.

Since these radiations are at two different ends of the electromagnetic spectrum, a large number of equipment would be required for individually studying these space-based radiation sources and their characteristics.

3. The element missing from the moons and the planets would be Oxygen. It is to be remembered that Oxygen forms the base of the sustenance of life forms on Earth and forms an indispensable part of the carbon cycle. In the absence of oxygen, these planets and moons remain lifeless.

4. Stars emit heat and light. Along with the heat and light, radiations are emitted by the star. These radiations travel outward from stars and work as the signature of the stars. By analyzing the radiations from the stars, scientists back on Earth could deduce the physical conditions in the heart of a star including its constitution, temperature, and surface conditions.

E.g., If the star is emitting radiation in longer wavelengths, this is an indication that the star is cooling down and the temperature is relatively low.

5. The knowledge of the constitution of the elements making up the moon or planet is necessary to ascertain the life-sustaining capability of the same. Through adequate knowledge of the composition of the moon/planet, the possibility of the life-sustaining ability of the same could be deduced.

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Therefore, there are 3.011 x 10²³ hydrogen ions in 0.5 grams of hydrogen ions. Therefore, there are 5.42 x 10²⁴ atoms in 54 grams of water.

An atom is the basic unit of matter consisting of a nucleus of protons and neutrons, surrounded by a cloud of negatively charged electrons. Atoms are the building blocks of all elements and combine to form molecules and compounds. The properties of an element are determined by the number and arrangement of its atoms.

Here,

a) To determine the number of hydrogen ions in 0.5 grams, we need to first calculate the number of moles of hydrogen ions and then use Avogadro's number to convert to the number of ions.

The molar mass of hydrogen ion (H+) is approximately 1 g/mol.

Number of moles of hydrogen ions = mass/molar mass = 0.5 g / 1 g/mol = 0.5 mol

Number of hydrogen ions = Avogadro's number x number of moles = 6.022 x 10²³/mol x 0.5 mol = 3.011 x 10²³ hydrogen ions

b) To determine the number of atoms/ions in 54 grams of water, we need to first calculate the number of moles of water and then use Avogadro's number to convert to the number of atoms/ions.

The molar mass of water (H2O) is approximately 18 g/mol.

Number of moles of water = mass/molar mass = 54 g / 18 g/mol = 3 mol

Each water molecule contains 3 atoms (2 hydrogen atoms and 1 oxygen atom). Therefore, the number of atoms in 3 moles of water is:

Number of atoms = Avogadro's number x number of moles x 3 = 6.022 x 10²³/mol x 3 mol x 3 = 5.42 x 10²⁴ atoms

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Zinc: 0.75%, Copper: 99.25%. Zn and Cu are the symbols for zinc and copper, two chemical elements.

Generally, The composition of a penny is 97.5% zinc and 2.5% copper by weight. The zinc core of a penny is covered by a thin copper plating.

The copper plating is what gives the penny its distinct copper color.

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The orbital can only take two electrons.

The maximum number of electrons that an orbital can contain is determined by its angular momentum quantum number, "l", and its spin quantum number, "m_s". For a given value of "l", an orbital can contain 2l + 1 electrons with different values of "m_s", each of which can have either spin "up" (m_s = +1/2) or spin "down" (m_s = -1/2). The maximum number of electrons in an orbital is thus 2(2l + 1), with half of the electrons having one spin orientation and the other half having the opposite spin orientation.

We know that we can be able to obtain the number of electrons by looking at the quantum numbers;

n = 6

l = 1

ml = -1

Since we know that it is a px orbital then it can take two electrons.

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Calcium carbonate is the active ingredient in agricultural lime.

Calcium carbonate is the calcium salt with formula CCaO3. It has a role as an antacid, a food coloring, a food firming agent and a fertilizer and much more. It is a calcium salt, a carbonate salt, a one-carbon compound and an inorganic calcium salt.

Calcium carbonate is used therapeutically as a phosphate buffer.

488 moles of calcium carbonate (CaCO3) can be calculated by using its molecular weight. Calcium carbonate has a molecular weight of 100.0869 g/mol. To calculate the mass of 488 moles, we can multiply the molecular weight by the number of moles:

mass = molecular weight x number of moles

mass = 100.0869 g/mol x 488 mol

mass = 48,842.4072 g

So, the mass of 488 moles of calcium carbonate is approx. 48,842.4072 grams.

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Answer: [A]t = -kt + [A]₀ or when you rearrange the equation [A]t - [A]₀ = -kt

Explanation:

Below are the integrated rate laws for zero, first and second order reactions.

Zero Order

[A]t = -kt + [A]₀

First Order

ln[A]t = -kt + ln[A]₀

Second Order

1/[A]t = kt + 1/[A]₀

K = Ae^-(Ea/RT) is the Arrhenius equation

NaF – Na is assigned an oxidation number of +1. The molecule is neutral, therefore, F must be assigned an oxidation number of -1.

SiO2 – The oxidation number of silicon in silicon oxide is 4.

Cl2O7 – The oxidation state of chlorine in Cl2O7 is +7

Ca3N2 – The oxidation number of Ca in Ca3N2 C a 3 N 2 is (c)+2. Here, 3 atoms of Ca in a +2 state combine with 2 atoms of N in a -3 state to give a net zero charge (as +6 charge of Ca atoms cancel out the -6 charge of the N atoms).

CaO – Since Ca is in column 2 of the periodic table, it will share 2 electrons and use an oxidation state of 2 . Since O is in column 6 of the periodic table, it will share 6 electrons and use an oxidation state of 6 .

N2O3 – Nitrogen is in the +3 oxidation state in N2O3.

What is the oxidation state?

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The correct total ionic equation for the reaction between sodium hydroxide and magnesium chloride is

option f. MgCl2 (aq) + 2 NaOH (aq) → Mg(OH)2 (s) + 2 NaCl (aq).

Here's the step-by-step explanation:

1. First, we need to write the balanced chemical equation for the reaction between sodium hydroxide and magnesium chloride. This equation is: MgCl2 (aq) + 2 NaOH (aq) → Mg(OH)2 (s) + 2 NaCl (aq)

2. Next, we need to write the total ionic equation by breaking all of the soluble compounds into their respective ions. This gives us: Mg2+ (aq) + 2 Cl- (aq) + 2 Na+ (aq) + 2 OH- (aq) → Mg(OH)2 (s) + 2 Na+ (aq) + 2 Cl- (aq)

3. Finally, we can cancel out the spectator ions, which are the ions that appear on both sides of the equation and do not participate in the reaction. In this case, the spectator ions are Na+ and Cl-. This gives us the net ionic equation: Mg2+ (aq) + 2 OH- (aq) → Mg(OH)2 (s)

So, the correct total ionic equation for the reaction between sodium hydroxide and magnesium chloride is option f. MgCl2 (aq) + 2 NaOH (aq) → Mg(OH)2 (s) + 2 NaCl (aq).

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Here is the completed sequence with the requested information, the reagents for all three steps are  Mg (metallic magnesium), H3O+ (Hydronium ion), PCC (Pyridinium chlorochromate).

A reagent is a substance that is added to a chemical reaction to cause a chemical change or to test for the presence or absence of another substance. Reagents are often used in chemical analysis, organic synthesis, and other chemical processes.

Step 1:

Reagent: Mg (metallic magnesium)

Product: Compound A

Reaction type: Grignard reaction

Structure of compound A: Not enough information provided

Step 2:

Reagent: H3O+ (Hydronium ion)

Product: Compound B

Reaction type: Acid-catalyzed hydration of an alkene

Structure of compound B: Not enough information provided

Step 3:

Reagent: PCC (Pyridinium chlorochromate)

Product: Not provided

Reaction type: Oxidation of a primary alcohol to an aldehyde

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The theoretical yield of lead(II) chloride is 2.992 g.

The percent yield is 79.6%.

(a) To find the theoretical yield of lead(II) chloride, we need to determine the limiting reagent in the two reactions.

First, calculate the moles of PbCO₃:

molar mass of PbCO₃ = 267.2 g/mol

moles of PbCO₃ = 2.871 g / 267.2 g/mol = 0.01075 mol

Next, we use the mole ratio between PbCO₃ and PbCl₂ in the second reaction to determine the moles of PbCl₂ produced:

moles of PbCl₂ = moles of PbCO3 × (1 mol PbCl₂ / 1 mol PbCO3) = 0.01075 mol

Finally, we convert the moles of PbCl₂ to grams using the molar mass of PbCl₂:

molar mass of PbCl₂ = 278.1 g/mol

theoretical yield of PbCl₂ = moles of PbCl₂ × molar mass of PbCl₂ = 0.01075 mol × 278.1 g/mol = 2.992 g

Therefore, the theoretical yield of lead(II) chloride is 2.992 g.

(b) The percent yield is calculated by dividing the actual yield by the theoretical yield and multiplying by 100:

percent yield = (actual yield / theoretical yield) × 100%

The actual yield is given as 2.385 g. Substituting this and the theoretical yield calculated in part (a) gives:

percent yield = (2.385 g / 2.992 g) × 100% = 79.6%

Therefore, the percent yield of lead(II) chloride is 79.6%.

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Elements C and D are the same and elements A and B are the same.

The periodic table of elements is arranged in order of increasing atomic number, with elements in the same group having similar chemical and physical properties. Generally, elements in the same group have similar reactivity due to their similar electron configurations.

We can see that the table that we have shows that the elements  C and D are the same and elements A and B are the same.

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The number of significant figures that should be recorded for the answer will be only one which is 8.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numbers are 43.6 and 21.2. Then the addition of the numbers is given as,

⇒ 43.6 + 21.2

⇒ 64.8

The number of significant figures that should be recorded for the answer will be only one which is 8.

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Answer: 3

Explanation:

The 1.0 m calcium chloride solution has the lowest freezing point and the greatest boiling point among the four solutions. In solution, calcium chloride, a salt, splits into three ions (Ca2+ and two Cl-).

A colligative property of a solution is a physical property that depends on the number of solute particles present in the solution and not on their chemical identity. Examples of colligative properties include the lowering of the freezing point, the elevation of the boiling point, vapor pressure lowering, and osmotic pressure. These properties are related to the changes in the physical behavior of a solvent caused by the presence of solute particles, such as a reduction in the solvent's vapor pressure or an increase in its boiling point. Colligative properties are important in various fields, including chemistry, materials science, and biology.

Hence, the answer is, of the four solutions, 1.0 m calcium chloride has both the lowest freezing point and the highest boiling point.

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You would need to add approximately 0.2 μL of 6M HCl acid to 800 mL of 100 mM TRIS buffer at.

To calculate how much 6M HCl you need to add to lower the pH of a 800 mL solution of 100 mM TRIS from pH 10.2 to pH 7.0, you need to determine the initial and final concentrations of the TRIS buffer, and use the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

where;

First, calculate the initial concentration of TRIS- and HTRIS:

TRIS- concentration = 100 mM × 10^(-10.2) = 6.31 × 10^(-6) M

HTRIS concentration = 100 mM - 6.31 × 10^(-6) M = 99.99999369 mM

Next, determine the desired final concentration of TRIS- and HTRIS:

TRIS- concentration = 10^(-7.0) = 1 × 10^(-7) M

HTRIS concentration = 100 mM - 1 × 10^(-7) M = 99.9999999 mM

Now, use the Henderson-Hasselbalch equation to calculate the amount of HCl needed to achieve the desired pH:

pH = pKa + log([A-]/[HA])

7.0 = 8.1 + log([1 × 10^(-7)]/[99.9999999])

log([1 × 10^(-7)]/[99.9999999]) = -1.1

[1 × 10^(-7)]/[99.9999999] = 0.0794

[1 × 10^(-7)] = 0.0794 × [99.9999999]

[1 × 10^(-7)] = 7.93999993 × 10^(-6) M

[HA] = 100 mM - 7.93999993 × 10^(-6) M = 99.99999206 mM

The difference in [H+] concentration between the initial and final buffer conditions is:

[H+] concentration difference = [HA]initial - [HA]final

= 99.99999369 mM - 99.99999206 mM

= 0.00000163 M

To calculate the amount of 6M HCl needed to achieve this change in [H+], use the following formula:

moles of HCl = volume of buffer (L) × concentration difference (M)

where;

moles of HCl = 0.800 L × 0.00000163 M = 1.304 × 10^(-6) moles

Finally, convert moles of HCl to volume of 6M HCl needed:

volume of 6M HCl = moles of HCl ÷ concentration of HCl

The concentration of 6M HCl is 6 mol/L or 6,000 mM.

volume of 6M HCl = (1.304 × 10^(-6) moles) ÷ (6,000 mM)

= 0.219 μL or approximately 0.2 μL (microliters)

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The partial pressure of the each gas and the total pressure if the temperature of the gas is 18 °C is the partial pressure of O₂ is 3.74 atm  and the partial pressure of He is 19.44 atm . The total pressure of the is 27.59 atm.

The ideal gas equation is as :

P = n R T / V

Moles of O₂ = mass / molar mass

                     = 50.3 / 32

                    = 1.57 mol

Partial pressure of O₂ = ( 1.57 × 0.082 × 291 ) / 10

                                   = 3.74 atm

Moles of He = mass / molar mass

                      = 32.6 / 4

                      = 8.15 mol

Partial pressure of He = ( 8.15 × 0.082 × 291 ) / 10

                                     = 19.44 atm

The total pressure = partial pressure of He + partial pressure of  O₂

                               = 19.44 + 8.15

                               = 27.59 atm

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Element (Si), Element (Oxygen) in molecular form (O2), Compound (H2O2), Compound (Fe2O3), Compound (CH4).

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Compound A's (ethanimine) conjugate acid will be CH3-CH=NH2+. Compound B's (acetonitrile) conjugate acid will be CH3-CNH2+.

It is a colorless, flavorless, and odorless gas that makes up the majority of the atmosphere on Earth and is a component of all living things. Nitrogen is a chemical element with the symbol N and atomic number 7. Nitrogen is a nonmetal and the lightest element in the pnictogens, group 15 of the periodic table. It is a common element in the universe and is thought to be the eighth most abundant element overall in the Milky Way and the Solar System.

The primary source of nitrogen for atmospheric deposition is the combustion on fossil fuels like coal and oil. Nitrogen may be deposited in the atmosphere as dry particulates, gases, or droplets or as a wet form such as rainfall, snow, hail, fog, or freezing rain. Nitrogen primarily comes from the atmosphere. It is made comprised of this harmless, colorless gas in 78 percent of its composition.

Compound B (acetonitrile), which possesses a nitrogen atom with a higher positive charge and more electronegative properties that make it more stable after receiving a proton, is the strongest acid.

Compound A (ethanimine) has the strongest base because its nitrogen atom has a higher electron density and is better equipped to receive a proton.

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the pressure will be increased by a factor of 2.

what is the relationship between the pressure, volume and the temperature ?

The relationship between the pressure, volume, and temperature of a gas is described by the ideal gas law, which is expressed as PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the absolute temperature. According to this law, the pressure of a gas is directly proportional to its temperature, assuming that the volume and number of moles remain constant.

In the given scenario, the gas is heated from 200 K to 400 K, while the container remains sealed and rigid, which means that the volume and number of moles of gas remain constant. As a result, the pressure of the gas must increase by a factor of 2, since the temperature has also increased by a factor of 2.

This can also be explained by the kinetic theory of gases, which states that the pressure of a gas is related to the average kinetic energy of its particles. When the gas is heated, its particles gain kinetic energy and move faster, which causes them to collide with the walls of the container more frequently and with greater force. This increase in collision frequency and force results in an increase in pressure, as described by the ideal gas law.

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Option( A) It maintains the same speed, (B) It continues in the same direction and option ( E) It has zero acceleration  is true about a car with constant velocity.

Constant velocity refers to a state of motion where an object moves in a straight line at a constant speed. In other words, an object that moves at a constant velocity has a consistent speed and direction of motion.

It's important to note that constant velocity does not mean that the object is stationary or moving at a slow speed. It simply means that the object is moving at a constant speed in a straight line without changing direction.

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The result from conversion 1.077 moles of magnesium phosphate to mass in grams is 283.14 grams. The molar mass of magnesium phosphate is 262.9 g/mol.

Formula:

[tex]\boxed{\tt g=n\times Mr}[/tex]

Given:

Therefore,

First, calculate the molar mass of Mg₃(PO₄)₂.

Second, calculate mass of Mg₃(PO₄)₂.

So, 1.077 moles of magnesium phosphate correspond to 283.14 grams of magnesium phosphate.

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The mass could vary within the range of 15.00 - 15.04 g. So, the correct option is B.

When a measurement is made, there is always some level of uncertainty associated with it due to limitations in the precision of the instrument being used or other factors. The level of uncertainty can be expressed using the significant figures of the measurement. In this case, the mass is recorded to two decimal places, so the uncertainty is typically assumed to be ±0.01 g.

Therefore, the range of possible values for the mass would be 15.02 ± 0.01 g, or 15.01 - 15.03 g. Option a is the closest range to this value. It's important to keep in mind that the range of uncertainty may be larger or smaller depending on the instrument used and the level of precision required for a particular application.

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