a 900 w carbon-dioxide laser emits light with a wavelength of 10μm into a 3.0-mm-diameter laser beam.

Answer:

B

Explanation:

Pressure is directly proportional to temperature

The graph correctly showing the pressure - temperature relationship is figure B. Temperature and pressure is in direct proportionality.

According to Gay-Lussacs law, at constant volume of gases, the pressure of a gas is directly proportional to the temperature. Thus we can write it as:

P/T = a constant.

Gay-Lussacs law is supportive of kinetic molecular theory. As per kinetic theory of gases, as the temperature increases, kinetic energy of particles increases results in forceful collisions of energetic particles to the wall of container and in between them.

Therefore, the temperature - pressure graph will show a linear relationship.  The figure B represents a linear curve and hence it shows the correct relation.

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The expected initial pH for Buffer 1 and Buffer 2 is 4.54 and 4.94 respectively.

Buffer 1 is made of Acetate buffer and buffer 2 is made of Acetate buffer as well. We know the volume and concentration of the acid and salt in both buffers. The expected initial pH of Buffer 1 and Buffer 2 can be calculated using the Henderson-Hasselbalch equation. The Henderson-Hasselbalch equation is given as: pH = pKa + log {[A-]/[HA]}where[A-] is the concentration of the salt (NaC2H2O2),[HA] is the concentration of the acid (HC2H2O2),pKa is the acid dissociation constant of the acid (HC2H2O2).

Buffer 1: HC2H2O2 + H2O ⇔ C2H2O2- + H3O+No. of moles of HC2H2O2 = 0.10 M x 0.015 L = 0.0015 mol. No. of moles of NaC2H2O2 = 0.10 M x 0.01 L = 0.001 mol. Total volume = 0.015 L + 0.01 L = 0.025 L[HA] = 0.0015 mol/ 0.025 L = 0.06 M[A-] = 0.001 mol/0.025 L = 0.04 M. The pKa for HC2H2O2 is 4.76pH = 4.76 + log {[0.04]/[0.06]}= 4.76 - 0.22 = 4.54Thus, the expected initial pH for Buffer 1 is 4.54.

Buffer 2: HC2H302 + H2O ⇔ C2H3O2- + H3O+No. of moles of HC2H302 = 0.50 M x 0.01 L = 0.005 molNo. of moles of NaC2H2O2 = 0.50 M x 0.015 L = 0.0075 mol. Total volume = 0.01 L + 0.015 L = 0.025 L[HA] = 0.005 mol/ 0.025 L = 0.20 M[A-] = 0.0075 mol/0.025 L = 0.30 M. The pKa for HC2H302 is 4.76pH = 4.76 + log {[0.30]/[0.20]}= 4.76 + 0.18 = 4.94Thus, the expected initial pH for Buffer 2 is 4.94.

Therefore, the expected initial pH for Buffer 1 and Buffer 2 is 4.54 and 4.94 respectively.

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Answer: d) The volume occupied by the molecules themselves is no longer negligible. This most be the answer because a, b and c don't make any sense at all.

Explanation:

The volume occupied by the molecules themselves is no longer negligible. Hence, option D is correct.

The ideal gas law (PV = nRT) relates the macroscopic properties of ideal gases. An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).

The ideal gas law fails at low temperature and high pressure because the volume occupied by the gas is quite small, so the inter-molecular distance between the molecules decreases.

Hence, the volume occupied by the molecules themselves is no longer negligible.

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Answer:

oxygen

Explanation:

plants and animals use oxygen

Answer:

decreases

Explanation:

Gravirational force is directly proportional to the mass and inversely proportional to the distance.(Newton's law of gravitation)

Answers:

Most of the world’s energy comes from what three sources?

Oil, coal, and gas.

These energy sources are called fossil fuels and they are non-renewable resources.

Fuel type: oil

How it's formed: from the remains of ancient marine organisms

Its uses: transportation, industrial power, heating and lighting, lubricants, petrochemical industry, and use of by-products

Fule type: coal

How it's formed: when dead plant matter decays into peat and is converted into coal by the heat and pressure of deep burial

Its uses: electricity generation, metal production, cement production, chemical production, gasification, and other industrial uses

Fuel type: gas

How it's formed: decomposed organic matter mixed with mud, silt, and sand on the seafloor

Its uses: heating & cooling buildings, cooking foods, fueling vehicles, and electricity generation

Answer:

Static Electricity

Explanation:

Answer:

static electricity

Explanation:

From 250.0 g of [tex]SO_{2}[/tex], approximately -772.44 kJ of heat is produced, and approximately 24.21 g of [tex]SO_{3}[/tex] are produced when the observed enthalpy change is -75.0 kJ.

To calculate the heat produced from a given amount of [tex]SO_{2}[/tex]and the grams of [tex]SO_{3}[/tex] produced when the observed enthalpy change is given, we need to use the stoichiometry and molar masses of the compounds involved.

First, let's calculate the moles of [tex]SO_{2}[/tex]present in 250.0 g:

Molar mass of [tex]SO_{2}[/tex]= 32.07 g/mol + 32.07 g/mol = 64.14 g/mol

Moles of [tex]SO_{2}[/tex]= Mass of [tex]SO_{2}[/tex]/ Molar mass of [tex]SO_{2}[/tex]

= 250.0 g / 64.14 g/mol

≈ 3.897 mol

Using the stoichiometry of the balanced equation, we can determine the moles of [tex]SO_{3}[/tex]produced:

From the balanced equation: 2 mol [tex]SO_{2}[/tex] → 2 mol [tex]SO_{3}[/tex]

So, 3.897 mol [tex]SO_{2}[/tex]→ (3.897 mol [tex]SO_{3}[/tex]/ 2 mol [tex]SO_{2}[/tex]) = 1.9485 mol [tex]SO_{3}[/tex]

Next, let's calculate the heat produced using the given enthalpy change:

Heat produced = Moles of [tex]SO_{2}[/tex]* ΔH

Heat produced = 3.897 mol [tex]SO_{2}[/tex]* (-198.2 kJ/mol)

≈ -772.44 kJ

Therefore, approximately -772.44 kJ of heat are produced from 250.0 g of [tex]SO_{2}[/tex].

Finally, let's calculate the grams of [tex]SO_{3}[/tex]produced when the observed enthalpy change is -75.0 kJ:

Given ΔH = -75.0 kJ

Moles of [tex]SO_{3}[/tex]= ΔH / ΔH for the balanced equation

= -75.0 kJ / (-198.2 kJ/mol)

≈ 0.3782 mol

Using the molar mass of [tex]SO_{3}[/tex]:

Molar mass of [tex]SO_{3}[/tex] = 32.07 g/mol + 16.00 g/mol + 16.00 g/mol = 64.07 g/mol

Grams of [tex]SO_{3}[/tex]= Moles of [tex]SO_{3}[/tex]* Molar mass of [tex]SO_{3}[/tex]

= 0.3782 mol * 64.07 g/mol

≈ 24.21 g

Therefore, approximately 24.21 g of are produced when the observed enthalpy change is -75.0 kJ.

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The complete question is:

Given a thermochemical equation: 2SO2 (g) + O2 (g) --> 2SO3 (g), ΔH=-198.2 kJ . How many kJ of heat are made from 250.0 g SO2? . How many grams of SO3 (g) are produced when the observed enthalpy change is -75.0 kJ? Report all answers to 3 significant figures and include signs (where appropriate) and units.

Answer:

[tex]2.18\%[/tex]

Explanation:

Volume of isopropyl alcohol = 24 mL

Volume of water = 1.1 L

Percentage of isopropyl alcohol is given by

[tex]\dfrac{\text{Volume of isopropyl alcohol}}{\text{Volume of isopropyl alcohol+Volume of water}}\times 100\\= \dfrac{24\times 10^{-3}}{1.1+2.4\times 10^{-3}}\times 100\\ =2.18\%[/tex]

The percent by volume of isopropyl alcohol in the given solution is [tex]2.18\%[/tex].

The elements in the human body tend to be located in different regions of the periodic table. This is because the human body is made up of a wide range of elements, each with its own properties, uses, and functions. Overall, the elements in the human body tend to be located in different regions of the periodic table depending on their properties and functions.

Most of these elements are found in the first four rows of the periodic table, which are also known as the main group elements. These elements include hydrogen, carbon, nitrogen, oxygen, phosphorus, and sulfur, which are all essential for life. They are located in different regions of the periodic table, with hydrogen in the first row, carbon and nitrogen in the second row, oxygen in the third row, and phosphorus and sulfur in the fourth row. Other important elements in the human body include sodium, potassium, calcium, magnesium, iron, and zinc, which are located in the lower regions of the periodic table. Overall, the elements in the human body tend to be located in different regions of the periodic table depending on their properties and functions.

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Explanation:

List of All Elements That Are Nonmetals

Hydrogen (sometimes)

Carbon.

Nitrogen.

Oxygen.

Phosphorus.

Sulfur.

Metals:-

Gold.

Silver.

Iron.

Copper.

Nickel.

Aluminum.

Mercury( Liquid metal)

Titanium.

Fluorine.

Answer:

By Bayer process.

Explanation:

In the Bayer process, bauxite ore is heated in a pressure vessel along with a sodium hydroxide solution (caustic soda) at a temperature of 150 to 200 °C. At these temperatures, the aluminium is dissolved as sodium aluminate (primarily [Al(OH)4]−) in an extraction process.

Answer:

butter and water don't mix because water is polar and butter is nonpolar

Explanation:

for them to be able to mix they would need to be both polar or both nonpolar.

To compute the flux of [tex]F(x, y, z) = x^3 i + y^3 j + z^3 k[/tex] over the surface Σ of the sphere [tex]x^2 + y^2 + z^2 = 9[/tex] using the Divergence Theorem, set up and evaluate the triple integral in spherical coordinates:Flux = ∫₀²π ∫₀ᴨ ∫₀³ ([tex]3p^4[/tex] sin(φ)) dρ dθ dφ

To compute the flux of the vector field [tex]F(x, y, z) = x^3 i + y^3 j + z^3 k[/tex] over the surface Σ, which is the surface of the sphere [tex]x^2 + y^2 + z^2 = 9[/tex], we can apply the Divergence Theorem.

The Divergence Theorem states that the flux of a vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface.

First, let's calculate the divergence of F:

div(F) = (∂/∂x)([tex]x^3[/tex]) + (∂/∂y)(y^3) + (∂/∂z)([tex]z^3[/tex])

= [tex]3x^2 + 3y^2 + 3z^2[/tex]

Now, we need to set up the triple integral using spherical coordinates.

In spherical coordinates, the volume element is given by [tex]dV = P^2[/tex] sin(φ) dρ dθ dφ, where ρ is the radial distance, θ is the azimuthal angle, and φ is the polar angle.

The surface Σ represents the boundary of the volume enclosed by the sphere. In spherical coordinates, the equation of the sphere [tex]x^2 + y^2 + z^2 = 9[/tex]becomes [tex]p^2 = 9[/tex].

The unit outward normal vector on the surface of the sphere can be expressed as n = (ρ/3)p, where p is the unit vector in the radial direction.

Using the Divergence Theorem, the flux (F · n) over the surface Σ is equal to the triple integral of the divergence of F over the volume enclosed by Σ:

Flux = ∭V (div(F)) dV

= ∭V ([tex]3p^2[/tex]) dV

= ∫₀²π ∫₀ᴨ ∫₀³ (3[tex]p^2[/tex]) [tex]p^2[/tex] sin(φ) dρ dθ dφ

Here, the limits of integration are as follows:

ρ: 0 to 3

θ: 0 to 2π

φ: 0 to π

Now, we can calculate the flux by evaluating the triple integral:

Flux = ∫₀²π ∫₀ᴨ ∫₀³ ([tex]3p^4[/tex] sin(φ)) dρ dθ dφ

Evaluating this triple integral will give us the flux of the vector field F over the surface Σ.

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Answer:

Gaseous nitrogen has unique chemical and physical properties that make it suitable for use in food processing. Nitrogen is inert which means it will not react with prepared food materials, which can alter their aromas or flavors. Also, gaseous nitrogen will effectively displace oxygen minimizing oxidation and the growth of microorganisms that cause foods to lose their freshness and deteriorate faster.

Explanation:

Source: https://www.generon.com/using-nitrogen-gas-in-food-packaging/

"Because it deflects oxygen, nitrogen is just a common gas for food packing." Because oxygen will carry moisture, this is critical. Bacteria use oxygen to grow and survive on organic matter. Bacteria find it much harder to develop while as much oxygen as possible is removed.

Food packaging is the process of packaging food. A package provides security, resistance to manipulation, and particular physical, chemical, and even biological requirements.  Food packaging may include a nutrition label and other information about the product being sold.

Bacteria are commonly found, mostly free-living organisms with  one biological cell. They belong to the prokaryotic organisms category. Bacteria, which have been typically a few micrometers long, were one of the first living species to originate on Earth and may be found in practically every ecosystem.

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Answer:

no they dont

Explanation:

The angular spread of the light inside the glass is 132.4° for red light and 132.2° for violet light.

Given data: Red light n_red =1.52Violet light n_violet =1.55. Incident angle i = 28°To find: The angular spread of the light inside the glass.

Solution: The angle of incidence i = 28°The angle of refraction r can be calculated using Snell's law:µ1 sin i = µ2 sin where µ1 is the refractive index of the incident medium (air), µ2 is the refractive index of the refracting medium (glass), i is the angle of incidence, and r is the angle of refraction. For red light,µ1 = 1.0003 and µ2 = 1.52For violet light,µ1 = 1.0003 and µ2 = 1.55.

The angle of refraction can be calculated as follows: Red light: sin r = µ1/µ2 sin i= 1.0003/1.52 × sin 28°= 0.3736r = sin–1 (0.3736) = 22.31°Violet light: sin r = µ1/µ2 sin i= 1.0003/1.55 × sin 28°= 0.3863r = sin–1 (0.3863) = 22.93°The angle of deviation δ for a prism is given by:δ = (µ − 1)A. where µ is the refractive index of the prism and A is the angle of the prism. From the geometry of the prism, the angle of deviation can be related to the angle of incidence and the angle of refraction by the formula:δ = I + r – A where A is the apex angle of the prism.

Since the angle of deviation for red and violet light is the same, we can equate the two expressions for δ to obtain: I + r – A = i’ + r’ – A where i’ and r’ are the angles of incidence and refraction for violet light. Subtracting I + r = i’ + r’ from the above equation, we get: A = (i’ – i) + (r’ – r)Let the angular spread of the light inside the glass be θ. Then,θ = A/2= [(i’ – i) + (r’ – r)]/2For red light: i’ = 180° – 22.31° = 157.69°r’ = 180° – sin–1 (sin r/µ1) = 180° – sin–1 (0.2617/1.0003) = 157.45°θ = [(157.69° – 28.00°) + (157.45° – 22.31°)]/2= 132.41°For violet light: i’ = 180° – 22.93° = 157.07°r’ = 180° – sin–1 (sin r/µ1) = 180° – sin–1 (0.2491/1.0003) = 157.24°θ = [(157.07° – 28.00°) + (157.24° – 22.93°)]/2= 132.19°

Therefore, the angular spread of the light inside the glass is 132.4° for red light and 132.2° for violet light.

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Answer: 46.66 Grams

Explanation:

Credits to jasminealexismacias, Enjoy your CK12

Therefore, after 300.0 seconds, approximately 0.0553 M of N₂O₅ will remain. The correct answer is option b: 0.0553 M.

To determine how much N2O5 will remain after 300.0 seconds, we can use the first-order rate equation:

ln(N₂O₅t/N₂O₅₀) = -kt

Where N₂O₅t is the concentration of N₂O₅ at time t, N₂O₅₀ is the initial concentration of N₂O₅, k is the rate constant, and t is the time.

Substituting the given values:

N₂O₅t = N₂O₅₀ ₓ e^(-kt)

N₂O₅t = 0.150 M * e^(-4.82 x 10⁻³ s⁻¹ ˣ 300.0 s)

N₂O₅t ≈ 0.0553 M

Therefore, after 300.0 seconds, approximately 0.0553 M of N₂O₅ will remain.

The correct answer is option b: 0.0553 M.

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In the circular flow diagram, firms provide goods and services to product markets.

A circular flow diagram is a simplified economic model that demonstrates how money, goods, and services flow between households and firms in an economy. This diagram is divided into two markets: the product market and the factor market. The factor market deals with inputs such as labor, capital, and raw materials, while the product market deals with outputs such as goods and services.What do firms provide to product markets?Firms are companies or businesses that generate goods or services. In the circular flow diagram, firms produce goods and services that are sold in the product market. Firms sell products to product markets. This process generates revenue for the firms, which they utilize to pay for inputs such as labor and raw materials.

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Pretty sure the answer is D.

Answer:

There are 2 moles of oxygen molecules; there are 4 moles of oxygen atoms.

Explanation:

In short, the Rydberg equation and the Bohr equation are two different forms of the same fundamental relationship, describing the behavior of energy levels and wavelengths in hydrogen or hydrogen-like systems.

What is Rydberg Equation ?

The Rydberg equation is an empirical relationship equation expressed by Balmer and Rydberg.

The Rydberg equation and the Bohr equation are closely related and can be considered different forms of the same mathematical expression. Let's explore them and compare their similarities.

Rydberg equation:

The Rydberg equation is an empirical formula that describes the wavelengths of spectral lines emitted or absorbed by hydrogen or hydrogen species. Is given:

1/λ = R* (1/n₁2 - 1/n₂2)

where λ is the wavelength of emitted or absorbed light, R is the Rydberg constant, and n1 and n₂ are integers representing the principal quantum numbers of the respective energy levels.

Bohr equation:

Bohr's equation, derived from Bohr's model of the hydrogen atom, relates the energy levels of an electron in a hydrogen-like atom to its principal quantum number. Is given:

E = -13.6 eV/n2

where E is the energy of the electron, -13.6 eV is the ionization energy of hydrogen, and n is the principal quantum number.

Now let's compare the two equations:

1/λ = R * (1/n₁2 - 1/n₂2) (Rydberg equation)

E = -13.6 eV/n² (Bohr equation)

We can observe that the Bohr equation gives the energy of the electron in terms of the principal quantum number, while the Rydberg equation gives the wavelength of light emitted or absorbed in terms of the principal quantum numbers.

We can use the relationship between energy and wavelength to make the connection between these two equations:

E = h*c/A

where h is Planck's constant and c is the speed of light.

Combining this relation with the Bohr equation, we have:

-13.6 eV / n² = h * c / λ

Rearranging the equation:

1/λ = (-13.6 eV / n²) / (h * c)

By comparing this equation with the Rydberg equation, we can see that the term (-13.6 eV / n²) / (h * c) is equivalent to the Rydberg constant R. Therefore, we can rewrite the equation as:

1/λ = R* (1/n₁2 - 1/n₂2)

This shows that the Rydberg equation and the Bohr equation are practically the same, just expressed in slightly different forms. The Rydberg constant R in the Rydberg equation includes the constant terms such as the ionization energy, Planck's constant, and the speed of light present in the Bohr equation.

In short, the Rydberg equation and the Bohr equation are two different forms of the same fundamental relationship, describing the behavior of energy levels and wavelengths in hydrogen or hydrogen-like systems.

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We can use the concentration of OH- to calculate the pH of the solution. pOH = -log [OH-]= -log (5.87 × 10^-4)= 3.23pH + pOH = 14pH = 14 - 3.23= 10.77. Therefore, the pH of the solution is 10.77.

To calculate the pH of a solution that is 0.16 M NH3 and 0.22 M NH4Cl, we need to use the Kb expression of NH3.Kb = [NH4+][OH-]/[NH3]. The reaction between NH3 and H2O produces NH4+ and OH-.NH3 + H2O ⇌ NH4+ + OH-In this reaction, one NH3 molecule produces one NH4+ ion and one OH- ion, so the concentration of OH- will be equal to the concentration of NH4+.

Therefore,[NH4+] = 0.22 M[OH-] = 0.22 M. We know that the concentration of NH3 is 0.16 M. To calculate the concentration of OH-, we can use the Kb expression. Kb = [NH4+][OH-]/[NH3]1.79 × 10^-5 = (0.22) (0.22)/0.16[OH-] = 5.87 × 10^-4 M. Now, we can use the concentration of OH- to calculate the pH of the solution. pOH = -log [OH-]= -log (5.87 × 10^-4)= 3.23pH + pOH = 14pH = 14 - 3.23= 10.77. Therefore, the pH of the solution is 10.77.

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Answer:

BECAUSE OF DENSITY

Explanation:

Answer:

It's DENSITY

Explanation:

YOURE WELCOME

The number of such relations will be 2n - 2. Hence, the correct option is 2n - 2.

a and b are distinct elements of S. We need to find out how many relations R are there on S such that no ordered pair in R has a as its first element or b as its second element.So, the number of relations R on S such that no ordered pair in R has a as its first element or b as its second element is:2n - 2Note: There are n2 ordered pairs in S × S and out of them, n pairs have the first element a and n pairs have the second element b. These n + n ordered pairs must not be present in R, reducing the number of ordered pairs that may or may not be present in R by 2n. Therefore, the number of such relations will be 2n - 2. Hence, the correct option is 2n - 2.

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1-hexanol, 2-hexanol, and 3-hexanol are chiral because they possess a chiral center. 2-methylpentanol is achiral because it lacks a chiral center.

To determine which isomeric alcohols with the molecular formula C₆H₁₄O are chiral and which are achiral, we need to examine their structural features, specifically the presence or absence of a chiral center.

A chiral center is a carbon atom bonded to four different substituents, resulting in non-superimposable mirror images. If a molecule has a chiral center, it is chiral; otherwise, it is achiral.

Let's examine the structural isomers of C₆H₁₄O

1-Hexanol (CH₃(CH₂)₄OH)

This molecule contains a chiral center at the carbon atom bonded to the hydroxyl group (OH). Since it has four different substituents (CH₃, CH₂, CH₂, and H), 1-hexanol is chiral.

2-Hexanol (CH₃CH₂CH(OH)CH₂CH₃)

This molecule also contains a chiral center at the carbon atom bonded to the hydroxyl group (OH). It has four different substituents (CH₃, CH₂, CH₂, and CH₃), making 2-hexanol chiral.

3-Hexanol (CH₃CH₂CH₂(OH)CH₂CH₃)

Similarly, this molecule contains a chiral center at the carbon atom bonded to the hydroxyl group (OH). It has four different substituents (CH₃, CH₂, CH₂, and CH₃), making 3-hexanol chiral.

2-Methylpentanol (CH₃CH(CH₃)CH₂CH₂OH)

In this molecule, there is no chiral center present since the carbon atom bonded to the hydroxyl group (OH) is also bonded to two identical methyl groups (CH₃). Therefore, 2-methylpentanol is achiral.

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The half-life for this reaction is approximately 2.56 seconds.

Approximately 0.014 M of I₂ will remain after 5.12 s, assuming no recombination of iodine atoms to form I₂.

(a) The half-life of a first-order reaction can be calculated using the equation:

t₁/₂ = (0.693) / k

Given that the rate constant (k) is 0.271 s⁻¹, we can substitute this value into the equation:

t₁/₂ = (0.693) / 0.271 = 2.56 s

(b) To determine the remaining amount of I₂ after 5.12 s, we can use the first-order integrated rate equation:

[tex][A] = [A_{0} ]* e^{(-kt)}[/tex]

Where [A] is the concentration at time t, [A₀] is the initial concentration, k is the rate constant, and e is the base of natural logarithm.

Given [A₀] = 0.050 M, k = 0.271 s⁻¹, and t = 5.12 s, we can calculate:

[A] = 0.050 * e^(-0.271 * 5.12)

[A] = 0.050 * e^(-1.387)

[A] = 0.014 M

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Answer:

See explanation

Explanation:

The postulates of the kinetic theory of matter are;