Chemistry Assertion and Reasoning
B) Assertion and Reasoning Direction: in the following questions, a statement followed by a statement of reason (R).

Mark the correct choice as:

(A) Both Assertion (a) And Reason (R) Are true and Reason (R) Is thd correct explanation of assertion (A)

(B) Both Assertion (A) And reason ( R) Are true but Reason (R) Is not correct explanation of assertion (A)

(C) Assertion (A) is true but reason ( R) is false

(D) Assertion (A) is false but reason (R) is true


Assertion: Calcium And Argon are isobars

Reason: Calcium And Argon Have Same Mass Numbers

Assertion: the number of valence electrons in oxygen atoms is 6

Reason: the valency of Oxygen atom is 6

Assertion: most of the Alpha Particles in Rutherfords experiment passed straight through gold foil

Reason: The Centre Of The Atom Is Positively Charged


Answer ASAP PLEASE!​

The change in mass of the Zn electrode is, y = (x * molar mass of Zn) / molar mass of Cu.

The reaction in the cell involves the transfer of electrons from zinc (Zn) to copper (Cu). The net ionic equation for the reaction is:

Cu²⁺ + Zn --> Cu + Zn²⁺

During the reaction, the mass of the Cu electrode decreases due to the loss of Cu^2+ ions, while the mass of the Zn electrode increases due to the gain of Zn^2+ ions. The change in mass of the Zn electrode can be related to the change in mass of the Cu electrode using the stoichiometry of the reaction.

From the net ionic equation, we can see that for every Zn atom oxidized (loses electrons), one Cu^2+ ion is reduced (gains electrons). Therefore, the moles of Cu lost must be equal to the moles of Zn gained. We can use the molar mass of Cu and Zn to relate the change in mass of the Cu electrode (x grams) to the change in mass of the Zn electrode (y grams) as follows,

moles of Cu lost = moles of Zn gained

(x grams of Cu) / (molar mass of Cu) = (y grams of Zn) / (molar mass of Zn)

Solving for y, the change in mass of the Zn electrode is:

y = (x * molar mass of Zn) / molar mass of Cu

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Answer:

a) Tripling the concentration of a reactant increases the rate of a reaction nine times.the order of the reaction with respect to that reactant is 2

b)Increasing the concentration of a reactant by a factor of four increases the rate of a reaction four times.the order of the reaction with respect to that reactant is 1.

Explanation:

a) The order of the reaction with respect to that reactant is 2. The rate law of the reaction with the stoichiometric coefficients a, b, and c would be as follows:

rate = k[A]^x[B]^y[C]^z

Where k is the rate constant and x, y, and z are the orders of the reaction with respect to the corresponding reactants. When [A] is tripled, the rate increases nine times, indicating that the rate is proportional to [A]^2. Therefore, the order of the reaction with respect to [A] is 2.

b) The order of the reaction with respect to that reactant is 1. The rate law of the reaction with the stoichiometric coefficients a, b, and c would be as follows:

rate = k[A]^x[B]^y[C]^z

When [A] is quadrupled, the rate increases four times, indicating that the rate is proportional to [A]. Therefore, the order of the reaction with respect to [A] is 1.

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0.566 moles of hydrogen iodide will be formed upon the complete reaction of 0.283 moles of hydrogen gas with excess iodine.

To determine how many moles of hydrogen iodide will be formed, we need to use stoichiometry.

The balanced chemical equation for the given reaction is:-

H₂ (g) + I₂ (s) → 2HI (g)

From the balanced chemical equation, we know that 1 mole of hydrogen reacts with 1 mole of iodine to produce 2 moles of hydrogen iodide.

Since the number of moles of hydrogen is given as 0.283 moles, therefore, the number of moles of iodine required is also 0.283 moles.

Therefore, the number of moles of hydrogen iodide formed = 2 x 0.283 mol= 0.566 mol.

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(A) BF3 is the compound having atoms that are missing one or more of their octets.

According to the octet rule, atoms typically link together in molecular structures so that each atom has eight electrons in its outermost valence shell. There are, however, several exceptions to this rule. One such example is boron trifluoride (BF3). Boron can only form three bonds since it only possesses three valence electrons. In BF3, boron makes three covalent connections with three fluorine atoms, giving rise to six rather than the anticipated eight electrons in the outer shell of the atom. As a result, boron in BF3 has an unfinished octet. Since the atoms in such compounds are not quite content with their electron arrangement, they are more prone to engage in chemical processes in order to complete their octets.

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The percent by weight of acetic acid in the vinegar is  3.27% for the given 5.54-g sample of vinegar was neutralized by 30.10 ml of 0.100 m NaOH.

Vinegar is a solution of acetic acid, HC₂H₃O₂, dissolved in water. A 5.54-g sample of vinegar was neutralized by 30.10 mL of 0.100 M NaOH. Find the percentage of acetic acid by weight in vinegar. As per the question, vinegar is a solution of acetic acid, HC₂H₃O₂, dissolved in water.

A 5.54-g sample of vinegar was neutralized by 30.10 mL of 0.100 M NaOH.

Since NaOH and HC₂H₃O₂ reacts in a 1:1 molar ratio, moles of NaOH used = moles of HC₂H₃O₂ in vinegar

So,0.100 mol/L solution of NaOH = 0.100 mol/L solution of HC₂H₃O₂ in vinegar (as they react in 1:1 ratio).

Also, Volume of NaOH = 30.10 mL = 30.10/1000 = 0.0301L

Thus, Amount of HC₂H₃O₂ in vinegar = 0.100 mol/L × 0.0301 L = 0.00301 mol.

Molar mass of HC₂H₃O₂ = 60.05 g/mol.

Weight of HC₂H₃O₂ in 5.54 g vinegar = 0.00301 mol × 60.05 g/mol = 0.18086 g.

Percentage by weight of acetic acid in the vinegar = 0.18086 / 5.54 × 100 = 3.27%.

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When the pH of a solution is given and the solution is of a weak acid, you can use the pH to find the percent ionization.

The percent ionization for a weak acid is calculated by the formula:

% ionization = Ka / [HA] x 100.

Ka is the acid dissociation constant, and [HA] is the initial concentration of the weak acid. In this case, we have nitrous acid (HNO2), which is a weak acid with a dissociation constant of 4.5 x 10⁻⁴.

To calculate the percent ionization of a 0.125 M solution of nitrous acid (HNO2) with a pH of 2.0, we can first use the pH to find the concentration of H+ in the solution,

then use that to calculate the concentration of HNO2 (the weak acid), and finally use both of those values to calculate the percent ionization. Step-by-step explanation:

From the pH, we know that: pH = -log[H+]. Rearranging this equation gives us: [H+] = 10⁻⁴ pH. Plugging in the pH of 2.0, we get: [H+] = 10⁻².0 = 0.01 M. Since HNO2 is a weak acid, it does not dissociate completely in the solution.

Instead, it dissociates according to the equation:

HNO₂ + H₂O ↔ H₃O+ + NO₂⁻.

The equilibrium constant expression for this reaction is Ka = [H3O+][NO2-] / [HNO2]. Since HNO2 is a weak acid, we can assume that it does not dissociate completely, so the concentration of HNO2 at equilibrium will be equal to the initial concentration.

Therefore, we can simplify the expression to Ka = [H3O+]² / [HNO2].

Rearranging this equation gives us: [HNO2] = [H3O+]² / Ka. Plugging in the values we found above, we get [HNO2] = (0.01 M)² / 4.5 x 10⁻⁴ = 0.222 M.

Now we can use both the concentration of HNO2 and the dissociation constant to calculate the percent ionization using the formula: % ionization = Ka / [HA] x 100.

Plugging in the values we found above, we get % ionization = 4.5 x 10⁻⁴ / 0.125 M x 100 = 0.36%.

Therefore, the percent ionization of a 0.125 M solution of nitrous acid (HNO2) with a pH of 2.0 is 0.36%.

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Answer:

D

Explanation:

I had this question before :)

Answer:

The meltdown in which of the following structures at a nuclear power plant, such as Chernobyl, would most likely lead to the accidental release of radiation is reactor core. Answer:e

Explanation:

What is the Chernobyl nuclear disaster?

The Chernobyl nuclear disaster was a catastrophic nuclear accident that occurred on April 26, 1986, at the No. 4 reactor in the Chernobyl Nuclear Power Plant, located in the northern Ukrainian Soviet Socialist Republic.

The explosion and subsequent fires resulted in the release of significant amounts of radioactive material into the atmosphere, as well as widespread contamination of the environment.

What was the cause of the Chernobyl nuclear disaster?

During a reactor systems test, an unforeseen combination of factors caused the core of one of Chernobyl's reactors to overheat and explode, releasing radioactive material into the surrounding area. The resulting steam explosion and fires killed two plant workers at the time of the accident and injured hundreds of others.

The explosion also resulted in the deaths of dozens of firefighters and other emergency workers in the aftermath of the disaster.

What was the impact of the Chernobyl nuclear disaster on the environment?

The Chernobyl nuclear disaster resulted in the release of significant quantities of radioactive material, including iodine-131 and cesium-137, which have been linked to a variety of environmental issues. These substances are still present in the environment, and their long-term effects on humans and wildlife are still being investigated.

However, the disaster has had a significant impact on the environment in the years following the accident, including the contamination of water and soil, the displacement of wildlife, and the potential long-term health effects on local populations.

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The percent recovery is the ratio of the actual amount of the desired substance to the original amount present. The total percent recovery can be calculated by using the formula given below.

The units and the correct significant digits should be used in the calculation. We expect that the percent recovery will be less than 100 % for this experiment because of the loss of product due to impurities or mistakes in the experimental procedure. For example, if the product is left on the filter paper while washing, then the actual yield will be less than the theoretical yield.

Calculate the total percent recovery. show calculation with units and correct significant digits. The percent recovery formula is:

Percent recovery = Actual yield ÷ Theoretical yield × 100%

Given, Actual yield = 70 theoretical yield = 80

percentage recovery = Actual yield ÷ Theoretical yield × 100 %

Percentage recovery = 70 ÷ 80 × 100 %

Percentage recovery = 0.875 × 100 %

Percentage recovery = 87.5 %

Therefore, the total percent recovery is 87.5 % with the correct significant digits. Why do we expect that the percent recovery will be less than 100 % for this experiment? We expect that the percent recovery will be less than 100 % for this experiment because of the loss of product due to impurities or mistakes in the experimental procedure.

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Answer:

43.1gramms

Explanation:

change the temperatures to kelvin

90--363

40--313

50grams of water are saturated at 90 degree celcius.

then,

50___363

x_____313

then cross multiply

363x=15650

divide both sides by 363

x=43.1gramms

Answer:

Explanation:

To calculate the standard enthalpy of formation for TICL(I), we need to use the given thermochemical equations and Hess's law. The equation for the formation of TICL(I) is:

C(s) + TiO₂ (s) + 2Cl(g) → TICL(I) + CO(g)

Using the given equations for the formation of CO(g) and TiO2(s), we can manipulate them to get the necessary reactants for the formation of TICL(I):

Ti(s) + O₂(g) → TiO₂(s) (reverse the equation)

C(s) + 1/2O₂(g) → CO(g) (multiply by 2)

Adding these two equations, we get:

Ti(s) + 2C(s) + O₂(g) → TiO₂(s) + 2CO(g)

This equation is the reverse of the equation given for the formation of TICL(I), so we need to flip its sign to get the correct value for the enthalpy change:

TICL(I) → C(s) + TiO₂ (s) + 2Cl(g) + CO(g)

ΔH° = -(-394 kJ/mol + 286 kJ/mol + 0 + (-221 kJ/mol))

ΔH° = -(-329 kJ/mol)

ΔH° = +329 kJ/mol

Therefore, the correct value for the standard enthalpy of formation for TICL(I) is +329 kJ/mol, which is option D.

(a) Methane -the molecular shape is tetrahedral shape.

(b) Ammonia - the molecular shape is trigonal pyramidal.

(c) Sulfur trioxide -  the molecular shape is trigonal planar shape.

(d) Water -  the molecular shape is bent shape.

(e) Carbon dioxide - the molecular shape is a linear shape.

Molecular shape refers to the three-dimensional arrangement of atoms in a molecule. It describes the relative positions of the atoms and the angles between the chemical bonds that connect them.

The shape of a molecule is determined by the arrangement of its electrons and the way in which the atoms share these electrons to form chemical bonds. The shape of a molecule can have a significant impact on its physical and chemical properties, such as its polarity, reactivity, and solubility.

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The ability of an atom during bond formation to attract electrons from its bonding partner is called electronegativity. The higher the electronegativity of an atom, the stronger its electron-attracting ability.

Let's understand this in detail:

Electronegativity is the power of an atom or molecule to attract electrons to itself in a covalent bond. An atom's electronegativity is influenced by its atomic number, the number of protons in the atom's nucleus.

The electronegativity of an atom is higher when its valence shell is nearly empty or nearly full.

Electronegativity increases from left to right across a period because of the increasing effective nuclear charge, which is the force of attraction between the positively charged atomic nucleus and the negatively charged electrons.

Electronegativity decreases down a group due to the increasing distance between the valence electrons and the positively charged nucleus.

Francium has the lowest electronegativity, while fluorine has the highest electronegativity.

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Answer: Does temperature affect the rate of dissolving a substance in water?

The carbon that is attached to the oxygens in CH₃COOH (acetic acid) is sp2 hybridized. This is because it is attached to three atoms (one oxygen and two hydrogens) and has a trigonal planar geometry.

The molecule with the greatest dipole moment is CH₂Cl₂(dichloromethane) because it has a tetrahedral geometry and the two C-Cl bonds are oriented in opposite directions, creating a net dipole moment. The other molecules (CCl₄, CF₄, and Br₂CCl₂) are all symmetric and have zero dipole moment.

A chemical concept known as hybridization describes the bonding and geometry of molecules. It entails combining atomic orbitals to create hybrid orbitals, which can more accurately capture the bonding in a molecule. The number of hybrid orbitals formed is equal to the number of atomic orbitals combined. Atomic orbitals with similar energy levels are merged to create the hybrid orbitals. An atom's geometry, bond angles, and polarity can all be impacted by hybridization, which can then have an impact on the molecule's reactivity and physical characteristics. Foreseeing the forms and characteristics of molecules as well as explaining their chemical behaviour requires an understanding of atom hybridization.

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To prepare 15 ml of a 0.25 M CaCl₂ solution using deionized water and CaCl₂ salt, the following steps must be followed.

1. Calculate the amount of CaCl₂ salt needed:
Moles = Molarity * Volume (L)

Moles = 0.25M x 0.015L = 0.003750 moles

Mass of CaCl₂ salt = 0.003750 x 110.98 g/mol = 0.41637 g

2. Measure out 0.41637 g of CaCl₂ salt and add it to a clean beaker.

3. Measure out 15 ml of deionized water and add it to the beaker with the CaCl₂ salt.

4. Stir the mixture until the CaCl₂ salt has fully dissolved.

5. The solution is now ready to use.

It is important to remember to use caution when handling and measuring the chemicals and to always wear safety goggles and gloves when working with chemicals.

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Answer:

True.

The manipulated variable and the independent variable refer to the same thing in an experiment. It is the variable that is intentionally changed or manipulated by the experimenter to observe its effect on the dependent variable.

The idea of punctuated equilibrium asserts that some evolutionary changes may not even involve intermediate forms.

The idea of punctuated equilibrium is a theory in evolutionary biology that proposes that most evolutionary changes occur relatively rapidly, with long periods of stability punctuated by rare instances of rapid evolutionary change.

The theory was first introduced by Niles Eldredge and Stephen Jay Gould in 1972 as a challenge to the traditional Darwinian theory of gradualism, which posits that evolution proceeds slowly and steadily over long periods of time.

According to punctuated equilibrium, some evolutionary changes may not even involve intermediate forms.

There are several examples of punctuated equilibrium in the fossil record, including the Cambrian explosion, which saw the sudden appearance of most major animal phyla in a relatively short period of time, and the rapid diversification of mammals following the extinction of the dinosaurs at the end of the Cretaceous period.

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When you mix baking soda and vinegar, a chemical reaction occurs that produces carbon dioxide gas, water, and a type of salt called sodium acetate.

Before: Before mixing baking soda and vinegar, they are both in their separate states. Baking soda is a white powder, and vinegar is a clear liquid.

During: When you mix the baking soda and vinegar, the baking soda (sodium bicarbonate) reacts with the vinegar (acetic acid) to produce carbon dioxide gas (CO2), water (H2O), and sodium acetate (NaC2H3O2).

After: After the chemical reaction has taken place, you will see bubbles of carbon dioxide gas being released. The solution will also become cloudy as the sodium acetate precipitates out. The resulting mixture may feel warmer due to the exothermic nature of the reaction (meaning it releases heat).

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When the  12. 00 mol Iron react with 6.00 mol O2 then 4.00 mol of Fe3O4 can be produced.

In order to know  how many moles of Fe3O4 can be produced from the reaction of 12.00 mol Fe with 6.00 mol O2, we first need to get balance the chemical equation for the reaction:

4 Fe + 3 O2 -----> 2 Fe3O4

From the balanced equation, we can see that for every 4 moles of Fe that react, we need 3 moles of O2. Therefore, the limiting reactant in this case is O2, since we only have 6.00 mol available, while we need 8.00 mol to react with all 12.00 mol of Fe. This means that Fe will be in excess and we can calculate the amount of Fe3O4 produced based on the amount of O2 that reacts.

To do this, we can use the mole ratio from the balanced equation:

3 mol O2 --------> 2 mol Fe3O4

So, for every 3 moles of oxygen that react, we can produce 2 moles of Fe3O4. Since we have 6.00 mol of O2, we can obtain the moles of Fe3O4 produced as follows:

6.00 mol O2 x (2 mol Fe3O4 / 3 mol O2) = 4.00 mol Fe3O4

Therefore, it can be concluded that 4.00 mol of Fe3O4 can be produced when 12.00 mol Iron reacts with 6.00 mol O2.

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The option that has the correct electron configuration for vanadium is:

A. 1[tex]s^{2}[/tex] 2[tex]s^{2}[/tex] 2[tex]p^{4}[/tex] 3[tex]s^{2}[/tex] 3[tex]p^{6}[/tex] 4[tex]s^{2}[/tex] 3[tex]d^{5}[/tex]

The electron configuration for vanadium (V) is:

1[tex]s^{2}[/tex] 2[tex]s^{2}[/tex] 2[tex]p^{6}[/tex] 3[tex]s^{2}[/tex] 3[tex]p^{6}[/tex] 4[tex]s^{2}[/tex] 3[tex]d^{3}[/tex]

For only the 3d sublevel, the configuration would be 3d3.

So, the option that has the correct electron configuration for vanadium is:

A. 1[tex]s^{2}[/tex] 2[tex]s^{2}[/tex] 2[tex]p^{4}[/tex] 3[tex]s^{2}[/tex] 3[tex]p^{6}[/tex] 4[tex]s^{2}[/tex] 3[tex]d^{5}[/tex]

What is an electron?

An electron is a subatomic particle that carries a negative electric charge. It is one of the fundamental particles that make up atoms, along with protons and neutrons. Electrons are found outside the nucleus of an atom in regions called shells or energy levels, and they are responsible for chemical bonding and the conduction of electricity.

What is vanadium?

Vanadium is a chemical element with the symbol V and atomic number 23. It is a hard, silvery-grey, ductile, and malleable transition metal that is found in various minerals and mineral ores. Vanadium has several important industrial uses, including as an alloying agent in steel and as a catalyst in the production of sulfuric acid. It is also used in the production of titanium alloys for aerospace and other high-performance applications, as well as in the manufacture of rechargeable batteries. Vanadium has biological functions in some organisms and is considered an essential trace element in the human diet.

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An exothermic chemical reaction between a solid and a liquid results in gaseous products. It is a spontaneous reaction.

When a chemical reaction takes place with the release of heat, it is known as an exothermic chemical reaction. An exothermic chemical reaction is a chemical reaction that releases energy in the form of heat, light, or sound during the process. The burning of paper is an example of an exothermic chemical reaction. When paper burns, heat and light are produced, which we can feel or observe.

The reaction is spontaneous if the Gibbs free energy, delta G is negative. A reaction will be spontaneous if its delta G is negative. The reaction will proceed from left to right if delta G is negative, and it will proceed from right to left if delta G is positive. A reaction will be at equilibrium if delta G is zero.The reaction mentioned in the question is an exothermic chemical reaction because it results in the release of heat. As a result, the reaction is spontaneous. The production of gaseous products indicates that a gas is formed during the reaction. Therefore, this reaction is spontaneous.

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When two protons are fired toward each other in a particle accelerator, with only the electrostatic force acting, then their kinetic energy keeps increasing, acceleration keeps decreasing, kinetic energy keeps decreasing, electric potential energy keeps decreasing.

The electrostatic force is a force that arises between electrically charged objects. It is the force exerted on a charged particle by other charged particles or electromagnetic fields. It is a fundamental force in nature that has an infinite range and can be either attractive or repulsive. The strength of the electrostatic force is proportional to the inverse square of the distance between the charged particles. As two charged particles move closer together, the force between them increases. Therefore, as the two protons move closer together, their kinetic energy and electric potential energy will increase.

According to Coulomb's law, the electrostatic force is inversely proportional to the square of the distance between the two charges. Therefore, as the distance between the two protons decreases, the electrostatic force acting between them will increase. As a result, their acceleration will keep decreasing. At the same time, as the protons move closer together, their kinetic energy will keep increasing while their electric potential energy will keep decreasing.

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The weakest base is F-. The series of acids arranged in the decreasing order of their strengths are H1, HBr, HCl, and HF.

Their corresponding conjugate bases arranged in the decreasing order of their strengths are I-, Br-, Cl-, and F-.Thus, F- is the weakest base. It is because the series arranged in the decreasing order of their basic strengths are I-, Br-, Cl-, and F-. The basic strength of the anion decreases from top to bottom of the periodic table due to the decreasing electronegativity of the element to which the anion is attached.

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Answer:91

Explanation:because I am just very smart and this is the answer <3

When NaF is dissolved in water, it undergoes hydrolysis to form Na+ and F- ions. The resulting solution is slightly basic, with a pH slightly greater than 7. The correct answer is C) NaF.

Salts are ionic compounds formed from the reaction between an acid and a base. They are composed of positively charged ions (cations) and negatively charged ions (anions). Salts are typically solid at room temperature and have high melting and boiling points.

When dissolved in water, salts can dissociate into their component ions, allowing them to conduct electricity. Some common examples of salts include table salt (NaCl), baking soda (NaHCO3), and Epsom salt (MgSO4).

When NaF is dissolved in water, it undergoes hydrolysis to form Na+ and F- ions. The F- ions react with water molecules to form HF and OH- ions. The resulting solution is slightly basic, with a pH slightly greater than 7.

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a) The total pressure of the mixture is 434 torr

b) The mass of each gas is, N₂ = 40.56 g, O₂ = 21.76 g, He = 3.20 g

a) The total pressure of the mixture is calculated by adding all the values of partial pressures of the N₂, O₂, and He

215 torrs of N₂ + 102 torr of O₂ + 117 torr of He

= 434 torr

Thus, the total pressure of the mixture is 434 torr

b) The mass of each gas in the 1.35 L sample of the mixture at 25.0 C can be calculated using the ideal gas law: PV = nRT.

The amount of each gas present is equal to the total moles of gas, n, in the sample.

n = (PV)/(RT)

where P is the partial pressure of the gas in the mixture,

V is the volume of the sample (1.35 L),

R is the ideal gas constant (0.08206 L atm mol⁻¹ K⁻¹), and

T is the temperature in Kelvin (298.15 K).

For N₂: n = (215 torr x 1.35 L)/(0.08206 L atm mol⁻¹ K⁻¹ x 298.15 K) = 1.45 moles
For O₂: n = (102 torr x 1.35 L)/(0.08206 L atm mol⁻¹ K⁻¹ x 298.15 K) = 0.68 moles
For He: n = (117 torr x 1.35 L)/(0.08206 L atm mol⁻¹ K⁻¹ x 298.15 K) = 0.80 moles

The mass of each gas is equal to the moles multiplied by the molar mass of the gas:

For N₂: 1.45 moles x 28.01 g/mol = 40.56 g
For O₂: 0.68 moles x 32.00 g/mol = 21.76 g
For He: 0.80 moles x 4.00 g/mol = 3.20 g

Thus, the mass of each gas is, N₂ = 40.56 g, O₂ = 21.76 g, He = 3.20 g.

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For the regular tetrahedron, the exact value of $v^2$ is $\frac{1}{144}$.

The regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle. Let $v$ be the volume of a regular tetrahedron whose sides each have length 1.  A regular tetrahedron is a three-dimensional object with four triangular faces that are congruent. It has four vertices, six edges, and four faces that are equilateral triangles. Let us find the length of height of the tetrahedron using Pythagoras theorem.

$$Height^2=1^2-\left(\frac{1}{2}\right)^2$$

$$\Rightarrow Height^2=1-\frac{1}{4}$$

$$\Rightarrow Height=\frac{\sqrt3}{2}$$

Now, the volume of a tetrahedron is given as,

$$v=\frac{1}{3} \times Area_{base} \times Height$$T

he base of the tetrahedron is an equilateral triangle. We know that the area of an equilateral triangle with side $a$ is,

$$Area=\frac{\sqrt3}{4}a^2$$

For the given tetrahedron, the area of the base is,

$$Area_{base}=\frac{\sqrt3}{4} \times 1^2$$

$$\Rightarrow Area_{base}=\frac{\sqrt3}{4}$$

Now, the volume of the given tetrahedron is,

$$v=\frac{1}{3} \times \frac{\sqrt3}{4} \times \frac{\sqrt3}{2}$$

$$\Rightarrow v=\frac{\sqrt3}{12}$$

Thus, the square of the volume of the given tetrahedron is,

$$v^2=\left(\frac{\sqrt3}{12}\right)^2$$

$$\Rightarrow v^2=\frac{1}{144}$$

Therefore, the exact value of $v^2$ is $\frac{1}{144}$.

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The size of particles has an effect on the rate of dissolving, but temperature is also a significant factor that affects how quickly a solid will dissolve in water. Lowering the temperature slows down the movement.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In simpler terms, it is a measure of how hot or cold something is. The temperature of a substance or system is commonly measured in degrees Celsius (°C) or degrees Fahrenheit (°F), and it can be influenced by various factors such as heat transfer, pressure, and the presence of other substances. Temperature is an important physical property that affects many aspects of daily life, including weather patterns, cooking, and the functioning of electronic devices. It is also a critical factor in many scientific processes, such as chemical reactions, phase transitions, and the behavior of materials at the atomic and molecular level.

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The distance between an electron and the nucleus for an electron in a certain orbit is set in the Bohr model of the atom. According to Bohr's hypothesis, electrons travel in circular orbits around the nucleus at set distances that represent various energy levels.

These orbits are also known as "energy levels" or "stationary states."

For an electron in a certain orbit, the distance between the electron and the nucleus is set in the Bohr model of the atom. In accordance with Bohr's hypothesis, electrons orbit the nucleus in a circle at regular intervals that correspond to various energy levels. Sometimes these orbits are referred to as "energy levels" or "stationary states." The electron's location is instead defined by a probability distribution known as an orbital in more recent quantum mechanical models of the atom, such as the Schrödinger equation. In contrast to the fixed orbits in the Bohr model, an orbital's size and shape can change depending on the energy of the electron and the arrangement of the atoms.

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