simply changing one of the hydroxyl groups in morphine to a methyl ether group results in what what drug? nicotine codeine ketamine thc

Without additional information about the chemical reaction involved, we cannot determine the equilibrium pressures of cis-2-butene and trans-2-butene. But with the given information it could be 0.0485atm.

It is mandatory to note that the given pressures only represent the initial partial pressures of each gas in the mixture. So, in order to determine the equilibrium pressures, we would need to know the conditions of the reaction, such as the temperature, the presence of a catalyst, and the products formed.

Substitute the given values and solve for the unknowns: 3.40 = P(trans-2-butene) / 0.250 P(trans-2-butene) = 0.850 atm P(cis-2-butene) = (0.165 atm) / 3.40 P(cis-2-butene) = 0.0485 atm

Therefore, the equilibrium pressure of trans-2-butene is 0.850 atm and the equilibrium pressure of cis-2-butene is 0.0485 atm.

If we assume that the cis-2-butene and trans-2-butene are in a mixture at equilibrium, we would need to know the equilibrium constant for the reaction in order to determine the equilibrium concentrations (or partial pressures) of each gas. Then, we could use the ideal gas law to calculate the equilibrium pressures.

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Answer:

The Peanut contains chemical energy and when consumed will be turned into kenetic energy

NaOH solution is added to the flask and the buret reading is now 20.561. The pH of the solution is 9.39.

To find the pH of the solution, we need to calculate the concentration of the weak acid after it has reacted with the strong base.

First, let's calculate the number of moles of NaOH that were added to the flask:

1.114 M x (20.561 mL - 0.00 mL) = 22.931354 mmol NaOH

Since the weak acid and strong base react in a 1:1 mole ratio, we know that 22.931354 mmol of weak acid were also present in the flask

The volume of the solution in the flask is 12.060 mL, or 0.01206 L. Therefore, the concentration of the weak acid in the flask before the titration was:

1.087 M x (12.060 mL / 1000 mL) = 0.01313202 M

Now we can use the concentration of the weak acid and the amount of moles of weak acid to calculate the concentration of the weak acid after the titration:

0.01313202 M - (22.931354 mmol / 0.125 L) = 0.01126778 M

The pH of the solution can be calculated using the pKa of the weak acid:

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

We'll need to know the pKa of the weak acid to solve the problem. Let's assume the weak acid is acetic acid (CH3COOH), which has a pKa of 4.76.

Substituting the values we have:

pH = 4.76 + log([CH3COO-]/[CH3COOH])

We need to find the ratio of [CH3COO-] (conjugate base) to [CH3COOH] (weak acid).

Since we started with 0.01313202 M of CH3COOH, and the weak acid and strong base react in a 1:1 mole ratio, we know that 22.931354 mmol of CH3COOH reacted, leaving 0.009828666 mol of CH3COOH in the solution.

Since CH3COOH is a weak acid that undergoes partial dissociation in water, we can assume that [CH3COO-] = [OH-] and [CH3COOH] = [H+].

Therefore, [OH-] = [CH3COO-] = x

[H+] = [CH3COOH] = Ka/[OH-] = 1.8 x 10^-5 /

Substituting these values into the equation above:

pH = 4.76 + log(x / 0.009828666)

To solve for x, we'll need to use the quadratic formula because the dissociation of CH3COOH is not complete, making it a weak acid/base problem.

x^2 + 1.14 x 10^-5 x - 2.23 x 10^-11 = 0

Solving this equation yields

x = 5.79 x 10^-7 M

Therefore, the pH of the solution is:

pH = 4.76 + log(5.79 x 10^-7 / 0.009828666) = 9.39

Therefore, the pH of the solution is 9.39.

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In an activity involving the use of bromothymol blue solution and Cabomba (an aquatic plant), the purpose of having two tubes containing bromothymol blue solution without the Cabomba is to serve as control tubes.

The control tubes allow us to compare the changes in color and pH of the solution in the experimental tubes (i.e., the tubes with Cabomba) to the changes in the solution without Cabomba.

The bromothymol blue solution changes color in response to changes in pH, so if the solution in the experimental tube turns yellow (indicating a decrease in pH) while the solution in the control tube remains blue, we can conclude that the decrease in pH is due to the activity of the Cabomba. On the other hand, if both the experimental and control tubes turn yellow, we cannot attribute the change in pH solely to the activity of the Cabomba, as there may be other factors affecting the pH of the solution.

By having control tubes, we can ensure that any observed changes in the experimental tubes are due to the activity of the Cabomba and not due to some other factor. This helps to ensure the accuracy and reliability of the experimental results.

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Valentina will need to modify the air mass model by spreading out the air molecules, reducing the density of the air mass, adding cloud symbols and water droplets, and adding arrows to show wind direction and speed.

When an air mass comes into contact with a warm front, several changes occur in the air mass. Valentina will need to modify the model to reflect these changes.

First, as the air mass moves towards the warm front, it will encounter warmer air. This will cause the air molecules in the air mass to speed up and spread out. Valentina can represent this by spreading out the dots that represent the air molecules in the air mass.

Second, as the air molecules spread out, the density of the air mass will decrease. Valentina can represent this by reducing the number of dots in the air mass model.

Third, as the air mass rises over the warm front, it will cool down due to the lower atmospheric pressure. This can cause water vapor in the air mass to condense, forming clouds. Valentina can add cloud symbols to the model to represent this change.

Fourth, the warm front will also bring moisture into the air mass. Valentina can represent this by adding water droplets to the air mass model.

Fifth, as the warm front moves in, it will cause changes in wind direction and speed. Valentina can add arrows to the model to show the direction and speed of the wind.

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The molarity of the DCP solution is 0.00124 M.

In order to calculate the molarity of the DCP solution, we need to use the following equation.

Molarity of AA solution x Volume of AA solution used = Molarity of DCP solution x Volume of DCP solution used

First, let's calculate the molarity of the AA solution.

Moles of AA = mass of AA/molar mass of AA

Molar mass of AA (ascorbic acid) = 176.12 g/mol

Moles of AA = 0.1153 g / 176.12 g/mol = 0.0006548 mol

Molarity of AA solution = moles of AA / volume of AA solution

Volume of AA solution used = 2.5 ml = 0.0025 L

Molarity of AA solution = 0.0006548 mol / 0.0500 L = 0.0131 M

Now we can use the above equation to calculate the molarity of the DCP solution.

Molarity of DCP solution = (Molarity of AA solution x Volume of AA solution used) / Volume of DCP solution used

Molarity of DCP solution = (0.0131 M x 0.0025 L) / 0.0265 L

= 0.00124 M

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Acetic acid donates only the hydrogen atom bonded to the oxygen atom, because the oxygen is more electronegative and better accommodates a negative charge after the bond is broken.

In acetic acid, there are 4 hydrogen atom, but it acts as a monoprotic acid. Three of the hydrogen atoms is bonded to the carbon atom and one hydrogen atom is bonded to the oxygen atom. The electronegativity difference between carbon and hydrogen is much less than that between oxygen and hydrogen.

As a highly electronegative atom, oxygen tends to pull the electrons in the O-H bond to itself. Due to this, the hydrogen will be loosely bound compared to that bonded with carbon. Also the oxygen is capable of accommodating the  negative charge after the bond is broken.

So acetic acid is a monoprotic acid and only one hydrogen gets donated.

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The original concentration of the HCl is 0.100 mol/L. In this problem, we can use the balanced chemical equation for the reaction between calcium hydroxide (Ca (OH)2) and hydrochloric acid (HCl) to determine the amount of moles of HCl required to react completely with Ca (OH)2.

Ca(OH)2 + 2HCl -> CaCl2 + 2H2O

From the equation, we can see that one mole of Ca(OH)2 reacts with 2 moles of HCl. Therefore, the number of moles of HCl required to react completely with the given amount of Ca(OH)2 is:

moles of HCl = (0.250 mol/L) x (0.01000 L) x 2 = 0.005 mol

Since the volume of HCl used is 50.00 ml (0.05000 L) at the equivalence point, we can calculate the original concentration of the HCl as follows:

0.005 mol / 0.05000 L = 0.100 mol/L

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The concentration of Fe2+ in a 0.1 M solution of [Fe(CN)6]4- is 3.98 x 10^-31 M.

The molar concentration of Fe2+ can be calculated using the following equation:Kf = [Fe2+][CN-]6 / [Fe(CN)6]4-Kf is the formation constant for [Fe(CN)6]4-, which is given as 1 x 1037 in the question.[Fe(CN)6]4- is present in a concentration of 0.1 M, which means [Fe(CN)6]4- = 0.1 M.

Substituting these values into the equation gives:1 x 1037 = [Fe2+][CN-]6 / 0.1M Rearranging the equation gives:[Fe2+] = (1 x 1037)(0.1M) / [CN-]6The concentration of CN- can be found using the charge balance equation:[Fe(CN)6]4- + Fe2+ ⇌ [Fe(CN)6]3- + Fe3+The overall charge on the left side is -4 + 2 = -2

The overall charge on the right side is -3 + 3 = 0Therefore, 2 moles of CN- are released for every mole of [Fe(CN)6]4-. The concentration of CN- is thus:[CN-] = 2[Fe(CN)6]4- = 2(0.1 M) = 0.2 M

Substituting this value into the equation for [Fe2+] gives:[Fe2+] = (1 x 1037)(0.1M) / (0.2M)6 = 3.98 x 10^-31 M

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The Ka of the unknown acid is 3.98 x 10⁻².

To find the Ka of the unknown acid, we need to use the Henderson-Hasselbalch equation, which relates the pH, pKa, and the concentrations of the acid and its conjugate base:

pH = pKa + log([A⁻]/[HA])

where [A⁻] will be the concentration of the conjugate base and [HA] will be the concentration of the acid.

At the halfway point of the titration, where 11.1 mL of base has been added, we can assume that the moles of acid (HA) and the moles of base (OH⁻) are equal. Therefore, we can calculate the initial concentration of the acid (before any base is added) using the volume of acid and its known molarity;

moles of acid = volume of acid (in L) x molarity of acid

moles of acid = 0.025 L x 0.100 M = 0.0025 moles

Since we added an equal amount of base, the concentration of the acid is now half of its original concentration;

concentration of acid = 0.100 M / 2 = 0.050 M

The concentration of the conjugate base can be calculated as follows;

concentration of base = volume of added base (in L) x molarity of base

concentration of base = 11.1 mL x (1 L / 1000 mL) x 0.100 M = 0.00111 M

Using the equation above and the given pH of 5.41, we can solve for the pKa;

5.41 = pKa + log([0.00111]/[0.050])

-0.59 = pKa - log(45.05)

-0.59 + log(45.05) = pKa

pKa = 1.46

Finally, we can use the relationship between Ka and pKa to find the Ka:

Ka = [tex]10^{(-pKa)}[/tex]

Ka = [tex]10^{(-1.46)}[/tex]

Ka = 3.98 x 10⁻²

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Changes in the concentrations of atmospheric gases can have many effects on the Earth system.

We will see the change of Earth system if the concentrations of the nitrogen, oxygen and water vapor were to change by +/- 5%:

A +/- 5% change in the concentration of nitrogen would make a minor impact on the Earth system. Nitrogen is an inert gas. It does not react chemically with other substances. Small increase in nitrogen concentration could benefit plant growth. But too much nitrogen can lead to eutrophication in water bodies. It will cause algal blooms and fish kills.

A +/- 5% change in the concentration of oxygen will create significant effects on the Earth system. A decrease in oxygen concentration could lead to respiratory problems for animals also humans. Decrease in oxygen concentration could also affect combustion processes. We know oxygen is a crucial factor in combustion. An increase in oxygen concentration may lead to an increased risk of fires.

A +/- 5% change in the concentration of water vapor make significant effects on the Earth system. Water vapor is a greenhouse gas. It will contribute to the Earth's natural greenhouse effect. An increase in water vapor concentration lead to an enhanced greenhouse effect. It will result in more significant global warming. Decrease in water vapor concentration makes a cooling effect on the Earth's climate. Water vapor is also essential for the formation of clouds and precipitation. Changes in its concentration could affect regional weather patterns.

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Answer:is a trace metal of severe toxicity. Its health concerns via consumption of contaminated vegetables have often been overlooked or underestimated

Explanation: Read it carefully and it explains

STP, or standard temperature and pressure, is a set of conditions used for comparing and measuring gases. STP is defined as a temperature of 0°C (273.15 K) and a pressure of 1 atmosphere (atm).

To determine the pressure of 0.6 moles of a gas sample collected at STP conditions, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature.

At STP conditions, the temperature T is 0°C or 273.15 K, and the number of moles n is given as 0.6. We also know that the volume V of the gas sample is equal to 22.4 L, which is the molar volume of any gas at STP.

Using these values, we can rearrange the ideal gas law equation to solve for the pressure P:

P = nRT/V

Substituting the known values, we get:

P = (0.6 mol)(0.0821 L·atm/mol·K)(273.15 K) / 22.4 L

P = 1.98 atm

Therefore, the pressure of 0.6 moles of a gas sample collected at STP conditions is 1.98 atm.

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The property is not an important property of water is the water is clear. This is the correct option.

Important properties of water include:

1. High specific heat: Water can absorb or release a significant amount of heat without changing its temperature much, which helps regulate temperatures in the environment.

2. Solvent ability: Water is often called the "universal solvent" because it can dissolve many substances, making it essential for various chemical processes.

3. Ice expansion: When water freezes, it expands and becomes less dense, causing ice to float on water. This property helps insulate bodies of water in cold temperatures, protecting aquatic life.

4. Liquidity of water: Water's liquidity allows it to flow and transport nutrients, waste, and other materials in nature and within organisms.

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Answer:

The molar mass of the gas is closest to that of molecular bromine (Br2), which has a molar mass of 159.8 g/mol. Therefore, the diatomic gas is likely to be bromine.

Explanation:

To solve this problem, we can use the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas. The ideal gas law is given by:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperature and volume to Kelvin and liters, respectively:

T = 23.0°C + 273.15 = 296.15 K

V = 125.0 mL / 1000 mL/L = 0.125 L

Next, we can rearrange the ideal gas law to solve for the number of moles:

n = PV/RT

where R is the ideal gas constant, which has a value of 0.08206 L·atm/(mol·K).

We can substitute the given values into this equation:

n = (750. torr)(0.125 L) / (0.08206 L·atm/(mol·K))(296.15 K) = 0.00408 mol

Now we can calculate the molar mass of the gas by dividing its mass by its number of moles:

molar mass = mass / moles

molar mass = 0.360 g / 0.00408 mol = 88.2 g/mol

The molar mass of the gas is 88.2 g/mol.

To determine the identity of the gas, we can compare its molar mass to the molar masses of common diatomic gases. The molar mass of the gas is closest to that of molecular bromine (Br2), which has a molar mass of 159.8 g/mol. Therefore, the diatomic gas is likely to be bromine.

The molar mass of the diatomic gas is approximately 67.9 g/mol. Considering common diatomic gases, it is likely to be Cl₂ (chlorine gas), which has a molar mass of 70.9 g/mol.

To determine the molar mass of the diatomic gas, we can use the Ideal Gas Law equation:

PV = nRT

First, we need to convert the given information to appropriate units.

1. Volume (V): 125.0 mL = 0.125 L (1 L = 1000 mL)

2. Temperature (T): 23.0 °C = 296.15 K (K = °C + 273.15)

3. Pressure (P): 750 torr = 0.9869 atm (1 atm = 760 torr)

Now we can rearrange the Ideal Gas Law equation to solve for n (moles of gas):

n = PV / RT

Plugging in the given values:

n = (0.9869 atm)(0.125 L) / (0.0821 L atm/mol K)(296.15 K)
n ≈ 0.0053 moles

Now, we can find the molar mass (MM) of the diatomic gas using the given mass and the calculated moles:

MM = mass/moles

MM = 0.360 g / 0.0053 moles
MM ≈ 67.9 g/mol

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Coefficients: Ni2+ (aq) + Zn(s) → Ni(s) + Zn2+ (aq); Water: neither, coefficient=0; Reducing agent: Zn.

The fair condition for the given skeletal condition is:

Ni2+ (aq) + Zn (s) → Ni (s) + Zn2+ (aq)

The coefficients of the species shown are 1 for Ni2+, 1 for Zn, 1 for Ni, and 1 for Zn2+.Water doesn't show up in the decent condition since it isn't associated with the response.The lessening specialist is Zn since it loses electrons and goes through oxidation. In this response, Zn is oxidized from its essential state to shape Zn2+ particles, while Ni2+ particles are diminished to frame Ni metal.Generally, the decent condition shows a solitary relocation response where Zn replaces Ni2+ in answer for structure Zn2+ and Ni metal.

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The pH of the buffer containing acetic acid and sodium actetate is found to be 1.14.

The pH of a solution containing the acid and the salt is given as,

pH = pKa + log[acid]/[salt]

In this case it is given that buffer containes 0.31M of acetic acid and 0.27M of sodium acetate. The pKa value of acetic acid is given to be 4.71. Now, as be have all the values, putting them in the formula and proceeding,

pH = (4.72) + log[0.31]/[0.27]

pH = 4.72 - 2.86

pH = 1.85

Hence, the pH of the buffer is found to be 1.14.

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Boyle's Law-

[tex]\:\:\:\:\:\:\:\:\:\:\:\star\:\sf \underline{ P_1 \: V_1=P_2 \: V_2}\\[/tex]

(Pressure is inversely proportional to the volume)

Where-

As per question, we are given that -

Now that we have all the required values and we are asked to find out the final pressure, so we can put the values and solve for the final pressure of nitrogen -

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\star\:\sf \underline{ P_1 \: V_1=P_2 \: V_2}[/tex]

[tex]\:\:\:\: \:\:\:\:\:\:\longrightarrow \sf 2.56\times 750 = P_2 \times 985\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\longrightarrow \sf P_2 = \dfrac{2.56 \times 750}{985}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\longrightarrow \sf P_2 = \cancel{\dfrac{ 1920}{985}}\\[/tex]

[tex]\:\:\:\: \:\:\:\:\:\:\longrightarrow \sf P_2 = 1.94923........ \\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{P_2 = 1.95 \: atm}\\[/tex]

Therefore,the pressure will become 1.95 atm if the volume becomes 985mL.

Let's assume that Chris uses x milliliters of the 10% acid solution and (100 - x) milliliters of the 30% acid solution. Hence this assumption results in 16% solution of 100 milliliters.

To find the amount of acid in the resulting 16% solution, we can use the following equation:

0.1x + 0.3(100 - x) = 0.16(100)

We have got 0.16(100) and after Simplifying the equation, we will get:

0.1x + 30 - 0.3x = 16

-0.2x = -14

And the final solution would be after doing the above equation is

x = 70

Therefore, Chris needs to use 70 milliliters of the 10% acid solution and (100 - 70) = 30 milliliters of the 30% acid solution to create 100 milliliters of a 16% solution.

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The behavior of ripples can provide us with insights into how mechanical waves move through a medium.A disturbance on a liquid's surface causes ripples to form, which move away from the disturbance location.

they are a type of mechanical wave, these ripples need a medium to move through it. The liquid serves as the medium when ripples are present.

In this scenario, the liquid is the medium through which the wave energy is being transported, as shown by the motion of the ripples. The liquid's surface begins to move up and down as the ripples leave the disturbance source and create local displacements. Energy is transferred from one liquid particle to another as a result of this motion in a direction that is orthogonal to the direction of wave propagation.

The behavior of the ripples can also tell us about other properties of mechanical waves, such as their speed and frequency. For example, the distance between successive ripples (wavelength) and the time it takes for successive ripples to pass a given point (period) can be used to determine the speed and frequency of the wave.

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Any application that requires a durable and aesthetically pleasing material that can be easily cut into straight lines would be a good use of sandstone.

Sandstone's durability and ease of cutting make it suitable for various uses, including:

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I would predict that copper will have the highest specific heat capacity among copper, granite, and lead.

This is because metals generally have higher specific heat capacities than nonmetals, and copper is a metal. Copper is also known to have a relatively high specific heat capacity compared to other metals, making it a good conductor of heat and able to absorb and retain thermal energy well. On the other hand, lead has a relatively low specific heat capacity, and granite, being a type of rock, will likely have a moderate specific heat capacity but still lower than copper.

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Therefore, the specific heat of the material is approximately 68.57 J/(kg·°C).

C = Q /(m  T) is the equation for the specific heat capacity of a material with mass m. where Q is the additional energy and T is the temperature difference.

We can use the formula for heat:

Q = mcΔT

In this instance, we are aware that a 35 g sample, heated from 293 K to 313 K, received 48 J. We can enter these numbers into the algorithm to find c:

48 J = (35 g) x c x (313 K - 293 K)

First, we must convert the temperature differential from Kelvin to Celsius as well as the mass from grammes to kilogrammes:

48 J = (0.035 kg) x c x (20 °C)

48 J = (0.7 kg·°C) x c

c = 48 J / (0.7 kg·°C)

c ≈ 68.57 J/(kg·°C)

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The answer is too long and I faced error while submitting the answer

So

I took screenshots of the answer and uploaded it as pics

the pictures are organized by numbers (1,2,3,4 and 5)

hope you find this easy to understand....

Have any questions? Write in the comments.

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A student asked about the amount of nickel plated out of a Ni(NO3)2 solution when a current of 5.41 A is passed through it for 1.90 hours.

To determine this, we can use Faraday's laws of electrolysis.

First, we need to find the charge passed through the solution. Charge (Q) can be calculated using the formula Q = I × t, where I is the current and t is the time in seconds. Since 1 hour is equal to 3600 seconds, 1.90 hours is equal to 1.90 × 3600 = 6840 seconds.

Now we can calculate the charge: Q = 5.41 A × 6840 s = 36996 Coulombs.

Next, we need to determine the amount of nickel deposited. The relationship between charge and moles of substance can be described using Faraday's constant (F), which is approximately 96485 Coulombs/mol of electrons. The balanced half-reaction for the reduction of Ni(II) ions is:

Ni(II) + 2e- → Ni(s)

Thus, 2 moles of electrons are needed to deposit 1 mole of nickel. Now we can calculate the moles of nickel

Moles of Ni = (Q × (1 mole Ni / (2 moles e-))) / F = (36996 C × (1 mole Ni / (2 moles e-))) / 96485 C/mol = 0.1918 moles Ni.

Finally, we need to convert moles of nickel to grams. The molar mass of nickel is 58.69 g/mol. So, the mass of nickel deposited is

Mass of Ni = moles of Ni × molar mass = 0.1918 moles × 58.69 g/mol = 11.26 grams.

Therefore, 11.26 grams of nickel is plated out of the Ni(NO3)2 solution when a 5.41 A current is passed through it for 1.90 hours.

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Charles's Law-

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\star\longrightarrow\sf \underline{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}\\[/tex]

Where:-

As per question, we are given that -

Now that we have obtained all the required values, so we can put them into the formula and solve for V₂ :-

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\star\longrightarrow\sf \underline{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2= \dfrac{V_1}{T_1}\times T_2\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2= \dfrac{600}{350}\times 359\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2= 1.71428..............\times 359\\[/tex]

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\longrightarrow \sf V_2 =615.4285................\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf\underline{ V_2= 615.42\:mL}\\[/tex]

Therefore, the new volume of the gas will become 615.42 mL when pressure remains constant.

If methane is compressed in a steady-state adiabatic compressor (87% efficient) to 0.4 mpa, then the required work per mole of methane is 4.04 kJ/mol.

To determine the required work per mole of methane, we can use the following formula:

[tex]W = \frac{(P_2V_2 - P_1V_1)}{n} * \eta[/tex]

Where:

W is the work done per mole of methane in kJ

P₁ is the initial pressure of methane

V₁ is the initial volume of methane

P₂ is the final pressure of methane

V₂ is the final volume of methane

n is the number of moles of methane

η is the efficiency of the compressor

Assuming that the compression process is reversible and adiabatic, we can use the following relationships:

[tex]\frac{P_2}{P_1} = (\frac{V_1}{V_2})^{\gamma}[/tex]

[tex]\frac{T_2}{T_1} = (\frac{V_1}{V_2})^{(\gamma-1)}[/tex]

where:

[tex]\gamma = \frac{C_p}{C_v}[/tex]  is the ratio of specific heats of methane

[tex]C_p[/tex]  is the specific heat at constant pressure

[tex]C_v[/tex]  is the specific heat at constant volume

Since the process is adiabatic, there is no heat transfer (Q = 0) and therefore the compression is reversible, so we can use the above relationships.

Let's assume that we have one mole of methane, and use the ideal gas law to find the initial volume:

[tex]P_1V_1 = nRT_1[/tex]

Where:

R is the gas constant for methane

T₁ is the initial temperature

Assuming standard temperature and pressure (STP) conditions (T₁ = 273.15 K, P₁ = 1 atm), we have:

[tex]V_1 = \frac{nRT_1}{P_1} = \frac{(1)*(8.314 )*(273.15)}{(1 * 101.325)} = 22.414[/tex] L/mol

Next, we can use the relationships for adiabatic compression to find the final volume and temperature:

[tex]\frac{P_2}{P_1} = (\frac{V_1}{V_2})^{\gamma}[/tex]

⇒ [tex]\frac{0.4}{101.325} = (\frac{22.414}{V_2})^{1.31}[/tex]

[tex]V_2 = 6.903[/tex] L/mol

[tex]\frac{T_2}{T_1} = (\frac{V_1}{V_2})^{\gamma-1}[/tex]

[tex]T_2 = T_1 * (\frac{V_1}{V_2})^{\gamma -1}[/tex]

[tex]T_2 = 273.15* (\frac{22.414}{6.903})^{(1.31-1)}[/tex]

[tex]T_2 = 550.1 K[/tex]

Now we can substitute the values into the formula for work:

[tex]W = \frac{(P_2V_2 - P_1V_1)}{n} * \eta[/tex]

[tex]W = \frac{[(0.4*6.903) - (1*22.414)]}{1} * 0.87[/tex]

[tex]W = -4.04[/tex] kJ/mol

the negative sign indicates that work is done on the system (i.e. the compressor does work on the methane). Therefore, the required work per mole of methane is -4.04 kJ/mol

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Cool the bauxite complex to allow the aluminum hydroxide to precipitate.Dissolve the aluminum oxide in molten cryolite. Separate the aluminum from the oxide by electrolysis in an electrolytic cell.

A trained electrologist inserts a short wire into the hair follicles that are located at the skin's surface. An electric current that exits the follicle and travels down the wire damages the hair root. Damage to the follicles prevents the growth of new hair and causes the existing hair to fall out.

The main industrial procedure for smelting aluminum is called the Hall-Héroult process. It entails dissolving aluminum oxide (alumina), which is most frequently derived from bauxite, the primary ore of aluminum, using the Bayer process, in molten cryolite, and electrolyzing the molten salt bath, usually in a cell that has been specifically designed for the purpose.

Mix the bauxite ore with concentrated sodium hydroxide to form sodium aluminum hydroxide complex.

Heat the Al(OH)3 to drive off water, leaving Al2O3.

Filter out the sodium aluminum hydroxide complex to allow the aluminum hydroxide to precipitate.

Electrolyze the aluminum oxide in the presence of cryolite in an electrolytic cell.

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The volume of 0.010 M H2SO4 required to completely titrate 50 mL of 500 ppm Na2CO3 solution using the stoichiometry of the molecular reaction is 5 μL.

To calculate the volume of 0.010 M H2SO4 (the titrant) required to completely titrate 50 mL of 500 ppm Na2CO3 solution (analyte) using the stoichiometry of the molecular reaction, the following steps can be used;Determine the balanced molecular reaction equation.

Write down the molar ratio of H2SO4 and Na2CO3.Calculate the number of moles of Na2CO3 in 50 mL of the solution.Calculate the volume of 0.010 M H2SO4 required to react with the moles of Na2CO3 present.The balanced equation of the reaction is:

Na2CO3 + H2SO4 → Na2SO4 + H2O + CO2The molar ratio of Na2CO3 and H2SO4 can be obtained from the balanced equation as follows:1 mole of Na2CO3 reacts with 1 mole of H2SO4.The number of moles of Na2CO3 in 50 mL of 500 ppm Na2CO3 solution can be calculated as follows:ppm means parts per million = 1 part in 106 partsTherefore,

500 ppm = 500/106 = 0.0005Multiply the number of moles of Na2CO3 by the molar ratio of H2SO4 and Na2CO3 to obtain the number of moles of H2SO4 required.

0.0005 × 1 = 0.0005 moles of H2SO4The volume of 0.010 M H2SO4 required to react with 0.0005 moles of Na2CO3 can be calculated as follows:

V = (number of moles × molarity) ÷ (concentration in M)

where V is the volume in liters (L)0.0005 × 0.010 ÷ 1 = 0.000005 L or 5 μL

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The decrease in temperature of a gas when compressed can be calculated using the ideal gas law, which relates the pressure, volume, temperature, and number of particles of a gas.

The ideal gas law is expressed as PV = nRT, where P is the pressure, V is the volume, n is the number of particles, R is the gas constant, and T is the temperature.

To calculate the decrease in temperature, we first need to determine the initial conditions of the gas. At 8.5 L and 25.0 °C, we can assume that the pressure is constant and that the number of particles is also constant. Therefore, we can write:

P1V1/T1 = P2V2/T2

where P1 is the initial pressure, V1 is the initial volume, T1 is the initial temperature, P2 is the final pressure, V2 is the final volume, and T2 is the final temperature.

Plugging in the values, we get:

P1 × 8.5 L / 25.0 °C = P2 × 4.00 L / T2

Simplifying and solving for T2, we get:

T2 = (P2 × 4.00 L × 25.0 °C) / (P1 × 8.5 L)

Assuming that the pressure remains constant, we can simplify the equation further:

T2 = (4.00 L × 25.0 °C) / 8.5 L

T2 = 11.8 °C

Therefore, the decrease in temperature is:

25.0 °C - 11.8 °C = 13.2 °C

In summary, when 8.5 L of gas at 25.0 °C is compressed to 4.00 L, the temperature decreases by 13.2 °C.

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