A sample of crushed rock is found to have 4. 81 x 10^21 atoms of gold, how many moles of hold are present in this sample?

The uranium rod undergoes a temperature change of 2.41°C when 3.4 kJ of heat is added to it

To work out the adjustment of temperature of the uranium pole, we can utilize the equation:

Q = m * c * ΔT

Where Q is the intensity added, m is the mass of the uranium pole, c is the particular intensity of uranium, and ΔT is the adjustment of temperature.

In the first place, we want to change over the mass of the pole from kilograms to grams:

m = 1.4 kg * 1000 g/kg = 1400 g

Then, we can rework the recipe to settle for ΔT:

ΔT = Q/(m * c)

Subbing the given qualities:

ΔT = (3.4 kJ)/(1400 g * 0.12 J/gC) = 2.41 C

This arrangement utilizes the recipe Q = m * c * ΔT to work out the adjustment of temperature of a 1.4 kg uranium pole when 3.4 kJ of intensity is added. The mass is switched over completely to grams, and the particular intensity of uranium is utilized to find ΔT, which is viewed as 2.41°C.

Hence, the uranium pole goes through a temperature change of 2.41°C when 3.4 kJ of intensity is added to it.

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Engineers designing a new energy efficient product will make the first model called a prototype.

A prototype is the initial model that engineers create in order to test and evaluate the feasibility of their design. This model is usually made using cheaper and more readily available materials compared to the final product.

The purpose of the prototype is to identify any design flaws or areas for improvement, and make the necessary changes before moving forward with the production process. Engineers will often make multiple prototypes until they are satisfied with the design and performance of the product.

In the case of energy-efficient products, engineers will focus on developing a prototype that utilizes minimal energy consumption while still providing the desired level of functionality. This requires careful consideration of the materials and components used in the product, as well as the design of the product itself.

Once the prototype has been tested and refined, engineers can move on to creating the final product. By creating a prototype first, engineers can ensure that their design is both efficient and effective, ultimately resulting in a product that is better for both the environment and the consumer.

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When calcium metal reacts with chlorine gas, they form an ionic compound known as calcium chloride. The chemical formula for calcium chloride is [tex]CaCl2[/tex].

During the reaction, calcium metal loses two electrons to form [tex]Ca2+[/tex] ions while chlorine gas accepts these electrons to form [tex]Cl-[/tex] ions.

The electrostatic attraction between the positively charged [tex]Ca2+[/tex] ions and negatively charged [tex]Cl-[/tex] ions results in the formation of the solid ionic compound, calcium chloride.

Calcium chloride is a white crystalline solid that is highly soluble in water. It has a wide range of applications in industries such as food, pharmaceuticals, and de-icing of roads.

Additionally, it is used as a drying agent in laboratory procedures and as a source of calcium ions in biological and medical applications.

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Approximately 1.82 liters of ethylene glycol should be added to the water in the radiator to make a 50:50 mixture that will protect the system to -18°C.

A 50:50 mixture of ethylene glycol and water is recommended to provide protection down to approximately -37°C. This mixture will provide freeze point depression of approximately -34°C. We can use the following equation to calculate the volume of ethylene glycol required:

Veth = (Vtot × Ceth) / ρeth

where:

Veth = volume of ethylene glycol

Vtot = total volume of mixture

Ceth = concentration of ethylene glycol

ρeth = density of ethylene glycol

To calculate volume of ethylene glycol required to make a 50:50 mixture, we can substitute these values into the equation:

[tex]Veth = (Vtot * Ceth) / \rho eth \\Veth = (4 L * 0.5) / 1.1 kg/L \\Veth = 1.82 L[/tex]

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Answer:

d

Explanation:

Biomass is organic matter that comes from recently living plants and animals. When biomass is burned, it releases carbon dioxide into the atmosphere.

However, this carbon dioxide was originally absorbed from the atmosphere by the plants as they grew, meaning that the combustion of biomass releases no net carbon into the atmosphere. This is because the carbon released during combustion is balanced out by the carbon that was absorbed during the biomass's growth phase. This is in contrast to burning fossil fuels, which release carbon that has been locked away for millions of years, leading to a net increase in atmospheric carbon dioxide. Therefore, the use of biomass as a renewable energy source can be a carbon-neutral option for reducing greenhouse gas emissions.

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There are seven sequential steps of scientific research.

The scientific method is a process used when conducting experiments and exploring observations. Some areas of science rely more heavily on this method to answer questions, as they are more easily tested than other areas.

This method aims to discover the relationships between cause and effect in various situations and applications. The 7 steps of scientific research are -

Therefore, there are seven sequential steps of scientific research.

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There are 0.0125 moles of Al₂(SO₄)₃ present in 50.0 mL of 0.250 M solution.

To determine the number of moles of Al₂(SO₄)₃ in 50.0 mL of 0.250 M solution, we need to use the formula:

moles = concentration x volume (in liters)

First, we need to convert the volume from milliliters to liters:

50.0 mL = 50.0/1000 L = 0.0500 L

Now, we can use the formula:

moles = 0.250 M x 0.0500 L = 0.0125 moles

So, there are 0.0125 moles of Al₂(SO₄)₃ present in 50.0 mL of 0.250 M solution.

In chemistry, moles are a unit of measurement used to quantify the amount of a chemical. One mole of a substance is defined as the amount of that substance containing the same number of particles as 12 grams of carbon-12. Avogadro's number is the number of particles.

In chemical processes, moles are frequently used to calculate the amounts of reactants and products involved. The number of moles of a material can be estimated using its mass and molar mass, or by multiplying a solution's concentration by its volume in liters.

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The temperature of the helium sample increased by 0.159 °C.

To solve this problem, we can use the equation:

q = mcΔT

where q is the heat absorbed, m is the mass of the helium sample, c is the specific heat capacity of helium, and ΔT is the change in temperature.

Substituting the given values, we get:

           q = mcΔT

125.7 cal = (634.5 g)(1.241 cal/(g·°C))ΔT

Solving for ΔT, we get:

ΔT = 125.7 cal / (634.5 g * 1.241 cal/(g·°C))

ΔT = 0.159 °C

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The alpha of the investment is - 0.8%.

The alpha of an investment is a measure of its risk-adjusted performance. It indicates the excess return earned by the investment compared to the return predicted by the market based on its beta.

The formula to calculate alpha is:

alpha = actual return - expected return

where the expected return is the risk-free rate plus the product of the market return and the investment's beta.

Here, we are given:

actual return = 10%

market return = 10%

risk-free rate = 2%

beta = 1.1

Expected return = risk-free rate + beta * (market return - risk-free rate)

Expected return = 2% + 1.1 * (10% - 2%)

Expected return = 10.8%

Therefore, the alpha of the investment is:

alpha = actual return - expected return

alpha = 10% - 10.8%

alpha = -0.8%

The negative value of alpha indicates that the investment underperformed compared to what was expected based on its beta and the market return.

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Complete Question

The equilibrium expression for the ionization of HOI is:

Kc = [H⁺][OI⁻]/[HOI]

In this expression, [H⁺] represents the concentration of hydrogen ions, [OI⁻] represents the concentration of hypoiodite ions, and [HOI] represents the concentration of the undissociated hypohalous acid. The equilibrium constant, Kc, is a measure of the extent to which the reaction has reached equilibrium.

In the case of HOI, the equilibrium constant can be used to determine the degree of ionization of the acid in solution. If Kc is large, it indicates that the reaction favors the formation of ions and that the acid is strong. If Kc is small, it indicates that the reaction favors the formation of undissociated acid and that the acid is weak. The value of Kc can also be used to calculate the concentrations of the different species in the solution at equilibrium, given the initial concentrations and the stoichiometry of the reaction.

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The complete question is:

Write the equilibrium expression for the ionization of HOI?

The theoretical yield of iron(II) oxide is 4.67 grams.

The percent yield of the reaction is 64.85%.

To find the theoretical yield of iron(II) oxide, calculate the amount of iron(II) oxide that would be produced if all of the iron reacted with oxygen:

Molar mass of Fe = 55.85 g/mol

Molar mass of FeO = 71.85 g/mol

From the balanced equation, 1 mole of iron reacts with 1 mole of oxygen to produce 1 mole of iron(II) oxide. So, set up a proportion to find the theoretical yield:

3.59 g Fe × (1 mol Fe / 55.85 g) × (1 mol FeO / 1 mol Fe) × (71.85 g FeO / 1 mol FeO) = 4.67 g FeO (rounded to two decimal places)

Therefore, the theoretical yield of iron(II) oxide is 4.67 grams.

To find the percent yield, we use the following formula:

Percent yield = (actual yield / theoretical yield) x 100%

The actual yield is given as 3.03 grams. Plugging in the values:

Percent yield = (3.03 g / 4.67 g) x 100% = 64.85% (rounded to two decimal places)

Therefore, the percent yield of the reaction is 64.85%.

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Image transcribed:

Use the References to access important values if needed for this question.

For the following reaction, 3.59 grams of iron are mixed with excess oxygen gas. The reaction yields 3.03 grams of iron(II) oxide.

iron (s) + oxygen (g)- →iron(II) oxide (s)

What is the theoretical yield of iron(II) oxide ? ______ grams

What is the percent yield for this reaction? ________ %

The blood alcohol concentration (BAC) of eight male subjects was measured after consuming 15 ml of ethanol, and a concentration function was derived. In this answer, we calculate the rate of change of BAC and interpret the results in the context of the problem.

After 6 minutes, the BAC was increasing at a certain rate, and half an hour later, it was decreasing at a different rate according to the model.

To find the rate of change of blood alcohol concentration (BAC) and interpret the results in the given context:

(a) We are asked to find how rapidly the BAC is increasing after 6 minutes. We can calculate the derivative of the concentration function with respect to time:

[tex]$c'(t) = 0.00225 e^{-0.0467t} - 0.0467 \cdot 0.00225 \cdot t \cdot e^{-0.0467t}$[/tex]

Evaluate c'(6) to find the rate of change at 6 minutes.

(b) For the rate of decrease half an hour later, we need to calculate c'(t) at t = 30 minutes.

After finding the values, we can interpret the answers by considering the units: (g/dl)/min represents the change in BAC concentration per minute.

The model predicts that the BAC will decrease by the respective amounts after the specified time periods.

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The quality of the two-phase liquid-vapor mixture of H2O at 40°C with a specific volume of 10 m3/kg is approximately 0.1176 or 11.76%.

The quality of a two-phase liquid-vapor mixture is the fraction of the total mass that is in the vapor phase. The specific volume of a substance is the volume occupied by one kilogram of that substance.

Since the mixture is two-phase, it means it is a combination of liquid and vapor phases. At a given temperature and pressure, the quality of a mixture is determined by its specific volume.

Given:

Temperature of mixture (T) = 40°C

Specific volume of mixture (v) = 10 m3/kg

Using the saturated water table, we can find that at 40°C, the specific volume of the saturated liquid (vf) is 0.001067 m3/kg and the specific volume of the saturated vapor (vg) is 0.08608 m3/kg.

Since the mixture is two-phase, we can use the following equation to calculate the quality:

x = (v - vf)/(vg - vf)

where x is the quality of the mixture.

Plugging in the values, we get:

x = (10 - 0.001067)/(0.08608 - 0.001067)

x = 0.1176

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James makes a 260 g solution when he adds 10 g of salt to 250 g of water and stirs until it dissolves.

When James adds 10 g of salt to 250 g of water and stirs until it dissolves, he creates a solution.

A solution is a homogeneous mixture where one substance (the solute) is dissolved in another substance (the solvent). In this case, water is the solvent and salt is the solute. The mass of the resulting solution will be the sum of the mass of the solute and the mass of the solvent.

So, the mass of the resulting solution will be:

Mass of solution = Mass of water + Mass of salt

Mass of solution = 250 g + 10 g

Mass of solution = 260 g

Therefore, James makes a 260 g solution when he adds 10 g of salt to 250 g of water and stirs until it dissolves.

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The molarity of the carbonic acid if 90 ml of 0.25 m ca(oh)2 are required to titrate 100 ml of carbonic acid is 0.225 M.

First, we need to write the balanced equation for the reaction between calcium hydroxide (Ca(OH)2) and carbonic acid (H2CO3):

Ca(OH)2 + H2CO3 → CaCO3 + 2H2O

We can see from the equation that there is a 1:1 mole ratio between Ca(OH)2 and H2CO3. Therefore, the moles of Ca(OH)2 used in the titration is equal to the moles of H2CO3 in the solution:

moles of Ca(OH)2 = 0.25 M x 0.090 L = 0.0225 mol

moles of H2CO3 = moles of Ca(OH)2 = 0.0225 mol

Now, we can use the definition of molarity to calculate the molarity of H2CO3:

Molarity = moles of solute / volume of solution

Molarity of H2CO3 = moles of H2CO3 / 0.100 L = 0.0225 mol / 0.100 L = 0.225 M

Therefore, the molarity of the carbonic acid is 0.225 M.

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The substance that will cool the fastest when equal masses are heated to the same temperature is the one with the lowest specific heat.

This is because a substance with a lower specific heat requires less energy to raise its temperature by a certain amount, and therefore it will release heat more quickly when it cools down.

Out of the given substances, substance A has the lowest specific heat of 0.90 J/g-°C, so it will cool the fastest when equal masses are heated to the same temperature.

Substance B has a specific heat of 1.70 J/g-°C, substance C has a specific heat of 2.70 J/g-°C, and substance D has the highest specific heat of 4.18 J/g-°C.

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The decay process of each isotope depends on their half-lives. The half-life is the amount of time required for half of the initial sample to decay.

U-238 has a half-life of 4.5 billion years, which means it takes billions of years for half of the U-238 to decay. Th-234 has a half-life of 24 days, which is relatively short compared to U-238. Ra-226 has a half-life of 1,600 years, which is shorter than U-238 but longer than Th-234. Po-214 has a half-life of 164 microseconds, which is incredibly short compared to the other isotopes. Pb-206 is a stable isotope, which means it does not undergo radioactive decay.

Therefore, the decay of Po-214 to Pb-206 is the fastest decay process of the four isotopes mentioned above, and the decay of U-238 to Th-234 is the slowest. The decay of Th-234 to Ra-226 and Ra-226 to Po-214 are intermediate decay processes.

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1.2 grams of Barium Chloride (BaCl₂) are needed to make 220 mL of 0.040 M solution.

To determine the amount of grams of Barium Chloride (BaCl₂) needed to compound a 220 mL 0.040 M solution, we can implement the following formula:

mass (in grams) = molarity × volume (in liters) × molar mass

convert the volume of the mixture from milliliters (mL) to litres (L):

220 mL =  0.220 L by : 220/1000

The molar mass of BaCl₂ is 137.33 g/mo

Therefore, when utilizing the equation above, we can deduce that:

mass = 0.040 mol/L × 0.220 L × 137.33 g/mol = 1.2 g

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9

Explanation:

Therefore, [H3O+]=[H+]=1.0×10−9M [ H 3 O + ] = [ H + ] = 1.0 × 10 − 9 M . Thus, the pH of the solution is 9.

The correct interpretation is  89.6 L of [tex]NH_{3}[/tex](g) react with 156.8 L of [tex]O_{2}[/tex](g) to produce 89.6 L of [tex]NO_{2}[/tex](g) and 134.4 L of [tex]H_{2} O[/tex](g).

We know that one mole of a gas does occupy 22.4 L. We can now use this to obtain the number of volumes of the gas based on the stoichiometric coefficient that has been given in the problem.

Molar volume of a gas refers to the volume occupied by one mole of a gas at a specific temperature and pressure. This value is useful in many applications of chemistry, such as in stoichiometric calculations and the determination of gas densities.

Using the stoichiometric coefficients we can see that the volume of the gases are;

Ammonia - 89.6 L

Oxygen -  156.8 L

Nitrogen dioxide - 89.6 L

Water -  134.4 L

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In a suspected case of carbon monoxide poisoning, a layer of carbon dioxide is added to prevent reaction with oxygen in the air.

Carbon monoxide is a colorless, odorless, and tasteless gas that can cause serious health issues or even death when inhaled in large amounts. It is produced from incomplete combustion of fossil fuels, such as gasoline, oil, coal, and wood.

Carbon monoxide molecules have a high affinity for hemoglobin in the blood, which reduces the amount of oxygen that can be transported to vital organs and tissues.

When someone is suspected of having carbon monoxide poisoning, the first step is to remove them from the contaminated environment and provide them with fresh air. The next step is to administer oxygen therapy to increase the amount of oxygen in their bloodstream and reverse the effects of carbon monoxide poisoning.

However, administering pure oxygen can lead to a chemical reaction between carbon monoxide and oxygen, which produces carbon dioxide. This can cause further complications and may worsen the patient's condition.

To prevent this reaction, a layer of carbon dioxide is added to the oxygen supply. This layer acts as a barrier between oxygen and carbon monoxide, preventing the chemical reaction from occurring.

This technique, called hyperbaric oxygen therapy, is used in severe cases of carbon monoxide poisoning to quickly eliminate the toxic gas from the body and reduce the risk of long-term damage.

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The outcome of pulse rate measurements in blackworms collected from an acidic environment will likely depend on how the blackworms respond to changes in pH and whether they experience acidosis or alkalosis as a result.

It is difficult to predict the outcome of pulse rate measurements in blackworms collected from an environment with an acidic pH without more information about the blackworms' physiological responses to changes in pH. However, it is known that changes in pH can have significant effects on the body's internal environment, leading to either acidosis or alkalosis. Acidosis occurs when the pH of the blood drops below normal, leading to an increase in acidity, while alkalosis occurs when the pH of the blood rises above normal, leading to a decrease in acidity. Both acidosis and alkalosis can affect pulse rates. In the case of acidosis, the pulse rate may increase in order to compensate for the effects of increased acidity. Conversely, in alkalosis, the pulse rate may decrease in order to minimize the effects of decreased acidity.

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A coupled reaction refers to the process in which the energy released from one chemical reaction is used to drive another chemical reaction.

This is possible when the two reactions are physically connected in such a way that the energy from the first reaction is directly used to power the second reaction. For example, the breakdown of ATP (adenosine triphosphate) to ADP (adenosine diphosphate) and inorganic phosphate (Pi) is energetically favorable, releasing energy that can be used to drive other reactions in the cell. In a coupled reaction, this energy can be used to power the formation of a peptide bond during protein synthesis, which is energetically unfavorable on its own.

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--The complete Question is, What is a coupled reaction?--

Answer:

We can use Gay-Lussac's Law to solve this problem, which states that the pressure of a gas is directly proportional to its temperature, provided the volume and the number of moles of the gas are constant.

Using this law, we can write:

P1/T1 = P2/T2

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

Substituting the given values, we get:

P1 = 106 kPa

T1 = 47°C + 273.15 = 320.15 K

T2 = 77°C + 273.15 = 350.15 K

So, P2/T2 = P1/T1

P2 = P1 × (T2 / T1)

P2 = 106 kPa × (350.15 K / 320.15 K) = 115.44 kPa

Therefore, the new pressure of the hydrogen gas will be 115.44 kPa when it is heated to 77°C at constant volume.

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C. Na (aq) + H2O (aq) NaOH (aq) + H2 (g) of the following chemical reactions represents a single replacement reaction

When a more reactive ingredient in a compound replaces a less reactive element, the reaction is referred to as a single displacement reaction. Metal, hydrogen, and halogen displacement reactions are the three different types of displacement reactions.

When chlorine is introduced to a solution of sodium bromide in gaseous form (or as a gas dissolved in water), bromine is replaced by chlorine. Sodium bromide's bromine is replaced with chlorine because it is more reactive than bromine, which causes the solutions to become blue.

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When a double-slit experiment is performed with electrons, an interference pattern is observed on the screen behind the slits.

The interference pattern is a result of the wave-like nature of the electrons. Just like waves, electrons can interfere constructively or destructively with each other, leading to bright and dark fringes on the screen.

The bright fringes correspond to constructive interference, where the peaks of the electron waves overlap and reinforce each other, while the dark fringes correspond to destructive interference, where the peaks of one electron wave overlap with the troughs of another electron wave, canceling each other out.

The interference pattern observed in the double-slit experiment is one of the key pieces of evidence supporting the wave-particle duality of matter, which states that matter particles like electrons can exhibit both wave-like and particle-like behavior depending on the experimental setup.

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The new volume of the gas at STP is 163.8 mL. The pressure in the aerosol can at a temperature of 60 C is 8.4 atm. The volume of nitrogen at STP is 558.8 mL.

1. To solve for the new volume of the gas at STP, we can use the combined gas law equation:

(P1 x V1)/T1 = (P2 x V2)/T2

where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2 and T2 are the new pressure and temperature, respectively, at STP. We know that STP is defined as 1 atm and 273 K.

Plugging in the given values, we get:

(6 atm x 10 mL)/100 K = (1 atm x V2)/273 K

Simplifying and solving for V2, we get:

V2 = (6 atm x 10 mL x 273 K)/(100 K x 1 atm) = 163.8 mL

Therefore, the new volume of the gas at STP is 163.8 mL.

2.To solve for the pressure in the aerosol can at a temperature of 60 C, we can use the combined gas law equation again:

(P1 x V1)/T1 = (P2 x V2)/T2

where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2 and T2 are the new pressure and temperature, respectively, at 60 C. We know that V1 is constant since the can is sealed.

Plugging in the given values, we get:

(8 atm x V1)/318 K = (P2 x V1)/333 K

Simplifying and solving for P2, we get:

P2 = (8 atm x 333 K)/(318 K) = 8.4 atm

Therefore, the pressure in the aerosol can at a temperature of 60 C is 8.4 atm.

3. To solve for the volume of nitrogen at STP, we can use the combined gas law equation again:

(P1 x V1)/T1 = (P2 x V2)/T2

where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2 and T2 are the new pressure and temperature, respectively, at STP. We know that P1 is constant since it is given that the pressure is constant.

Plugging in the given values and using the values for STP, we get:

(1 atm x 600 mL)/(293 K) = (P2 x V2)/(273 K)

Simplifying and solving for V2, we get:

V2 = (1 atm x 600 mL x 273 K)/(293 K) = 558.8 mL

Therefore, the volume of nitrogen at STP is 558.8 mL.

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The change in entropy (ΔS) of a gas with 10⁵ particles when the volume changes to 50 times its original value is 2.30 kJ.

To calculate the change in entropy, we can use the formula ΔS = Nkln(V2/V1), where N is the number of particles, k is the Boltzmann constant (1.38 x 10⁻² J/K), and V2 and V1 are the final and initial volumes, respectively. In this case, N = 10⁵, V2 = 50V1, and V1 = V1.

Step 1: Substitute the values into the formula:
ΔS = (10⁵)(1.38 x 10⁻²³ J/K)ln(50V1/V1)

Step 2: Simplify the equation by canceling V1 in the ratio:
ΔS = (10⁵)(1.38 x 10⁻²³ J/K)ln(50)

Step 3: Evaluate the natural logarithm of 50:
ΔS = (10⁵)(1.38 x 10⁻²³ J/K)(3.91)

Step 4: Multiply the values together:
ΔS = 5.38 x 10⁻²¹ J

Step 5: Convert joules to kilojoules:
ΔS = 2.30 x 10¹⁸ kJ

Thus, the change in entropy of the gas is 2.30 kJ.

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