4. A sample of 25L of NH3 gas at 10 °C is heated at constant pressure until it fills a volume


of 50L. What is the new temperature in °C?


5. A 600ml balloon is filled with helium at 700mm Hg barometric pressure. The balloon is


released and climbs to an altitude where the barometric pressure is 400mm Hg. What


will the volume of the balloon be if, during the ascent, the temperature drops from 24 to


5°C?


6. The pressure inside of a sealed container is 645. 0 torr at a temperature of 25 °C. At


what temperature will the container have a pressure of 2. 21 atm?


7. A balloon has a volume of 650. ML when it contains 0. 250 mol of a gas. If 0. 123 mol of


the gas is released from the balloon, what is the new volume?


8. In an autoclave, a constant amount of steam is generated at a constant volume. Under


1. 00 atm pressure the steam temperature is 100°C. What pressure setting should be


used to obtain a 165°C steam temperature for the sterilization of surgical instruments?

One simple experiment that can be conducted to demonstrate that living materials contain water is heating of simple matter.

The following experimental procedure deminstrates the presence of water on living matter.

If the sample contains water, the final weight will be less than the initial weight, indicating that some of the water has been lost due to the heating process.

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The volume of gas at 140.0 °C is calculated as 1033 ml.

Space occupied by gaseous particles at the standard temperature and pressure conditions is called the volume of gas

T1 = 32.0 °C + 273.15 = 305.15 K

T2 = 140.0 °C + 273.15 = 413.15 K

Next, we can set up the proportion: V1/T1 = V2/T2

V1 is initial volume, V2 is final volume, T1 is initial temperature, and T2 is final temperature.

762.0 mL/305.15 K = V2/413.15 K

V2 = 762.0 mL × (413.15 K/305.15 K) = 1033 mL

Therefore, the volume of the gas at 140.0 °C is 1033 ml.

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Answer: b

Explanation: because the light-scattering properties of our atmosphere spread sunlight across the sky. seeing the dim light of a distant star in the blanket of photons from our Sun becomes as difficult as spotting a single snowflake in a blizzard.

The temperature of the helium sample changed by approximately 0.0314 degrees Celsius.

To calculate the temperature change of the helium sample, we can use the formula:

q = mcΔT

where q is the heat absorbed (125.7 calories), m is the mass of the sample (634.5 g), c is the specific heat capacity of helium (1.241 cal/(g·°C)), and ΔT is the temperature change in degrees Celsius. We need to find ΔT.

Rearranging the formula to solve for ΔT, we get:

ΔT = q / (mc)

Now, plug in the given values:

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

ΔT ≈ 0.0314 °C

Therefore, the temperature of the helium sample changed by approximately 0.0314 degrees Celsius.

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In the field of chemistry, the term "conjugate" is used to describe pairs of molecules or ions that are connected through the transfer of a proton, which is represented as H⁺. Conjugate acids and bases, specifically, are pairs of molecules or ions that vary by the presence or absence of one proton.

These equilibrium equations represent the transfer of a proton between a weak acid or base and water, resulting in the formation of its conjugate acid or base.

Answer of the given questions are as follows :

1. The formula of the conjugate acid: HCO₂H

2. The formula of the conjugate base: C₆HNH₃⁺

3. The formula of the conjugate acid of the brønsted-lowry base: H₂CO₃

4. The formula of the conjugate acid of the brønsted-lowry base:

C₆H₅NH₃⁺

5. The acidic equilibrium equation for HC₂H₃O₂: HC₂H₃O₂ + H₂O ⇌ H₃O⁺ + C₂H₃O²⁻

6. The basic equilibrium equation for C₆H₅NH₂

C₆H₅NH₂ + H₂O ⇌ C₆H₅NH₃⁺ + OH⁻

7. The basic equilibrium equation for NH₃

NH₃ + H₂O ⇌ NH₄⁺ + OH⁻

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NAD+ is the most common electron carrier needed for both glycolysis and the citric acid cycle. It is a coenzyme and is involved in redox reactions.

It is an oxidized form of NADH, which is the reduced form. During the oxidation of organic molecules, NAD+ will accept electrons and become NADH. During the reduction of organic molecules, NADH will give electrons and become NAD+.

During glycolysis, NAD+ is used to accept electrons from the oxidation of glucose, creating NADH and releasing energy for the ATP production. During the citric acid cycle, NAD+ accepts electrons from the oxidation of acetyl CoA, creating NADH and releasing energy for the ATP production. The NADH produced in both glycolysis and the citric acid cycle can be used in the electron transport chain to produce ATP.

In summary, NAD+ is an oxidized form of NADH and it is essential in both glycolysis and the citric acid cycle to produce energy in the form of ATP.

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Answer:

C

Explanation:

First of all, the law of conservation of matter states that " In an ordinary chemical reaction, the mass of the products is equal to the mass of the reactants."

So, the answer should be C since the mass of Al and O₂ is equal on both the reactant's and product's side.

4Al + 3O₂ → 2Al₂O₃

Reactants Side: 4 aluminum and 6(3*2) oxygen

Products Side: 4(2*2) aluminum and 6(2*3) oxygen

To solve this problem, we need to use the pH formula:

pH = -log[H+]

where [H+] represents the concentration of hydrogen ions in moles per liter (M).

To find [H+], we can rearrange the formula:

[H+] = 10^(-pH)

Substituting pH = 3.69, we get:

[H+] = 10^(-3.69) = 2.21 × 10^(-4) M

Since hydrochloric acid is a strong acid, it completely dissociates in water to give hydrogen ions and chloride ions:

HCl(aq) → H+(aq) + Cl-(aq)

Therefore, the concentration of hydrochloric acid required to give a solution with a pH of 3.69 is also 2.21 × 10^(-4) M.

The strongest type of intermolecular force present between the hydrocarbon chains of neighboring stearic acid molecules is the van der Waals dispersion force, also known as London dispersion force.

This force arises due to temporary dipoles that are created by the random motion of electrons in the molecule. These temporary dipoles induce similar dipoles in the neighboring molecules, leading to an attractive force between them.

In stearic acid, the hydrocarbon chain is nonpolar, which means that there are no permanent dipoles in the molecule. However, the electrons in the molecule are not always distributed symmetrically, leading to temporary dipoles that can induce similar dipoles in other stearic acid molecules.

The strength of the van der Waals force depends on the size of the molecule and the number of electrons in it. Stearic acid has a relatively long hydrocarbon chain, which means that it has a large surface area and a large number of electrons, making the van der Waals force between its molecules relatively strong.

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Because the fourth electron of each carbon atom is unbound, graphite conducts electricity. As a result of the existence of free electrons in the structure, we may deduce that graphite is an excellent conductor of electricity.

For question 3, we can use the relationship pH + pOH = 14 to solve for the pH, which is 1.96.

Then, we can use the equation Kw = [[H₃O⁺][OH⁻] = 1.0 x 10⁻¹⁴ to solve for the hydronium concentration, which is 5.01 x 10⁻¹³ M.

For question 4, we can use the equation for the acid dissociation constant (Ka) to solve for the concentration of the conjugate base, F-. Ka = [H₃O⁺][F⁻]/[HF].

We know the concentration of HF is 2.5 moles, so we can convert this to molarity using the volume of the solution. Then, we can plug in the values we have and solve for [F-], which is 2.77 M. This solution will be acidic, as the Ka value is less than 1.

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The volume of oxygen gas produced at STP when 3.81 g of Mg(ClO₃)₂ decomposes is 0.511 L.

When magnesium chlorate (Mg(ClO₃)₂) is decomposed, oxygen gas and magnesium chloride are produced. To find the volume of oxygen gas at STP when 3.81 g of Mg(ClO₃)₂ decomposes, follow these steps:

1. Write the balanced chemical equation for the decomposition of magnesium chlorate:
  Mg(ClO₃)₂ (s) → 2ClO₂ (g) + MgCl₂ (s)

2. Calculate the molar mass of Mg(ClO₃)₂:
  Mg: 24.31 g/mol
  Cl: 35.45 g/mol (2 Cl atoms)
  O: 16.00 g/mol (6 O atoms)
  Total: 24.31 + (2 x 35.45) + (6 x 16.00) = 167.21 g/mol

3. Determine the moles of Mg(ClO₃)₂:
  Moles = (mass of Mg(ClO₃)₂) / (molar mass of Mg(ClO₃)₂)
  Moles = 3.81 g / 167.21 g/mol ≈ 0.0228 mol

4. Use the balanced equation to find the moles of oxygen gas produced:
  From the equation, 1 mol of Mg(ClO₃)₂ produces 1 mol of O₂. Therefore, 0.0228 mol of Mg(ClO₃)₂ will produce 0.0228 mol of O₂.

5. Use the molar volume of a gas at STP (22.4 L/mol) to find the volume of O₂ produced:
  Volume of O₂ = (moles of O₂) x (molar volume at STP)
  Volume of O₂ = 0.0228 mol x 22.4 L/mol ≈ 0.511 L

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A single compound decomposes into two or more smaller compounds or components during a decomposition reaction. Option D

A number of mechanisms, such as heat, light, or the addition of another molecule, can cause this. A significant quantity of potential energy is often held in the chemical bonds of the reactant component, and this energy is released during the reaction.

For instance, hydrogen peroxide's typical breakdown reaction involves the molecule dissolving into water and oxygen gas:

[tex]2H_2O_2 \rightarrow 2 H_2O + O_2[/tex]

The heat breakdown of calcium carbonate to produce calcium oxide and carbon dioxide gas is another illustration:

[tex]CaO + CO_2 = CaCO_3[/tex]

Decomposition reactions are crucial components of several chemical processes in both nature and industry. They are characterised by the dissolution of bigger molecules into smaller ones. Option D

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The concentration of the NaOH solution is approximately 0.00624 M.

To find the concentration of the NaOH solution, you can use the titration formula:

M1V1 = M2V2

where M1 is the concentration of HCl (0.010 M), V1 is the volume of HCl (15.6 mL), M2 is the concentration of NaOH (unknown), and V2 is the volume of NaOH (25.0 mL).

0.010 M * 15.6 mL = M2 * 25.0 mL

Now, solve for M2:

M2 = (0.010 M * 15.6 mL) / 25.0 mL
M2 ≈ 0.00624 M

So, the concentration of the NaOH solution is approximately 0.00624 M.

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The concentration of Cu(OH) is 0.185 M.

To find the concentration of Cu(OH), we need to use the balanced chemical equation for the neutralization reaction:
Cu(OH)₂ + 2 H₂(C₂₀₄)  → Cu(C₂₀₄) )₂ + 4H2O

From the equation, we can see that 2 moles of  H₂(C₂₀₄)  react with 1 mole of Cu(OH)₂.

Therefore, we can use the following equation to calculate the moles of Cu(OH)₂:
moles of Cu(OH)₂ = moles of  H₂(C₂₀₄) / 2

To find the moles of  H₂(C₂₀₄) , we can use the concentration and volume of the H₂(C₂₀₄)  solution:
moles of  H₂(C₂₀₄)  = concentration of  H₂(C₂₀₄)  x volume of  H₂(C₂₀₄)  (in liters)

We need to convert the volume of the  H₂(C₂₀₄)  solution from milliliters to liters:
volume of  H₂(C₂₀₄)  = 47.8 mL = 0.0478 L

Substituting the given values, we get:
moles of H₂(C₂₀₄) = 0.56 M x 0.0478 L = 0.026768 moles

Now we can calculate the moles of Cu(OH)₂:
moles of Cu(OH)₂ = 0.026768 moles / 2 = 0.013384 moles

To find the concentration of Cu(OH), we need to divide the moles of Cu(OH)₂ by the volume of the Cu(OH) solution in liters:
concentration of Cu(OH) = moles of Cu(OH)₂ / volume of Cu(OH) (in liters)

We need to convert the volume of the Cu(OH) solution from milliliters to liters:
volume of Cu(OH) = 72.4 mL = 0.0724 L

Substituting the calculated values, we get:
concentration of Cu(OH) = 0.013384 moles / 0.0724 L = 0.185 M
Therefore, the concentration of Cu(OH) is 0.185 M.

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The solubility product constant (Ksp) for Ag2CrO4 is given by the following equation:

Ag2CrO4(s) ⇌ 2Ag+(aq) + CrO4^(2-)(aq)

The expression for Ksp is:

Ksp = [Ag+]^2[CrO4^(2-)]

where [Ag+] and [CrO4^(2-)] are the concentrations of the silver ion and chromate ion in the equilibrium mixture, respectively.

To determine the value of Q, the reaction quotient, we need to determine the concentrations of Ag+ and CrO4^(2-) in the mixture of 5.00 mL of 0.0040 M AgNO3 and 4.00 mL of 0.0024 M K2CrO4. To do this, we need to make some assumptions:

1. The volumes of the two solutions are additive, so the total volume is 9.00 mL.

2. The AgNO3 and K2CrO4 solutions react completely to form Ag2CrO4.

First, we need to determine the moles of Ag+ and CrO4^(2-) in each solution:

For the AgNO3 solution:

moles of Ag+ = (0.0040 M) x (0.00500 L) = 2.0 x 10^-5 mol

For the K2CrO4 solution:

moles of CrO4^(2-) = (0.0024 M) x (0.00400 L) = 9.6 x 10^-6 mol

Since the AgNO3 and K2CrO4 react in a 1:1 ratio to form Ag2CrO4, the limiting reactant is K2CrO4. Therefore, all of the CrO4^(2-) is used up in the reaction, and the concentration of CrO4^(2-) in the equilibrium mixture is zero.

The concentration of Ag+ in the equilibrium mixture is:

[Ag+] = moles of Ag+ / total volume of mixture

[Ag+] = (2.0 x 10^-5 mol) / (9.00 x 10^-6 L)

[Ag+] = 2.22 M

Now, we can calculate the value of Q:

Q = [Ag+]^2[CrO4^(2-)] = (2.22 M)^2(0 M) = 0

Since Q is equal to zero and Ksp is greater than zero (1.8 x 10^-10), the reaction is not at equilibrium and Ag2CrO4 will precipitate from the solution.

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The atomic weight of the metal is 36 g/mol.

To solve this problem, we need to use the concept of equivalent weight. The equivalent weight of a divalent metal is equal to its atomic weight divided by its valency, which in this case is 2.

First, let's calculate the number of equivalents of H2SO4 present in the solution.

4.9 g of H2SO4 per liter of solution means that there are 4.9/98 = 0.05 moles of H2SO4 per liter.

So in 250 cc (or 0.25 liters) of solution, there are 0.05 x 0.25 = 0.0125 moles of H2SO4.

Since H2SO4 is a diprotic acid, each mole of H2SO4 can donate 2 equivalents of H+. Therefore, the total number of equivalents of H+ present in the solution is 2 x 0.0125 = 0.025.

Now let's calculate the number of equivalents of alkali (which we know is N/10 or 0.1 N) required to neutralize 50 cc of the solution.

20 cc of N/10 alkali is equal to 0.002 equivalents of alkali (since N/10 alkali has a normality of 0.1, which means it can donate 0.1 equivalents of OH- per liter of solution).

Since the acid and alkali react in a 1:1 ratio, this means that there are also 0.002 equivalents of H+ in 50 cc of the solution.

Therefore, the initial number of equivalents of H+ in the solution must have been 0.025 + 0.002 = 0.027.

Now we can use this information to calculate the number of equivalents of metal present in the solution.

Since the metal is divalent, it will donate 2 equivalents of metal ions for every 1 equivalent of H+ that it reacts with.

Therefore, the number of equivalents of metal present in the solution is 0.027/2 = 0.0135.

Finally, we can calculate the atomic weight of the metal using the formula:

Atomic weight = Equivalent weight x Valency

In this case, the equivalent weight is equal to the atomic weight divided by 2 (since the metal is divalent).

So:

Atomic weight = Equivalent weight x 2

Atomic weight = (0.018 g / 0.0135 equivalents) x 2

Atomic weight = 36 g/mol

Therefore, the atomic weight of the metal is 36 g/mol.

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About 2.0 billion years ago, the atmosphere of the Earth was rich in carbon dioxide and lacked oxygen.  The correct answer is G.

However, over time, photosynthetic organisms like cyanobacteria began to evolve and release oxygen into the atmosphere.

This event, known as the Great Oxygenation Event, fundamentally altered the chemistry of the Earth's atmosphere and allowed for the development of complex organisms. The availability of oxygen facilitated the evolution of aerobic respiration, which allowed for more efficient energy production and the development of complex, multicellular organisms.

Therefore, the primary reason for the development of complex organisms about 2.0 billion years ago was the changes in atmospheric gases, specifically the increase in atmospheric oxygen.

The eruption of volcanoes and the impact of comets may have also played a role in the evolution of life on Earth, but the changes in atmospheric gases were the driving force behind the development of complex organisms.

The correct answer is G.

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3.75 moles CO₂ × 22.4 L/mole = 84 liters of CO₂ are produced when 32.6 liters of propane gas reacts with excess oxygen at STP.

Based on the balanced equation provided, 1 mole of propane gas (C₃H₈) reacts with 5 moles of oxygen gas (O₂) to produce 3 moles of carbon dioxide gas (CO₂) at STP (Standard Temperature and Pressure, which is 0°C and 1 atm pressure).

To determine the number of moles of propane gas (C₃H₈) in 32.6 liters, we need to use the Ideal Gas Law:

PV = nRT

where P is the pressure (1 atm), V is the volume (32.6 L), n is the number of moles, R is the ideal gas constant (0.0821 L•atm/mol•K), and T is the temperature in Kelvin (273 K at STP).

Rearranging the equation to solve for n, we get:
n = PV/RT = (1 atm)(32.6 L)/(0.0821 L•atm/mol•K)(273 K) = 1.25 moles of C₃H₈

Since 1 mole of C₃H₈ produces 3 moles of CO₂, we can use a mole ratio to determine the number of moles of CO₂ produced:
1.25 moles C₃H₈ × 3 moles CO₂/1 mole C₃H₈ = 3.75 moles CO₂

Finally, we can convert moles to volume at STP using the molar volume of a gas:
1 mole of gas = 22.4 L at STP

So, 3.75 moles CO₂ × 22.4 L/mole = 84 liters of CO₂ are produced when 32.6 liters of propane gas reacts with excess oxygen at STP.

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We need 157 grams of K₂SO4 to prepare 2.25 L of a 0.400 M solution.

To calculate the grams of K₂SO4 needed to prepare a 0.400 M solution in 2.25 L, we need to use the formula:

moles = Molarity x Volume

First, we can calculate the moles of K₂SO4 required:

moles = 0.400 mol/L x 2.25 L = 0.90 moles

Next, we can use the molar mass of K₂SO4 to convert the moles to grams:

molar mass of K₂SO4 = 2 x (39.10 g/mol for K) + 1 x (32.06 g/mol for S) + 4 x (16.00 g/mol for O) = 174.24 g/mol

grams = moles x molar mass = 0.90 moles x 174.24 g/mol = 157 g

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The commonly used rules of thumb used by chemists to make buffers are:

Buffers are solutions that resist changes in pH when small amounts of acid or base are added to them. They are commonly used in many chemical and biological applications. The rules of thumb mentioned above provide guidelines for making effective buffers. Rule a) ensures that there is an adequate amount of buffering capacity in the solution. Rule b) is based on the fact that weak acids have a pH-dependent dissociation constant, and therefore, the pH of a buffer made from a weak acid will be close to the pKa of the weak acid.

Similarly, the pH of a buffer made from a weak base will be close to the pKa of the conjugate acid. Rule c) ensures that the buffering capacity of the solution is optimized by selecting the appropriate pKa value. Overall, these rules of thumb help chemists to design effective buffers that can maintain a stable pH over a range of conditions.

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The type of waves that come naturally from the decay of radioactive isotopes and are used in medicine for diagnostic imaging are gamma rays.

Gamma rays are a type of electromagnetic radiation with the highest energy and shortest wavelength in the electromagnetic spectrum. They are produced naturally by the decay of radioactive isotopes, such as uranium and radon, and are also emitted during nuclear reactions and explosions.

In medicine, gamma rays are used in a diagnostic imaging technique called gamma-ray spectroscopy, which detects and measures gamma rays emitted by radioactive isotopes in the body. This technique can be used to diagnose various conditions, such as cancer and heart disease, by identifying areas of the body with abnormal radioactive activity.

Gamma rays are also used in radiation therapy to treat cancer. In this treatment, high-energy gamma rays are directed at cancerous cells to damage and kill them. However, the high energy of gamma rays can also damage healthy cells, so careful targeting and dose management is necessary to minimize side effects.

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The abaxial (lower) surface of the sepal is typically more damaged than the adaxial (upper) surface, as it is more exposed to pollutants in the air.

Air pollution can damage the sepal of a flower in various ways. Pollutants in the air can reduce the size and number of stomata, which are small pores that allow for gas exchange in the leaf tissue.

The concentration of minerals in the tissue can also be altered by pollution, which can affect plant growth and development. Additionally, air pollution can cause the cuticle, a waxy layer that covers the leaf surface, to become thicker. This can further restrict gas exchange and reduce photosynthesis.

Studies have shown that the abaxial surface of the sepal is typically more damaged by pollution than the adaxial surface. This is likely due to the fact that the abaxial surface is more exposed to pollutants in the air.

The stomata on the abaxial surface may close or become blocked due to the accumulation of pollutants, which can lead to reduced gas exchange and decreased photosynthesis. The thickening of the cuticle on the abaxial surface can further restrict gas exchange and exacerbate the effects of pollution.

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Answer:

when u stop at great speed in a vechial your body is in still in motion

Explanation:

The weight of NaCl in a 0.500 L bottle of 2.00 M NaCl solution is 58.44 grams.

To calculate the weight of NaCl in a 0.500 L bottle of 2.00 M NaCl solution, we need to use the formula:

Mass = Moles x Molar mass

First, let's calculate the number of moles of NaCl in the solution:

Moles = Molarity x Volume

Moles = 2.00 mol/L x 0.500 L

Moles = 1.00 mol

The molar mass of NaCl is 58.44 g/mol, so we can now calculate the mass of NaCl in the solution:

Mass = moles x molar mass

Mass = 1.00 mol x 58.44 g/mol

Mass = 58.44 g

Therefore, the weight of NaCl in a 0.500 L bottle of 2.00 M NaCl solution is 58.44 grams.

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After four half-lives, 12.5 grams of the parent isotope will be left in a sample that originally contained 140 grams of an unstable isotope.

The amount of the parent isotope remaining after a certain number of half-lives can be calculated using the formula:

Remaining amount = Initial amount x (1/2)^(number of half-lives)

For this problem, the initial amount of the unstable isotope is 140 g, and it goes through 4 half-lives.

One half-life is the time it takes for half of the original sample to decay, and the number of half-lives is equal to the total time elapsed divided by the length of one half-life.

If we know the half-life of the isotope, we can find the total time elapsed. Let's assume the half-life of the isotope is 10 days.

After 10 days, half of the initial sample will remain:

Remaining amount = 140 g x (1/2)¹ = 70 g

After another 10 days (20 days total), half of the remaining sample will decay:

Remaining amount = 70 g x (1/2)¹ = 35 g

After another 10 days (30 days total), half of the remaining sample will decay again:

Remaining amount = 35 g x (1/2)¹ = 17.5 g

After another 10 days (40 days total), half of the remaining sample will decay once more:

Remaining amount = 17.5 g x (1/2)¹ = 8.75 g

Therefore, after 4 half-lives (40 days), there will be approximately 8.75 g of the parent isotope remaining.

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The volume of the balloon after the dry ice sublimes will be 3.40 L at STP.

The balanced chemical equation for the sublimation of solid CO₂ is:

CO₂(s) → CO₂(g)

At STP (standard temperature and pressure), which is 0°C (273.15 K) and 1 atm (101.325 kPa), one mole of any ideal gas occupies 22.4 L of volume. We can use this information to calculate the volume of CO₂ gas produced by the sublimation of 7.00 g of dry ice.

First, we need to convert the mass of dry ice to moles of CO₂ using the molar mass of CO₂, which is 44.01 g/mol:

7.00 g CO₂ × (1 mol CO₂/44.01 g CO₂) = 0.159 moles CO₂

Next, we can use the ideal gas law to calculate the volume of CO₂ gas produced:

PV = nRT

where P is the pressure (1 atm), V is the volume we want to find, n is the number of moles of CO₂ (0.159 moles), R is the gas constant (0.08206 L·atm/mol·K), and T is the temperature (273.15 K):

V = nRT/P = (0.159 mol)(0.08206 L·atm/mol·K)(273.15 K)/(1 atm) = 3.40 L

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Answer:

Rameshwaram Gandhamadan mountain

186.48 g of [tex]Na_2CS_3[/tex] were generated throughout the reaction.

The balanced chemical equation is:

[tex]3CS_2[/tex] + 6NaOH → [tex]2Na_2CS_3[/tex] + NaOH + [tex]3H_2O[/tex]

The molar mass of [tex]CS_2[/tex] is 76.14 g/mol, and the molar mass of [tex]2Na_2CS_3[/tex] is 192.23 g/mol.

To find the limiting reactant, we need to calculate the number of moles of each reactant. Using the given mass of [tex]CS_2[/tex]:

110.88 g [tex]CS_2[/tex] / 76.14 g/mol = 1.456 mol [tex]CS_2[/tex]

Using the given number of moles of [tex]NaOH[/tex]:

3.12 mol [tex]NaOH[/tex]

We can see that [tex]CS_2[/tex] is the limiting reactant, since it has fewer moles than [tex]NaOH[/tex]. Therefore, we will use the amount of [tex]CS_2[/tex] to calculate the amount of [tex]Na_2CS_3[/tex] produced.

From the balanced equation, we can see that 3 mol of [tex]CS_2[/tex] produces 2 mol of [tex]Na_2CS_3[/tex]. So, 1.456 mol of [tex]CS_2[/tex] will produce:

(2 mol [tex]Na_2CS_3[/tex] / 3 mol [tex]CS_2[/tex]) * 1.456 mol [tex]CS_2[/tex] = 0.971 mol [tex]Na_2CS_3[/tex]

Now, we can use the molar mass of [tex]Na_2CS_3[/tex] to calculate the mass produced:

0.971 mol [tex]Na_2CS_3[/tex] * 192.23 g/mol = 186.48 g [tex]Na_2CS_3[/tex]

Therefore, the mass of [tex]Na_2CS_3[/tex] produced in the reaction is 186.48 g.

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Answer:

They forge heavy elements in their cores, explode as supernovas, and expel these elements into space.

Explanation: