1 If you had a sample of 2400 radioactive atoms, how many of
them should you expect to remain (be undecayed) after one
half-life?
2 If one half-life for your coin flips represents 36 years, what
amoun

Answers

Answer 1

1. 1200 atoms

2. 1/4 or 25% of the original amount

1) Undecayed atoms = Initial atoms * (1/2)^(Number of half-lives)

Given:

Initial atoms = 2400

Number of half-lives = 1

Undecayed atoms = 2400 * (1/2)^(1) = 2400 * (1/2) = 1200 atoms

2) Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given:

Number of half-lives = 2

Remaining amount = Initial amount * (1/2)^(2) = Initial amount * (1/2)^2 = Initial amount * 1/4 = 1/4 of the Initial amount

Since one half-life represents 36 years, two half-lives would represent 2 * 36 = 72 years. After 72 years, the remaining amount would be 1/4 or 25% of the initial amount.

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Related Questions

Select the following terms to describe the relative concentrations of the molecules listed below if TAC cycle is completely inactive: assuming there is no electron shuttle and no other metabolic ways involved. 00 [mitochondrial FADH2] [cytosolic NADH] [pyruvate] [mitochondrial ATP] Acetyl-CoA [mitochondrial ADP] 1. Normal 2. Higher than normal 3. Lower than normal 4. None

Answers

For the given relative concentrations of the molecule we have: option 1, Normal, option 2, Higher than normal, option 3, Lower than normal and option 4, None, is the correct answer.

Given terms are: [mitochondrial FADH2] [cytosolic NADH] [pyruvate] [mitochondrial ATP] Acetyl-CoA [mitochondrial ADP].

The relative concentrations of the molecules listed below if TAC cycle is completely inactive are:

None [mitochondrial FADH2][cytosolic NADH][pyruvate]Higher than normal [mitochondrial ATP]

Lower than normal Acetyl-CoA[mitochondrial ADP]

The TAC cycle is responsible for the production of high energy ATP molecules.

If the TAC cycle is inactive, then there will be no energy generated. Therefore, the concentration of mitochondrial ATP will be None, and the concentration of mitochondrial FADH2 and cytosolic NADH will be higher than normal.

However, without the TAC cycle, the concentration of Acetyl-CoA will be lower than normal and the concentration of mitochondrial ADP will also be lower than normal.

Thus, the relative concentrations of the molecules listed below if the TAC cycle is completely inactive will be: None [mitochondrial FADH2] [cytosolic NADH] [pyruvate]Higher than normal [mitochondrial ATP]

Lower than normal Acetyl-CoA[mitochondrial ADP].

Therefore, option 1, Normal, option 2, Higher than normal, option 3, Lower than normal and option 4, None, is the correct answer.

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Water has the following composition: pH = 7.8 HCO32 = 85 mg/L as CaCO3 Ca²+ = 32 mg/L as CaCO3 Mg2+ = 40 mg/L as CaCO3 The following three questions pertain to this water. What is the highest theoretical concentration of Ca2+ (M) that can be dissolved at this pH in equilibrium with Ca(OH)₂(s) assuming no other calcium solids will form? Note: Don't be alarmed - it will be a large number! Ca(OH)(s) <--> Ca²+ + 2OH Kp-10:53

Answers

The first step in solving this problem is to calculate the activity product of calcium ions in the water to determine the saturation state of calcium with respect to Ca(OH)₂ (s).Then, using the solubility product (Ksp) of calcium hydroxide, we can calculate the theoretical maximum concentration of calcium ions in the water.

For Ca(OH)₂(s), the equilibrium expression is Ca(OH)(s) <--> Ca²+ + 2OH Kp-10:53The equilibrium constant, Kp-10:53, for this reaction is equal to the solubility product of Ca(OH)₂ (s) because it is an ionic solid. The Ksp of Ca(OH)₂ (s) is given as Ksp= [Ca²+][OH]². Using this, we can calculate the activity product, Q, for calcium ions in the water at equilibrium with Ca(OH)₂ (s):Q = [Ca²+][OH]²

the activity product of calcium ions in the water is:Q = [Ca²+][OH-]²= [Ca²+](1.58 x 10-8)²= 3.97 x 10-17The equilibrium constant, Kp-10:53, is equal to Ksp= [Ca²+][OH-]², so we can write:Ksp = [Ca²+](1.58 x 10-8)²Ksp/(1.58 x 10-8)² = [Ca²+]= (10-10.53)/(1.58 x 10-8)² = 3.24 x 10-6 mol/LThis is the theoretical maximum concentration of calcium ions that can exist in the water without precipitation of calcium solids. Note that this is an extremely high concentration of calcium ions.

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Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) causes the disease known as COVID-19. The virus has a lipid bilayer envelope that holds its other components together, and helps it to adhere to the oils on human skin. b) Explain in your own words how soap molecules might interact with this virus, and why washing your hands with soap or another surfactant is a simple way of removing it from the skin. Illustrate your answer with one or more diagrams. c) Although crystalline solids may contain cubic structures, liquid droplets and bubbles are usually spherical. Explain why droplets and bubbles are not cubic or some other polyhedral shape. d) Calculate the surface tension of a liquid if it rises 0.080 m in a capillary of radius 3 10-5 m, with a contact angle of 10. The acceleration due to gravity is 9.8 m s-2 the density of the liquid at 25 C is 900 kg m-3, and you can assume that the density of the liquid vapour is zero. Comment on the reason for the sign of the answer. Under what circumstances would you gimage basedet the opposite sign? (10 marks)

Answers

a) Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) causes the disease known as COVID-19. The virus has a lipid bilayer envelope that holds its other components together, and helps it to adhere to the oils on human skin.

b) Soap molecules interact with the virus by dissolving the lipid bilayer envelope, which consists of a thin layer of lipids and proteins on the outside of the virus. Soap molecules contain two ends; one is polar and hydrophilic (water-loving) and the other is non-polar and hydrophobic (water-hating).

The hydrophilic end dissolves in water, while the hydrophobic end dissolves in fats and lipids. The hydrophobic end of the soap molecules can enter the lipid bilayer and surround the lipids and proteins of the virus, while the hydrophilic end of the soap molecules is attracted to the water molecules. As a result, the virus is disrupted and disintegrated.

Washing your hands with soap or another surfactant is a simple way of removing it from the skin as it dissolves the lipid bilayer envelope and breaks the virus into smaller pieces, preventing its transmission to other surfaces and people.

c) Droplets and bubbles are usually spherical rather than cubic or some other polyhedral shape because a sphere has the least surface area of all the possible shapes with a fixed volume. When a droplet or a bubble is formed, the surface tension pulls the surface of the liquid into the smallest surface area, which is a sphere. The surface tension is the reason why liquids tend to form spheres, which can be seen in raindrops, water droplets on a leaf, and soap bubbles.

d)The formula for surface tension is T = 2prρghwhere T is the surface tension of the liquid, p is the contact angle, r is the radius of the capillary tube, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height the liquid rises in the capillary tube.

Substituting the given values into the formula,

T = 2 × 3.14 × 3 × 10^-5 × 900 × 9.8 × 0.080 / 10°

T = 0.037 N/m

The reason for the sign of the answer is that the surface tension is a force that acts to reduce the surface area of a liquid. The force is always directed towards the center of the liquid, which is why it is a positive quantity. If the surface area of the liquid were to increase, the surface tension would act to reduce it again. Therefore, it is always positive.

Under the circumstances where the liquid is repelled by the capillary tube, the sign of the answer would be negative. This happens when the contact angle is greater than 90°.

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Question 12 of 24 Submit What is the correct common name for the compound shown here? methyl iso propyl ether ether

Answers

The correct common name for the compound shown below is Methyl isopropyl ether. So, the option "methyl iso propyl ether" is correct.

Common names are not standardized names, and they may differ from one place to another. The IUPAC (International Union of Pure and Applied Chemistry) system is the standard way of naming chemical compounds. UPAC is best known for its works standardizing nomenclature in chemistry, but IUPAC has publications in many science fields including chemistry, biology and physics.  Some important work IUPAC has done in these fields includes standardizing nucleotide base sequence code names; publishing books for environmental scientists, chemists, and physicists; and improving education in science  The names can be long, but they are precise and identify the chemical compound exactly. The IUPAC name for the compound shown below is  1-methoxy-2-methylpropane or alternatively methyl 2-methoxypropane.

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QUESTION 7 What is the pH of water? O pH12 O pH9 O pH7 O pH5 QUESTION 8 What is the pH when fish die from pollution? O pH12 O pH9 O pH7 O pH4 QUESTION 9 A solution with a pH less than 7 is basic. O True O False

Answers

7. The pH of water is pH7.

The pH scale measures the acidity or alkalinity of a substance. It ranges from 0 to 14, with pH7 considered neutral. Water has a pH of 7, indicating that it is neither acidic nor basic. It is important to note that the pH of pure water can vary slightly due to the presence of dissolved gases and minerals, but it generally remains close to pH7.

8. When fish die from pollution, the pH is typically around pH4.

Pollution can introduce harmful substances into water bodies, leading to a decrease in pH. Acidic pollutants, such as sulfur dioxide and nitrogen oxides, can cause the pH of water to drop significantly. When fish are exposed to highly acidic water, their physiological processes are disrupted, and they may die as a result. A pH of around pH4 is considered highly acidic and can be detrimental to aquatic life.

9. A solution with a pH less than 7 is acidic.

This statement is false. A solution with a pH less than 7 is actually considered acidic, not basic. The pH scale ranges from 0 to 14, with pH7 being neutral. Solutions with a pH below 7 are acidic, indicating a higher concentration of hydrogen ions (H+) in the solution. On the other hand, solutions with a pH above 7 are basic or alkaline, indicating a higher concentration of hydroxide ions (OH-) in the solution.

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a Following are three organic acids and the pk, of each: pyruvic acid, 3.08; benzoic acid, 4.19; and citric acid, 2.10. What is the K, of each acid? Ka( citric acid) - Which of the three is the strong

Answers

The equilibrium constant (Kₐ) can be calculated using the pKₐ values of the acids. The Kₐ values for pyruvic acid, benzoic acid, and citric acid are approximately 10⁻¹¹, 10⁻⁴, and 10⁻¹ respectively. Among the three acids, citric acid has the highest Kₐ and therefore is the strongest acid.

The equilibrium constant (Kₐ) is related to the pKₐ by the equation Kₐ = 10^(-pKₐ). Using this relationship, we can calculate the Kₐ values for each acid based on their given pKₐ values.

For pyruvic acid with a pKₐ of 3.08, the Kₐ is approximately 10^(-3.08), which is around 10⁻¹¹. This indicates that pyruvic acid is a relatively weak acid.

For benzoic acid with a pKₐ of 4.19, the Kₐ is approximately 10^(-4.19), which is around 10⁻⁴. Benzoic acid is stronger than pyruvic acid but weaker than citric acid.

For citric acid with a pKₐ of 2.10, the Kₐ is approximately 10^(-2.10), which is around 10⁻¹. Citric acid has the highest Kₐ value among the three acids, indicating that it is the strongest acid.

Therefore, based on the Kₐ values, citric acid is the strongest acid among pyruvic acid, benzoic acid, and citric acid.

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