What is the value of the equilibrium constant for the
conjugate acid, K., for a base that has a Kg = 5,28 x10-h
O 1.00x 10-14
O 1.89 x 10-6
O 6.46 x 10
0 249 x 10-5

Answers

Answer 1

The value of the equilibrium constant for the conjugate acid (Kₐ) is 1.89 x 10^-6.

In an acid-base reaction, the equilibrium constant (K) is defined as the ratio of the concentration of products to the concentration of reactants at equilibrium. For a weak base and its conjugate acid, the equilibrium constant is given by the expression:

K = [conjugate acid] / [base]

Given that the value of K for the base (K_b) is 5.28 x 10^-11, we can use the relationship between K_b and Kₐ, which is given by the equation:

K_b × Kₐ = 1.00 x 10^-14

Rearranging the equation, we find:

Kₐ = 1.00 x 10^-14 / K_b

Substituting the given value for K_b, we get:

Kₐ = 1.00 x 10^-14 / (5.28 x 10^-11) = 1.89 x 10^-6

Therefore, the value of the equilibrium constant for the conjugate acid (Kₐ) is 1.89 x 10^-6.

The equilibrium constant for the conjugate acid can be calculated using the relationship between the equilibrium constants for the base and the conjugate acid.

By dividing the value of 1.00 x 10^-14 by the given equilibrium constant for the base (K_b), the value of Kₐ is determined to be 1.89 x 10^-6. This value represents the ratio of the concentration of the conjugate acid to the concentration of the base at equilibrium in the acid-base reaction.

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Related Questions

Balance the combustion reaction in order to answer the question. Use lowest whole-number coefficients. combustion reaction: C₂H₂ + O₂ - CO,+H,O A conbustion reaction occurs between 5.5 mol O₂

Answers

The balanced combustion reaction is 2C₂H₂ + 5O₂ → 4CO + 2H₂O.

To balance the combustion reaction C₂H₂ + O₂ → CO + H₂O, we need to ensure that the number of atoms of each element is the same on both sides of the equation. Let's start by balancing the carbon atoms. There are two carbon atoms on the left side (2C₂H₂) and one carbon atom on the right side (CO). To balance the carbon atoms, we need a coefficient of 2 in front of CO.

Next, let's balance the hydrogen atoms. There are four hydrogen atoms on the left side (2C₂H₂) and two hydrogen atoms on the right side (H₂O). To balance the hydrogen atoms, we need a coefficient of 2 in front of H₂O.

Now, let's balance the oxygen atoms. There are four oxygen atoms on the right side (2CO + H₂O) and only two oxygen atoms on the left side (O₂). To balance the oxygen atoms, we need a coefficient of 5 in front of O₂.

The balanced combustion reaction is:

2C₂H₂ + 5O₂ → 4CO + 2H₂O.

In this balanced equation, there are two molecules of C₂H₂ reacting with five molecules of O₂ to produce four molecules of CO and two molecules of H₂O.

In conclusion, to balance the combustion reaction C₂H₂ + O₂ → CO + H₂O, we need the coefficients 2, 5, 4, and 2, respectively, resulting in the balanced equation 2C₂H₂ + 5O₂ → 4CO + 2H₂O.

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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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A.)How much heat is required to raise the
temperature of 88.0 gg of water from its melting point to its
boiling point?
Express your answer numerically in kilojoules
B.) Calculate the mass percent (m/m

Answers

To calculate the amount of heat required to raise the temperature of 88.0 g of water from its melting point to its boiling point, we need to determine the heat energy needed for each phase transition and the heat energy needed to raise the temperature within each phase. The answer should be expressed numerically in kilojoules.

1. Melting: The heat required to raise the temperature of ice (water at its melting point) to 0°C is given by the equation Q = mcΔT, where Q is the heat energy, m is the mass, c is the specific heat capacity of ice (2.09 J/g°C), and ΔT is the change in temperature. In this case, the change in temperature is 0 - (-100) = 100°C. Calculate the heat required for this phase transition.

2. Heating within the liquid phase: The heat required to raise the temperature of liquid water from 0°C to 100°C is given by the equation Q = mcΔT, where c is the specific heat capacity of liquid water (4.18 J/g°C), and ΔT is the change in temperature (100°C - 0°C). Calculate the heat required for this temperature range.

3. Boiling: The heat required to convert liquid water at 100°C to steam at 100°C is given by the equation Q = mL, where m is the mass and L is the heat of vaporization (2260 J/g). Calculate the heat required for this phase transition.

4. Sum up the heat values calculated in steps 1, 2, and 3 to find the total heat energy required to raise the temperature of 88.0 g of water from its melting point to its boiling point.

To express the answer numerically in kilojoules, convert the total heat energy from joules to kilojoules by dividing by 1000.

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For each of the following, generate a TABLE. A. The types of chemical bonds that may contribute to each of the four levels of protein structure, and whether each level or protein structure can be predicted from the protein’s amino acid sequence.

Answers

The table below outlines the types of chemical bonds that contribute to each level of protein structure, along with the predictability of each level from the protein's amino acid sequence.

Proteins have four levels of structure: primary, secondary, tertiary, and quaternary. The primary structure is determined by the sequence of amino acids linked together by peptide bonds. It can be predicted from the protein's amino acid sequence.

Secondary structure refers to local folding patterns, such as alpha helices and beta sheets, stabilized mainly by hydrogen bonds between the backbone atoms. While some aspects of secondary structure can be predicted from the amino acid sequence, it is not always possible to determine the exact conformation.

Tertiary structure involves the overall three-dimensional folding of a single polypeptide chain. It is influenced by various types of bonds, including disulfide bonds between cysteine residues, hydrogen bonds, ionic interactions, and hydrophobic interactions. Predicting the tertiary structure solely from the amino acid sequence is challenging and often requires additional experimental techniques.

Quaternary structure refers to the arrangement of multiple polypeptide chains in a protein complex. It is stabilized by similar types of bonds as tertiary structure and can also be partially predicted from the amino acid sequence.

Overall, while the primary structure is predictable, the higher levels of protein structure (secondary, tertiary, and quaternary) are more complex and their prediction from the amino acid sequence alone is challenging. Experimental techniques such as X-ray crystallography or nuclear magnetic resonance spectroscopy are often required to determine the precise structure of proteins.

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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 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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What is the concentration of iron(II) ions in a saturated
solution of iron(II) sulfide? Ksp(FeS) = (3.640x10^-19) Note: Your
answer is assumed to be reduced to the highest power possible.

Answers

The concentration of iron(II) ions in a saturated solution of iron(II) sulfide is (3.640x10⁻¹⁹).

The solubility product constant (Ksp) is an equilibrium constant that describes the solubility of a sparingly soluble salt. In this case, we are given the Ksp value for FeS, which is (3.640x10⁻¹⁹).

Iron(II) sulfide (FeS) dissociates in water to produce iron(II) ions (Fe²⁺) and sulfide ions (S²⁻). At saturation, the concentration of the dissolved species reaches their maximum value. Since FeS is considered sparingly soluble, the concentration of Fe²⁺ can be assumed to be "x" (in molL⁻¹).

According to the balanced equation for the dissociation of FeS, one mole of FeS produces one mole of Fe²⁺ ions. Therefore, the expression for Ksp can be written as [Fe²⁺][S²⁻] = (3.640x10⁻¹⁹).

Since FeS is a 1:1 stoichiometric compound, the concentration of Fe²⁺ is equal to the solubility of FeS. Thus, we can substitute [Fe⁺²] with "x" in the Ksp expression, giving us x * x = (3.640x10⁻¹⁹).

Simplifying the equation, we find x² = (3.640x10⁻¹⁹), and taking the square root of both sides, we obtain x = 6.032x10⁻¹⁰.

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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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discuss the Biochemistry of vision, focusing on i) what part of
the brain controls eyes and how does it do that, ii) what are the
three types of cones in our eyes and what is each one’s specific
fun

Answers

i) The primary visual cortex, located in the occipital lobe, controls vision by processing visual information received from the eyes.

ii) The three types of cones in our eyes are red, green, and blue cones, each sensitive to different wavelengths of light, allowing us to perceive color vision.

Biochemistry of Vision Vision is the ability of the body to detect light and interpret it as an image. This process of vision occurs in three stages: capture of light by photoreceptors, transmission of signals through the optic nerve, and processing of these signals in the brain.

The biochemistry of vision, therefore, involves the biochemical reactions that take place within the eye to allow us to see.The part of the brain that controls the eyes and how it does thatThe eyes are controlled by the visual cortex, which is located at the back of the brain.

This part of the brain processes the signals that are transmitted from the eyes through the optic nerve. It does this by interpreting the electrical impulses that are generated by the photoreceptors in the retina.What are the three types of cones in our eyes and what is each one’s specific function?

There are three types of cones in the human eye, each with a specific function. These are:S-cones (short-wavelength cones) - these are sensitive to blue light and are responsible for our ability to see blue and violet light.M-cones (medium-wavelength cones) - these are sensitive to green light and are responsible for our ability to see green light.

L-cones (long-wavelength cones) - these are sensitive to red light and are responsible for our ability to see red light.These three types of cones work together to allow us to see all the colors of the visible spectrum. The brain then processes the information received from these cones to create a visual image.

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15.20 a) Propose a mechanism for the following transformation, and explain why the product shown is the major product. CI 1) MeMgBr(2 equiv.) 2) NH4CI, H₂O

Answers

The proposed mechanism for the given transformation involves the addition of MeMgBr (methyl magnesium bromide) followed by treatment with NH4Cl and water. The major product obtained is determined by the electrophilic and nucleophilic character of the reactants involved.

Addition of MeMgBr (methyl magnesium bromide):

MeMgBr, also known as methyl magnesium bromide, is a strong nucleophile and reacts with the electrophilic carbon in the starting compound. In this case, it will attack the carbonyl carbon of the ketone, resulting in the formation of a magnesium alkoxide intermediate.

Treatment with NH4Cl and water:

The next step involves the addition of NH4Cl and water. Ammonium chloride (NH4Cl) and water provide the conditions for hydrolysis of the intermediate. This hydrolysis leads to the formation of an alcohol.

The major product obtained from the given transformation is an alcohol. The addition of MeMgBr as a strong nucleophile attacks the carbonyl carbon, forming a magnesium alkoxide intermediate. Subsequent hydrolysis of this intermediate in the presence of NH4Cl and water results in the formation of the alcohol product. The specific product structure will depend on the starting compound and the specific conditions of the reaction.

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A
sample of gas at 21.63 degrees celsius has a pressure of 0.87 atm.
If the gas is compressed to 2.59 atm, what is the resulting
temperature in degrees celsius?

Answers

A gas initially at 21.63 degrees Celsius and 0.87 atm is compressed to a pressure of 2.59 atm. To determine the resulting temperature is approximately 603.21 degrees Celsius we need to apply the ideal gas law equation

According to the ideal gas law, the relationship between pressure (P), volume (V), temperature (T), and the number of moles of gas (n) is given by the equation PV = nRT, where R is the ideal gas constant.

To find the resulting temperature, we can rearrange the ideal gas law equation as follows: T = (P₂ * T₁) / P₁, where T₁ is the initial temperature and P₁ and P₂ are the initial and final pressures, respectively.

Substituting the given values, the initial temperature T₁ is 21.63 degrees Celsius (or 294.78 Kelvin) and the initial pressure P₁ is 0.87 atm. The final pressure P₂ is 2.59 atm. By plugging these values into the equation, we can calculate the resulting temperature T₂.

Using the equation T₂ = (2.59 atm * 294.78 K) / 0.87 atm, we find the resulting temperature T₂ to be approximately 876.21 Kelvin (or 603.21 degrees Celsius).

Therefore, when the gas is compressed to a pressure of 2.59 atm, the resulting temperature is approximately 603.21 degrees Celsius.

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What are the dissociation products when methanoic acid is mixed
with water?
Group of answer choices:
a. Methanoate ion and hydronium (H3O+)
b. Methanoic acid and hydroxide (OH-)
c. Methanoic acid and

Answers

The dissociation products when methanoic acid (formic acid) is mixed with water are a. Methanoate ion (HCOO-) and hydronium ion (H3O+).

Methanoic acid, also known as formic acid (HCOOH), is a weak acid. When it is mixed with water, it undergoes dissociation, breaking apart into ions. The dissociation reaction can be represented as follows:

HCOOH + H2O ⇌ HCOO- + H3O+

The products of the dissociation are the methanoate ion (HCOO-) and the hydronium ion (H3O+). Here's an explanation of each dissociation product:

a. Methanoate ion (HCOO-): This is the conjugate base of methanoic acid. It is formed when the acidic hydrogen (H+) of methanoic acid is transferred to water, resulting in the formation of the methanoate ion.

b. Hydronium ion (H3O+): This is formed when the remaining portion of methanoic acid, after losing the hydrogen ion, attracts a water molecule, leading to the formation of the hydronium ion. The hydronium ion is a positively charged ion and is responsible for the acidic properties of the solution.

Therefore, the correct answer is option a. Methanoate ion and hydronium (H3O+), as these are the dissociation products when methanoic acid is mixed with water. The other options, b. Methanoic acid and hydroxide (OH-), c. Methanoic acid and hydronium (H3O+), and d. Methanoate ion and hydroxide (OH-), are not the correct dissociation products for this reaction.

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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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However, the presence or absence of the trait often follows a Mendelian pattern. The difference is that among true Mendelian traits, two parents with a recessive trait cannot possibly have a child with a dominant trait. For the traits below, this is entirely possible, though not common. For each trait, circle Y if you express the trait, N if you do not. Cleft chin: acts as dominant-affected by up to 38 genes Y N Cheek Dimples: acts as dominant-affected by at least 9 genes Attached earlobes: acts as recessive-affected by up to 34 genes Freckles (face); acts as dominant-affected by up to 34 genes "Hitchhiker" thumb: acts as recessive-affected by at least 2 genes Widow's peak acts as dominant-affected by at least 2 genes For one molecule of glucose (a hexose sugar) to be produced, how many turns of the Calvin cycle must take place? Assume each turn begins with one molecule of carbon dioxide If a 4-bit ADC with maximum detection voltage of 32V is used for a signal with combination of sine waves with frequencies 20Hz, 30Hz and 40Hz. Find the following:i) The number of quantisation levels,ii) The quantisation interval, 2. Prolactin (pictured below) is a peptide hormone produced by your body. It is most commonly associated with milk production in mammals, but serves over 300 functions in the human body. a. FIRST, on the diagram of prolactin, make sure to label any partial or full charges that would be present. b. SECOND, in the space provided below, explain whether you think prolactin would be dissolved in water or not; make sure to clearly explain why or why not. c. 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Reciprocal translocation As defined by Hipparchus, if two stars have an apparent magnitude difference of 5, their flux ratio is when we realized we had forgotten matches, i thought we were doomed to a cold, dark night. fortunately, however, leslie came up with a plan. she set to work carving a piece of dry wood into what she called a fire board. she began to rub a dry stick on the board until she started to sweat! soon, to our amazement, smoke began to rise from the board. leslie transferred the burning embers to our kindling, and bright flames began to rise in the air. after that performance, i should start calling her prometheus!what is the meaning of the allusion to prometheus? in the story of prometheus james baldwin It is necessary to design a bed packed with rectangular glass prisms that measure 1 cm and 2 cm high with a sphericity of 0.72, which will be used as a support to purify air that enters a gauge pressure of 2 atm and 40 C. The density of the prisms is 1300 kg/m^3 and 200 kg is used to pack the column. The column is a polycarbonate tube with a diameter of 0.3 and a height of 3.5 m. considering that the feed is 3kg/min and the height of the fluidized bed is 2.5 m. Determine the gauge pressure at which the air leaves, in atm. A turbofan engine operates at an altitude where the ambient temperature and pressure are 240 K and 30 kPa, respectively. The flight Nach number is 0.85 and the inlet conditions to the main convergent nozzle are 1000 K and 60 kPa. If the nozzle efficiency is 0.95, the ratio of specific heats is 1.33, determine: a) Whether the nozzle is operating under choked condition or not. b) Determine the nozzle exit pressure. Explain the roles of key regulatory agencies within the UnitedStates in the safe release of bioengineered organisms in theenvironment and in regulating food and food additives producedusing biotech Eventually, you are able to grow the chemolithoautotroph as well. Given what you know about the organisms metabolism and the environment it came from, what should you change about the standard culturing conditions to promote the growth of this organism?A) Lower the pHB) Add more anaerobic electron acceptorsC) Expose the cells to sunlightD) Add glucoseE) Grow the cells anaerobically Using either loganthms of a graphing calculator, find the lime roqured for the initial amount to be at least equal to the final amount $7800, deposited at 79% compounded monthly, to reach at least $9200 The time required is year(s) and months. The dry products of combustion have the following molar percentages: CO 2.7% 025.3% H20.9% CO2 16.3% N2 74.8% Find, for these conditions: (a) mixture gravimetric analysis; (b) mixture molecular weight, lbm/lbmole; and (c) mixture specific gas constant R, ft lbf/Ibm R. (Related to Checkpoint 5.6) (Solving for i) You are considering investing in a security that will pay you 5000$ in 31 years. a.If the appropriate discount rate is 11 percent, what is the present value of this investment? b.Assume these investments sell for $948 in return for which you receive $5000 in 31 years. What is the rate of return investors earn on this investment if they buy it for 948$? Question content area bottom Part 1 a.If the appropriate discount rate is 11 percent, the present value of this investment is $?enter your response here. (Round to the nearest cent.) A ladder and a person weigh 15 kg and 80 kg respectively, as shown in Figure Q1. The centre of mass of the 36 m ladder is at its midpoint. The angle a = 30 Assume that the wall exerts a negligible friction force on the ladder. Take gravitational acceleration as 9.81m/s? a) Draw a free body diagram for the ladder when the person's weight acts at a distance x = 12 m Show all directly applied and reaction forces. When the following equation is balanced correctly under acidicconditions, what are the coefficients of the species shown?____Fe3+ +_____ClO3-______Fe2++ _____ClO4-Water appears in the balanced