will, jill, and phil are all wheat farmers. the wheat industry is perfectly (purely) competitive. the first chart shows how much each farmer produces at different price levels. the second chart shows each farmer's minimum average total cost (atc), average variable cost (avc), and marginal cost (mc). based on this data (assuming these three are the only producers), plot the industry supply curves: one for the short run and one for the long run.
Answers
The short run and long run curves are attached below
What is variable cost?Variable costs, the costs those are incurred when the quantity of goods or services produced by a business changes. Variable cost, is the sum of the marginal costs of all the units produced. It can also be known as a normal expense. Fixed and variable costs create the two components of total cost.
For the given data,
Price($) Short run quantity Long run quantity
2.00 6 0
4.00 12 6
6.00 18 14
8.00 26 26
In the short term, companies will not fall below their average minimum variable cost. The supply curve is, in the short run, the upward sloping portion of the marginal cost curve above the minimum AVC. Finally, the industry supply curve is the sum of all short-term supply curves.
Where,
At, P = $2.00
Market supply = 4 + 2 = 6
At, P = $4.00
Market supply = 6 + 4 + 2 = 12
At, P = $6.00
Market supply = 9 + 5 + 4 = 18
At, P = $8.00
Market supply = 12 + 8 + 6 = 26
Now, in the long run, firm prices must correspond not only to marginal cost, but also to average cost. Above min. of ATC.
Long term, P = $2, no bids because min ATC is above price
At, P = $4.00, only will supply
At, P = $6.00, Will and Jill both would supply
At, P = $8.00, All three would supply
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Related Questions
you have a sodium hydroxide solution that is approximately 0.2 m that you need to standardize. in order to make efficient use of your 50 ml buret, you need to know how many runs you can perform. estimate how many mls of 0.2 m naoh will be ne
Answers
4ml of NaOH is required for neutralization of KHP.
The chemical reaction is as follows:
NaOH + КНР → NaKP + H₂O
The mass of KHP used is 0.1509g, Molar mass of KHP is 204.29g/mol
Then moles of KHP used are given by
Moles of KHP used = 0.1509/204.29
Moles of KHP = 7.35 x 10⁻⁴ moles
The molarity of NaOH is 0.2 M Let the volume of NaOH required for neutralization be V.
Moles of NaOH needed = Molarity x volume of NaOH (L)
= 0.2 x V
As 1 mole of NaOH requires 1 mole of KHP, then
Moles of NaOH required = Molarity of NaOH x volume of NaOH (L)
On substituting the values we get,
0.2 V = 7.35×10⁻⁴
V = 7.35x10⁻⁴/0.2
= 3.675 X 10⁻³L
V = 3.675 mL
≈ 4mL
Therefore, 4 ml of NaOH is required for neutralization.
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when 50 ml of 0.10 m naf is added to 50 ml of 0.10 m hf, relative to the ph of the 0.10 m hfsolution the ph of the resulting solution willa. remain the sameb. become 7c. increased. decrease
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When 50 ml of 0.10 m NaF is added to 50 ml of 0.10 m HF, relative to the pH of the 0.10 m HF solution the pH of the resulting solution will increased. the option c increased is correct.
The pH is the measurement for the solution that it is acidic or the basic or it is neutral. the pH scale ranges from 0 to 14 in the scale. the pH value in the 7 is for the neutral solution. that means it is neither basic nor acidic. the pH value greater than 7 will be the basic solution. the pH value in the pH scale less than 7 is for the acidic solution.
Thus, the pH will increases as compared to the value of the 0.10 M HF. the option c is correct.
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Radio wave in the AM region have frequencie in the rang 539 to 1700 kilocycle per econd (530 to 1700 KHz). Calculate the wavelength correponding to a radio wave of grequncy 1460000/ (that i 1460 KHz)
Answers
The wavelength is 241.77m.
What is frequency?
Hertz gives the frequency at which a recurring event occurs once every second (Hz). The number of vibrations or cycles per unit of time is the definition of frequency, as we are all aware.
What is wavelength?
A wave's wavelength is the separation between its successive crests, notably between the points of an electromagnetic wave.
frequency = 1.240*10^6 s^-1
speed of light = 2.998*10^-8 m/s
λ = wavelength
C= λv
λ=c/v
λ= 2.998*10^-8 m/s/1.240*10^6 s^-1
λ= 241.77m
Therefore, wavelength is 241.77m.
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Compare and contrast one mole of a compound and Avogadro's number of particles in a compound. What is the conversion factor between the two?
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One mole of a compound is a unit of measurement that represents 6.022 x 10^23 particles of a compound. This number is also referred to as Avogadro's number and is the ratio of particles to moles in a given compound.
What is Avogadro's number?
The proportionality factor that connects the number of constituent particles (typically molecules, atoms, or ions) in a sample with amount of substance in that sample is called the Avogadro constant, also known as NA or L. It has an exact value of 6.022140761023 reciprocal moles and serves as a SI defining constant. Stanislao Cannizzaro named it after the Italian scientist Amedeo Avogadro, who explained this number at the Karlsruhe Congress in 1860, four years after Avogadro's passing. The Avogadro number is a dimensionless number that represents the Avogadro constant as a numerical value expressed in reciprocal moles. The Avogadro number, or Nor N0 in older literature, is the exact number of particles (6.022140761023) that make up one mole.
One mole of a compound is a unit of measurement that represents 6.022 x 10^23 particles of a compound.
This number is also referred to as Avogadro's number and is the ratio of particles to moles in a given compound.
The conversion factor between one mole and Avogadro's number of particles is 1:6.022 x 10^23.
This means that for every one mole of a compound, there are 6.022 x 10^23 particles of that compound.
In other words, one mole of a compound is equal to Avogadro's number of particles in that compound.
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chemical reactions are used so often in cooking. besides pickling, find 3 more examples where a chemical reaction has taken place in cooking.
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Chemical reactions are used so often in cooking. besides pickling, some of the examples are Caramelization happens that's a form of chemical response, whilst we warmness sugar.
Heating a meat adjustment its colour to brownish because of Maillard response. -Baking the bread makes them upward push because of the formation of carbon dioxide bubbles throughout the response among baking powder and liquid ingredients.
What is chemical reaction?
In a systematic sense, a chemical procedure is a technique or manner of come what may converting one or greater chemical substances or chemical compounds. Such a chemical procedure can arise through itself or be because of an outdoor force and entails a chemical response of a few sorts.
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FILL IN THE BLANK. The development of wings on a fly, a moth, and a bird are _____ because they developed independently as adaptations to perform the common function of flying.
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The development of wings on a fly, a moth, and a bird are analogous because they developed independently as adaptations to perform the common function of flying.
What are analogous structures?
In evolutionary biology, analogous is defined as "having comparable functions but distinct evolutionary origins." In other words, various species with various evolutionary paths utilize their biological structures for similar ends.
Convergent evolution describes this kind of evolution. This type of evolution involves the development of structures by creatures that serve the same purposes despite having unrelated evolutionary origins. As a result, even though they have different evolutionary or developmental histories, all analogous structures in unrelated species would serve the same purposes. In terms of function or appearance, these structures may mimic certain characteristics.Hence, the development of wings on a fly, a moth, and a bird are analogous because they developed independently as adaptations to perform the common function of flying.
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ordering question click and drag on elements in order rank the following 0.1 m salt solutions in order of increasing ph (lowest ph at the top of the list).
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NaHSO4 <NH4NO3<NaHCO3<Na2CO3 salt solutions in order of increasing ph (lowest ph at the top of the list).
The pH scale determines how basic or acidic aqueous or other liquid solutions are. The expression converts the hydrogen ion concentration, which typically ranges between 0 and 14, into values between 1 and 1014 gram-equivalents per litre. It is widely employed in the fields of biology, agronomy, and chemistry. Because it has a pH of 7, or 107 gram-equivalents of hydrogen ions per litre, pure water is neutral (neither acidic nor alkaline).
In an aqueous solution, the amount of hydrogen ions expressed in equivalents per litre is equal to log(H+). Since it indicates which crops will thrive there, a soil's pH is probably the most significant factor affecting its moisture content in agriculture.
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Write the formula for each of the following:
a. tin(II) carbonate
b. lithium phosphide
c. silicon tetrachloride
d. manganese(III) oxide
e. bromine
f. calcium bromide
Answers
Hope this answer helps you
A strip of paw paw was placr in a beaker of water.After 30 minutes what happen to the strip?
Answers
Anything that moves in a net direction from a region of higher concentration to a region of lower concentration is said to be diffusing. Because the particles in liquids and gases travel randomly from one location to another, diffusion occurs in these media.
What is diffusion ?Diffusion is the overall net movement of anything from a higher concentration to a lower concentration. A gradient in the Gibbs free energy or chemical potential drives diffusion.
The molecules' kinetic energy causes random motion, which causes diffusion. This mechanism happens in simple diffusion without the help of a transport protein. The molecules travel from an area of high concentration to an area of low concentration due to their random mobility.
Thus, Because the particles in liquids and gases travel randomly from one location to another, diffusion occurs in these media.
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Carbon disulfide has a vapor pressure of 363 torr at 25 ∘ C and a normal boiling point of 46.3 ∘ C . Find Δ H v a p for carbon disulfide.
Answers
The ΔHvap for carbon disulfide is 26.06J.
Derivation of the Clausius Clapeyron Equation in ThermodynamicsAs the temperature rises, so does the water vapor saturation pressure. The rate at which vapour pressure rises for each degree that the temperature rises is determined by the Clausius-Clapeyron equation. Specify p as the saturation vapour pressure and T as the temperature.
In honor of Rudolf Clausius and Benoît Paul Émile Clapeyron, the Clausius Clapeyron equation is a way of explaining a discontinuous phase transformation between two phases of matter of a single constituent. There is no direct relationship between a liquid's temperature and vapour pressure.
Clausius-Clapeyron Equation,
In P = RT/ΔHvap + C
Given,
P = 363 torr,
R = 8.314
T = 46.3°C
C= 25°C
363 = 8.314×46.3/ΔHvap + 25
363 = 384.9/ΔHvap +25
ΔHvap = 384.9/363 + 25
ΔHvap = 26.06J.
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Copper crystallizes in a face-centered cubic lattice (the cu atoms are at the lattice points only). If the density of the metal is 8. 96 g/cm3, what is the unit cell edge length in pm?.
Answers
The unit cell edge length in pm is 361 pm.
given that :
the density of the metal , ρ = 8.96 g/cm³
atomic mass = 63.54 g/mol
the atomic cell = 4 atoms
Avogadro's number = 6.022 × 10²³ atoms/mol
the expression is given as follows :
cell volume = (atoms × atomic mass ) / density × Avogadro's number)
= ( 4 × 63.54 ) / 8.96 × 6.022 × 10²³)
= 4.71 × 10⁻²³ cm³
a = ∛4.71 × 10⁻²³ cm³
a = 361 pm
The unit cell edge length is 361 pm.
Thus, Copper crystallizes in a face-centered cubic lattice (the cu atoms are at the lattice points only). If the density of the metal is 8. 96 g/cm3, the unit cell edge length in pm is 361 pm.
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hydroiodic acid
Express your answer as a chemical formula.
Answers
The chemical formula of hydroiodic acid is HI.
What is chemical formula?Chemical formula is as used in chemistry is a notation indicating the number of atoms of each element present in a compound. It shows the type and number atoms of an element present in a compound.
For example, the molecular or chemical formula for ethane is C₂H₆.This shows that ethane contains 2 carbon atoms and 6 hydrogen atoms.
Hydroiodic acid is a compound made up of two elements namely;
HydrogenIodineTherefore, the chemical formula for hydroiodic acid is HI.
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Draw the Lewis structure for BrF5. The hybridization on the Br is (sp, sp2, sp3, sp3d, sp3d2). The molecule is (choose one: polar or nonpolar)
Answers
The hybridization on the Br in BrF₅ is sp³d². the molecule is polar molecule .
The hybridization of bromin pentafluoride , BrF₅ sp³d² hybridize. in the structure of BrF₅ the boromine contains one lone pair of electron. the lewis structure is shown as follows :
F
|
F - Br : - F
| |
F F
the valence electron the Br atom are 7 valence electron out of which 5 are making bonds with the fluorine atom. two of them are present as lone of electrons. one s , three p and two d orbitals are taking part in hybridization . BrF₅ is the polar molecule as the difference in electro negativity in Br and the F atom contributes to the unequal charge distribution.
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ethanol is used in the dna isolation process because
Answers
Ethanol is used in the dna isolation process because it allows the precipitate to form.
What is ethanol?Ethanol is defined as the organic chemical compound that contains the elements such as hydrogen, carbon and hydroxide and it's often referred to as alcohol.
Examples of uses of ethanol in the medical section include the following:
It is used as a topical agent to prevent skin infections, in pharmaceutical preparations (e.g. rubbing compounds, lotions, tonics, colognes), cosmetics, and in perfumes.In the molecular laboratory, ethanol can be used for the extraction of DNA during dna isolation process.This is suitable because addition of ethanol, followed by centrifugation, will cause the DNA proteins to come out of the solution the requires DNA extraction.
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Solutes are returned to the blood during: _________
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During tubular reabsorption, solutes are transferred back to the circulation. Glomerular filtration involves the passive transfer of small substances from the blood towards the filtrate.
The location of tubular reabsorptionThe second crucial step in the production of urine is tubular reabsorption. Many of the glomerular filtration of solutes needed for proper bodily operation, like amino acids, glucose, et salts, begins in the proximal section of the tubule.
What are tubular reabsorption and secretion?The reverse of reabsorption, tubular secretion is the movement of substances from peritubular capillaries into the renal tubular lumen. Passive diffusion and active transport are the main causes of this secretion. Usually, only a small number of substances—usually waste products—are excreted.
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Elements In Group Have A Np6 Electron Configuration In The Outer Shell.
(a) 6A
(b) 7A
(c) 5A
(d) 8A
(e) 4A
Answers
Elements in group 8A have a np6 electron configuration in the outer shell. Therefore, the correct answer option is: (d) 8A.
What are valence electrons?In Chemistry, valence electrons can be defined as the number of electrons that are present in the outermost shell of an atom of a specific chemical element.
Additionally, valence electrons are used to determine whether an atom or group of chemical elements that are found on a periodic table can chemically bond with others.
What are noble gases?In Chemistry, noble gases are chemical elements with eight valence electrons and as such have a full octet. Also, some examples of noble gases are argon, neon, etc.
In conclusion, all noble gases that are found in group 8A of the periodic table have a np6 electron configuration in the outer shell.
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What is the frequency of green light that has a wavelength of 549 nm? (c = 3.00 x 10⁸ m/s)
Answers
Taking into account the definition of wavelength, frecuency and propagation speed, the frequency of green light that has a wavelength of 549 nm is 5.46×10¹⁴ Hz.
WavelengthWavelength is the minimum distance between two successive points on the wave and it is expressed in units of length (m).
FrequencyFrequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Propagation speedThe propagation speed is the speed with which the wave propagates in the medium.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
All electromagnetic waves propagate in a vacuum at a constant speed of 3×10⁸ m/s.
Wavelength of the radiationIn this case, you know:
v=3×10⁸ m/sf= ?λ= 549 nm= 5.49×10⁻⁷ m (being 1×10⁻⁹ nm= 1 m)Replacing in the definition of propagation speed:
3×10⁸ m/s= f× 5.49×10⁻⁷ m
Solving:
f= 3×10⁸ m/s ÷ 5.49×10⁻⁷ m
f= 5.46×10¹⁴ Hz
In summary, the frequency is 5.46×10¹⁴ Hz.
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What is the strongest intermolecular force present for each of the following molecules?
A. hydrogen [tex]\left(\mathrm{H}_2\right)[/tex]
B. carbon monoxide (CO)
C. silicon tetrafluoride [tex]\left(\mathrm{SiF}_4\right)[/tex]
D. nitrogen tribromide [tex]\left(\mathrm{NBr}_3\right)[/tex]
E. water [tex]\left(\mathrm{H}_2 \mathrm{O}\right)[/tex]
Answers
Answer: Yes, it is true, hydrogen bonding is strongest intermolecular forces compare with all. In case of nh3, (N-H bonds makes between molecules) and dipole dipole interaction (interaction between two dipole) and london dispersion forces occur between nh3 molecules. this types of intermolecular forces are generated between nh3 molecules.
If sufficient HCL is present, the reaction will go to completion, and all the Zinc will be used up. Explain how this is an illustration of LeChatelier's principle. Zn(s)+2HCL(l)-----> ZnCL2 + H2(g) Please provide a clear explanation. Thank you.
Answers
When concentration of HCl increases, reaction moves in such a way so as to decrease the concentration of HCl. Reaction moves forward to consume HCl and zinc will be used up. Reaction will form more products and goes to completion.
What does Lechatelier's principle state?
Le Chatelier's principle can be stated as follows: A change in one of the variables that describe a system at equilibrium produces a shift in the position of the equilibrium that counteracts the effect of this change.
What are the three elements concerned in Le Chatelier's principle?
There are 3 chemical modifications to a gadget that Le Chatelier's Principle addresses: concentration, pressure, and temperature. Concentration modifications show up while the variety of reactants or merchandise are both accelerated or decreased.
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Consider the phosphorus tetrachloryl (PCI) cation. What is the central atom? Enter its chemical symbol. How many lone pairs are around the central atom? What is the ideal angle between the phosphorus- chlorine bonds? 0 Compared to the ideal angle, you would expect the actual angle between the phosphorus-chlorine bonds to be ... (choose one) (choose one) about the same X bigger Explanation Check smaller
Answers
Chemical structure determination involves the chemist identifying the molecular structure and, if possible and necessary, the electronic structure of the target molecule or other solids.
Looking at the molecular structure of PCl3, it is a pyramid with approximately three bond angles. 103°. PCl3 is polar because VSEPR theory predicts a triangular pyramidal molecular structure. Around phosphorus he has four electron density regions. One of them is the lone pair of electrons. In general, the lone pair of the central atom indicates that the molecule is polar.
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61. Which sample has the largest mass? A) 1 mole of marshmallows B) 1 mole of Pb atoms C) 1 mole of CO2 molecules D) All of these have the same mass
Answers
No of moles of a substance = (Mass of substance / Molar mass of substance)
Here, all given substances have equal moles, i.e, 1 mole.
Hence,
mass of substance variation is directly related to their molar masses, the higher the molar mass, the greater is the mass of that substance.
Here, we know, order of the masses, in descending order are-
Marshmellows > Pb > CO2
Therefore, Masses are in same order-
Marshmellows > Pb > CO2
Thus, 1 mole of marshmellows has largest mass.
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show between force pressure and area
Answers
Answer:
Relationship: The Pressure on an Area and the Force Acting Perpendicularly to the Area. The pressure, , on an area, , is given by = , where is the force acting perpendicularly to all the sides of the area
disulfur heptoxide chemical formula
Answers
Answer:
The formula of disulfur heptoxide is S2 O7
Which phenomena support only the particle theory of light? select 2 options. reflection bending around objects traveling in a straight path interference photoelectric effect
Answers
Photoelectric effect is the answer
Light is made of particles and with help of them the particle theory of light explains the light. Newton concluded that light has frequency-like properties. According to this the particle theory of light supports the phenomenon of light bending around objects.
Albert Einstein conducted research on the photoelectric effect, in which electrons fly out of a metal surface exposed to light and energy of the electrons that fly out of the metal does not change whether the light is weak or strong.
Photoelectric effect is defined as an emission of electrons when electromagnetic radiation hits the material.
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Answer:
traveling in a straight path and photoelectric effect
which atom is matched with the correct formal charge?
a. s in socl2, b. 1 br in bro3-, c. zero n in no3-,
d. zero n in no2f, e. zero o in h3o
Answers
1 br in bro3- the correct formal charge.
How can you determine an atom's formal charge?For each atom in a Lewis structure, you should count how many electrons it "owns" in order to get the formal charges. All of its lone pair electrons as well as 50% of its bonding electrons should be counted. The formal charge is the discrepancy between the atom's number of valence electrons and the number it possesses.
What kind of atom has a formal charge of 1 in this molecule?When the carbon atom has three bonds in addition to one lonely pair of electrons, carbonions are created. Carbanions have a formal charge of 1 and 5 valence electrons.
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As you have seen; lead can form the same kinds of compounds as the alkaline earth metals. Nevertheless, the solubility may differ markedly: Give a convincing reason:
Answers
The solubilities of lead is different.
The lead compounds are more covalent in character, and also have a considerable high bond strength which means (aka lattice enthalpy).On the other hand lead compounds are insoluble, this energy is too high for hydration enthalpies (the energy released when water surrounds an ion of either charge).
Consider the position of Pb in the periodic table and the position of the Alkali Earth metals.
Alkali Earth Metals occupies noble-gas configuration when they are doubly charged cations.
Lead however is on the right hand side, and would like to have more electrons to get converted to get stable configuration; making the bonds in lead-compounds more covalent -as well as stronger- in nature.
The lattice enthalpies of insoluble compounds always have higher than the enthalpy of solvation.
Now, since Alkali Earth metals always like to be in ionic states; their compounds will dissolve in general more easily than the same compounds with lead, usually the lattice energy of lead compounds is much higher (In case of insoluble compounds higher than the energy that would be released upon solvation, which thus doesn't occur).
Thus, we can conclude with the fact of different solubilities.
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the hydrolysis of sucrose is represented by the chemical equation above. this reaction is extremely slow in aqueous solution
Answers
The hydrolysis of sucrose is extremely slow in an aqueous solution that can be increased by catalysts.
The sucrase-sucrose complex is produced as an intermediate in a separate reaction pathway with a lower activation energy through which the process progresses.
By offering a new reaction pathway with lower activation energy, catalysts can speed up a reaction. The diagram is consistent with a two-step mechanism in which the sucrase-sucrose complex is created in the first stage as an intermediate and depleted in the second.
An equimolar mixture of fructose and glucose is produced during the hydrolysis of sucrose, which is known as inverted sugar in the food industry.
Inversion is the process of hydrolyzing sucrose to produce glucose and fructose. Invert sugar is the result of the hydrolysis of sucrose, which causes the sign of rotation to shift from dextro (+) to laevo (-).
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the scene below represents a mixture of a2 (green) and b2 (blue) before they react to form ab3.
Answers
1. The limiting reactant would be [tex]B_2[/tex]
2. The number of molecules of product formed would be 3 moles.
Stoichiometric problemIn the diagram, the green ball is [tex]A_2[/tex] and the blue ball is [tex]B_2[/tex]. Both react to form [tex]AB_3[/tex] according to the following equation:
[tex]A_2 + 2B_3 --- > 2AB_3[/tex]
From the equation, the mole ratio of [tex]A_2[/tex] to [tex]B_3[/tex] is 1:2. There are 6 green balls ([tex]A_2[/tex]) and 3 blue balls ([tex]B_2[/tex]) in the image. In other words, the ratio of [tex]A_2[/tex] to [tex]B_3[/tex] in the image is 2:1.
Thus, [tex]B_2[/tex] is limiting in availability.
From the equation, the mole ratio of [tex]B_2[/tex] to [tex]AB_3[/tex] is 1:1. With 3 moles of [tex]B_2[/tex] limiting the reaction, only 3 moles of [tex]AB_3[/tex] will also be produced going by the mole ratio.
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The complete question:
The molecular scene at right represents a mixture of a2 (green) and b2 (blue) before they react to form ab3. What is the limiting reactant? How many molecules of product can form?
draw the product(s) formed when alkene a is reacted with ozone, followed by zn and h2o. if no second product is formed, do not draw a structure in the second box.
Answers
Ozonolysis, also known as ozonolysis-reduction, is the process of treating an alkene with ozone.
Then reducing it with an appropriate agent in order to disassemble complex compounds with double bonds into simpler, more easily identifiable by-products.It might be possible to determine the structure of the original double-bond-containing substance from the identity of the products formed. When an alkene reacts with ozone, a molozonide is initially created as an unstable, cyclic intermediate.Alkenes can also be broken down by additional oxidizing substances, like potassium permanganate. However, oxidation will proceed more quickly with KMnO₄ than with ozonolysis, so the end products may differ slightly.To know about Ozonolysis,
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Due to the fragmented nature of American government and narrow special interests, the American tax code, compared to other democracies, is a. More simple than some and more complex than others. b. Surprisingly, about the same. c. Overall, more complex. d. Simple
Answers
The correct answer in option C. The American tax code, compared to other democracies, Overall, more complex
What is fragmented nature of American government ?The tale of King Rex, who was motivated to establish an altogether new and improved legal system for his people, was presented in a 1963 lecture by American legal philosopher Lon Fuller. However, King Rex was a dull, uneducated legislator. Every type of law he enacted was met with fervent popular opposition.
The populace argued that his first new legal system was incredibly ambiguous. After that, he published a legal code that was precise but riddled with baffling paradoxes. Modern democratic state residents and corporate entities might identify with King Rex's subjects on some level. These days, we have to pay for expensive legal specialists to advise us on our legal dangers, rights, and obligations because the legal systems we live under are constantly expanding and becoming so deep, sophisticated, and precisely written.
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