what are the ain properties of carbon that explains its presence as a base element of organic compounds

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Answer 1

Properties of carbon that explain its presence as a basic element of organic compounds - Catenation and Tetravalent.

Carbon is a chemical element with the symbol C and atomic number 6 (it contains 6 protons in its nucleus). As a member of group 14 in the periodic table, it is non-metallic and tetravalent – ​​making four electrons available to form covalent chemical bonds.

The most common isotope of carbon has 6 protons and 6 neutrons and has an atomic mass of 12.0107 AMU. Its basic electronic configuration is 1s22s22p2.

Properties of carbon that explain its presence as a basic element of organic compounds -

Carbon has the ability to form very long chains of strong and stable interconnecting C-C bonds. This property, called catenation allows carbon to form an almost infinite number of compounds.

Carbon has an affinity for bonding with other small atoms, including other carbon atoms, through the formation of stable covalent bonds. Despite the fact that it is present in a huge number of compounds, carbon is weakly reactive compared to other elements under normal conditions.

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Can yall help me with this

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The summary of the paragraph is that if you live on a high latitude there would be greater seasonal variation.

What is the equator?

The equator is said to be that imaginary line that does divide the earth into the Northern and the southern Hemispheres. This implies that the equator is the line that divides the earth into to halves and the two haves of the earth are responsible for the variations in many things on earth such as the day and night experience.

We can see from the passage that if you are living in a position that is closer to the equator then it follows that the variation of day and night would have less difference as well as less of seasonal differences.

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is it possible to prepare 1-chloro-2,2-dimethylpropane in high yield by halogenation of an alkane? how many monohalo isomers are possible upon radical halogenation of the parent alkane?

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By halogenating an alkane, it is feasible to produce high yields of 1-chloro-2,2-dimethylpropane. Therefore, following radical halogenation of the parent alkane, only one monohalo isomer is feasible.

A double-branched chain alkane containing five carbon atoms, neopentane is also known as 2,2-dimethylpropane. Neopentane is a flammable gas at ambient pressure that, on a chilly day, in an ice bath, or when compressed to a higher pressure, can condense into a highly volatile liquid known as dimethylpropane. In organic chemistry, an alkane is an acyclic saturated hydrocarbon, sometimes known as paraffin (a historical quaint word that also has various meanings). In other terms, an alkane is made up of carbon and hydrogen atoms that are all grouped in a tree form.

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What is the wavelength of a radio wave having a frequency of 3.75 x 10^7 Hz?

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The wavelength of a radio wave having a frequency is 0.8m.

Radio waves are the longest waves in the electromagnetic spectrum. These waves are a form of electromagnetic radiation with frequencies ranging from 300 GHz to 3 kHz, but above 3 GHz are defined as microwaves. Wave frequency is the number of waves passing through a fixed point in a given time.

calculation:-

frequency = 3.75 x 10^7 Hz?

f = wavelength / speed of light

wavelength = c/f

= 3 × 10^8 / 3.75 x 10^7 Hz

= 0.8 m.

Frequency is the rate at which the current changes direction per second. It is measured in hertz an international unit of measurement where one hertz equals one cycle per second. To calculate the frequency of a wave, divide the velocity of the wave by the wavelength. Write your answer in Hertz or Hz which is the unit for frequency. If you need to calculate the frequency from the time it takes to complete a wave cycle or T the frequency will be the inverse of the time or 1 divided by T.

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an aqueous potassium carbonate solution is made by dissolving 6.63 moles of k2co3 in sufficient water so that the final volume of the solution is 2.80 l . calculate the molarity of the k2co3 solution.

Answers

The molarity of the K₂CO₃ solution is 2.36 M.

Molarity

The unit of molarity is molar or M is the same as moles per liter, when n moles of a compound appear that have been dissolved in V liters of solution, the molarity formula is [tex]M = n/V[/tex]

M = molarity

n = number of moles

V = volume of solution

The concentration of the solution states the quantitative composition of the substance that has been dissolved and the solvent in the solution. Determination of the concentration or vice versa depends on the number of solution ratios of each substance that enters. Chemical reactions occur during the process and result from the presence of the same solution.

So, the molarity of the K₂CO₃ solution is:

[tex]M =6.63/2.8[/tex]

[tex]=2.36[/tex] M

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Which element has the ground state electronic configuration, 1s22s22p63s23p64s1 ?.

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Potassium is the element that has the ground state electronic configuration, 1s22s22p63s23p64s1.

The electronic configuration describes the distribution of electrons in their atomic orbital. In an electronic Configuration, subshells that contain electrons, and the total number of electrons in each of the subshells are written in a sequence.

It is used to find out the valency of an element, Predict the properties of a group of elements and Interpret atomic spectra.

The subshells are s, p, d, and f and the total number of electrons that they can hold is 2, 6, 10, and 14 respectively.

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a ripening apple gives off ethylene, which causes nearby apples to begin ripening. those apples then give off ethylene gas, which continues the chain reaction by causing additional apples to ripen. this is an example of

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This is an example of positive feedback regulation.

What is positive feedback regulation?

A change in a particular direction causes an additional change in the same direction. For example, if the concentration of a substance increases, a feedback of continuously increasing concentration will occur.

A positive feedback loop occurs in nature when a product of a reaction leads to an increase in that reaction. Considering a system in homeostasis, a positive feedback loop pushes the system away from the goal of equilibrium.

Example of Positive Feedback Loops

Fruit Ripening.Childbirth.Blood Clotting.

The feedback loop possess two major forms: (1) positive feedback and (2) negative feedback. They work simultaneously to maintain body equilibrium under different conditions.

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what should the mole percent of oxygen be in the diving gas for the partial pressure of oxygen in the mixture to be 0.21 atm , the same as in air at 1 atm ?

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the mole percent of oxygen be in the diving gas for the partial pressure of oxygen in the mixture to be 0.21 atm , the same as in air at 1 atm is 2.52%

Atm 8.32 is the total pressure.

0.21 atm is the partial pressure of oxygen gas.

The relationship between partial pressure, total pressure, and mole fraction is depicted here.

partial oxygen pressure Total pressure x Mole percent of oxygen -

Calculate the gas's mole fraction of oxygen.

0.21 atm 8.32 x Mole fraction

Mole fraction = 0.21/8.32 = 0.0252

As illustrated below, determine the mole percent of the gas. Mole percent is equal to the mole fraction divided by 100, which is 0.0252 times 100 and 2.52% respectively.

As a result, oxygen's mole percent is 2.52%.

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what mass, in grams, of cacl2 is required to prepare exactly 500 ml of a 0.24000000000000002 m solution of cacl2?

Answers

11.10 moles of cacl2 are required

Lets 0.24000000000000002m approx. be 0.2m

so, Molarity = 0.2m

volume = 500 ml

we know that

molarity = no. of moles of solute (cacl2) / volume of solutions

0.2m = n / 0.5 L

n = 0.1 moles of cacl2

now,

1 mole of cacl2 = 110.98 gm

so,

o.1 moles of cacl2 = 11.10 gm

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What was the initial volume of a gas that had an initial temperature of 20.65 C if it reached a final temperature of 41.77 C and final volume of 16.14 L.

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If a gas had an initial temperature od 20.65 C and a final temperature of 41.77 C, its initial volume would be 7.979.

How are volume and example used?

The volume of any solid in three dimensions is equal to the area it occupy. These solids include shapes like a cube, cuboid, conical, cylinder, and sphere. The form affects how much volume there is.

What does a gas' volume mean?

The space occupied by the gaseous particles under typical pressure and temperature circumstances is referred to as the volume of gas. It has the symbol "V." The symbol for volume in the SI is "liters," or "L". When the gas is at normal temperature, a mole has a volume of 24 m3, or 24 000 cm3. The molar volume of a gas is this quantity.

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onsidering that the naoh should be within a few percent of 0.30 m, what volume (in ml) would you expect to use for your third trial with 2.0453 g of khp?

Answers

The volume (in ml) would we expect to use for our third trial with 2.0453 g of KHP will be 33.0 ml

Molarity of NaOH = 0.30 molar

Mass of KHP = 2.0353 G

Molar mass of KHP = 204.2 g/mol

Volume of NaOH = ?

First we will find out the number moles of KHP

number of moles = mass / molar mass

number of moles of KHP = 2.0453 g / 204.2 g/mol

number of moles of KHP = 0.010 mol

Now we will find out the volume of NaOH

volume = number of moles / molarity

volume of NaOH = 0.010 mol / 0.30 M

volume of NaOH = 0.033 L

Conver L to ml

volume of NaOH = 0.33 L * 1000

volume of NaOH = 33.0 ml

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Complete and balance the double replacement reaction between calcium acetate and lithium phosphate.

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Answer:

2Li3PO4(aq) + 3Ca(C2H3O2)2(aq)

- - - > Ca2(PO4)2(s) + 6LiC2H3O2(aq)

. in an analysis of interhalogen reactivity, 0.500 mol of icl was placed in a 2.00 - l flask, where it decomposed at a high t: 2 icl(g) i 2 (g) cl 2 (g) calculate the equilibrium concentration of icl (k c

Answers

The equilibrium concentration of ICl is 17.97M

Equilibrium concentration is when both reactant and product are in concentration which does not change with time any more

Here given data is

Volume =  2.00L

Number of moles of ICl = 0.440 moles

Kc = 0.110

Balanced chemical equation

2ICl ⇄ I₂ + Cl₂

We have to calculate equilibrium concentration of icl = ?

Calculations for initial concentration

ICl =  0.440 moles/ 2.00L = 0.22M

I₂ = 0M

Cl₂ = 0M

Concentration of equilibrium

ICl = (0.22M - 2x)M

I₂ = xM

Cl₂ = xM

Calculation for Kc

Kc = 0.110 = [I₂][Cl₂]/[ICl]

0.110 = x²/ (0.22M-2x)²

0.332 = x(0.22M-2x)

x = 0.332×(0.22M-2x)

x = 0.0730 - 0.664x

0.664x = 0.0730

x = 0.664/0.0730

x = 9.095

The equilibrium concentration will

[I₂] = [Cl₂] = 9.095M

[ICl] =  0.22M - 2(9.095)

[ICl] = 17.97M

Equilibrium concentration of ICl is 17.97M

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fermentation products can include commonly known compounds such as lactic acid and ethanol, but many other products like butanol, acetic acid, and succinic acid are also possible because

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Fermentation products can include commonly known compounds such as lactic acid and ethanol, but many other products like butanol, acetic acid, and succinic acid are also possible because, these products arise to complete catabolism of glucose and regenerate NAD+ from NADH.

What is Fermentation?

It is an anaerobic process in which energy can be released from glucose even if oxygen is not available.”

The main purpose of fermentation process is not producing energy but to regenerate the NAD+ from NADH. The NAD+ thus produced are utilised in oxidation of glucose. The NAD+ is reduced to NADH and is used in various stages of glucose oxidation (glycolysis, Krebs cycle, oxidative phosphorylation). Thus production of NAD+ along with butanol, acetic acid, succinct acid helps in continuing the glucose oxidation without interruption of shortage of oxidising agent (NAD+)

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A concept can help you translate solutions and related data into basic themes.

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A concept can help you translate solutions and related data into basic themes is a false statement.

What does the core idea mean?

Basic Concepts are those nouns, verbs, and prepositions that let us understand and describe the world. In the context of the home, kindergarten, and school, these ideas are typically learnt as an essential component of the process of language acquisition.

Therefore, note that Action research is the process of carrying out research and turning the results into useful information that practitioners can use to solve issues and boost organizational effectiveness.

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A concept can help you translate solutions and related data into basic themes. True or false

How much NO , in grams, is produced?

Answers

Answer:

I presume you are talking about Nitric Oxide so the molar mass of NO is 30g/mol 30 g / m o l.

Then you should substitute the respective values from the formula above.

Doing that the mass of NO formed is 4.413 g or just 4.4 grams.

Lit the following ubtance in order from lowet denity to highet denity:
iron, gold, teel, water, air, ilver, aluminum, gaoline

Answers

Answer:

1.water  2. air 3.aluminum  4.steel 5.iron  6.silver 7.gold

Explanation:

The density of iron is = 7.86 g/mL

The density of gold is  = 19.3 g/mL

The density of steel  is = 7.8 g/mL

The density of water is  = 1.00 g/mL

The density of air  is = 1.29 g/mL

The density of silver is = 10.5 g/mL

The density of aluminium is  = 2.70 g/mL

so..

water < air < aluminum < steel < iron < silver < gold

list five major parts of a long bone

Answers

The  5  major parts of the long bone are :

.The  Proximal epiphysis

. The distal ephiphysis

.The compact bone

.The Diphysis

.The metaphysis.

What are long bones?

They are long, wide, and cylindrical in shape. They act as levers. e.gFemur, tibia, fibula, metatarsals, humerus, ulna, radius, metacarpals, and phalanges.

The five major parts of a long bone

.The  Proximal epiphysis: This is made up of the spongy bone and articular cartilage.

.The distal epiphysis: This is enclosed by a membrane of connective tissue called the periosteum.

.The metaphysis: This is made up of an epiphyseal line and red bone marrow.

.The Diphysis: This is found in the medullary cavity which has an inner core of bone marrow. It contains nutrients and helps in the formation of cells, made up of yellow marrow in the adult and red marrow in the child.

.The compact bone: This is the outer shell of the long bone is made of cortical bone called compact bone.

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I need help with number 5

Answers

Answer:

25

E

12

Explanation:

As shown in the pic

Mass number = 12 + 13 = 25

Atomic number = No of protons = 12

An element has a mass number of 110 and an atomic number of 55. how many protons, electrons, and neutrons does it have? 1 point a. 55 p+ 55 e- 55 n b. 110 p+ 110 e- 55 n c. 55 p+ 110e- 55 n d. 55 p+ 55 e- 110 n

Answers

The number of protons, electrons, and neutrons are 55 p+ 55 e- 55 n. They are subatomic particles in the element. They can be calculated from the atomic number and the mass number.

How to find the number of protons, electrons, and neutrons?

Every element has a mass number and an atomic number. The number of protons, electrons, and neutrons can be calculated from the mass number and the atomic number.

Number of protons (p+) = atomic numberNumber of electrons (e-) = atomic number - ionNumber of neutron (n) = mass number - atomic number

If given

A mass number = 110An atomic number = 55

How many protons, electrons, and neutrons?

Number of protons

= atomic number

= 55

Number of electrons

= atomic number - ion

= 55 - 0

= 55

Number of neutron

= mass number - atomic number

= 110 - 55

= 55

Hence, the number of protons, electrons, and neutrons are 55 p+ 55 e- 55 n.

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In the following reaction:
2 NaClO4 → 2 Na + Cl2 + 4 O2
How many moles of O2 will be produced when 15.6 moles of NaClO4 decompose?

Answers

Answer:

31.2 moles of O2

Explanation:

You have to do stoichiometry to convert moles of NaClO4 to moles of O2.

You have 15.6 moles of NaClO4, you need these to cancel out so you use your coefficient from the equation. Since you are trying to find moles of O2 you put your coefficient of oxygen in the numerator. Multiply across the top & divide by the bottom to get 31.2 moles of O2.

[tex]\frac{15.6 mol NaClO4}{1} * \frac{4 mol O2}{2 mol NaClO4}[/tex]

you do a calculation on a molecule and determined that the energy of the highest occupied molecular orbital (homo) is -2.42 hartree, and the energy of the lowest unoccupied molecular orbital (lumo) is 0.65 hartree. what is the wavelength of the photon required to excite this molecule from its ground state, to its first excited state?

Answers

The wavelength of the photon required to excite this molecule from its ground state, to its first excited state is 1240 nm.

This is given by the equation:

wavelength = hc/(E_homo - E_lumo)

where h is Planck's constant =6.626070 * 10^-34 J.m , c is the speed of light = 3.0 x 10^8 m/s^2, and E_homo and E_lumo are the energies of the highest occupied molecular orbital and the lowest unoccupied molecular orbital, respectively.

In this particular case, the wavelength of the required photon would be:

wavelength = hc/(-2.42 hartree - 0.65 hartree)

= 6.626070 * 10^-34 X 3.0 x 10^8 / (-3.07)

= 1240 nm

Hence , The wavelength of the photon required to excite this molecule from its ground state, to its first excited state is 1240 nm.

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In the following reaction:
2 NaCl + Pb → PbCl2 + 2 Na
100.0 grams of Pb are added to an excess of NaCl. How many moles of Na are produced?

Answers

Answer:

About 0.965 mol Na

Explanation:

A small, rocky island is home to a community of organisms. They include birds, insects, lichen, moss, shrubs, and small plants. Flooding during a storm damages the ecosystem, except for the lichen and moss.

Predict how the ecosystem changes immediately during the flood, after the floodwater drains, and over time.

Answers

My prediction on the conspicuous changes which occurs simultaneously during flooding activities is that it decreases the oxygen levels which are available to habitat and even destroy the community.

How does flooding affect oxygen levels in a given community of organisms during flooding?

The oxygen levels are affected whenever flooding activities occur in a given habitat when its activities damage the community by way of sedimentation.

So therefore, we can now confirm from the explanation above that when flooding occurs to a given habitat of organisms, it reduces the quality of water levels which directly affect the oxygen levels too.

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b. explain why water is so good at pulling apart ionic compounds. what do the water molecules do to keep the ions dissolved?

Answers

This is related to how polar each water molecule is.

Each water (H2O) molecule has an electric charge on its side of hydrogen, which is slightly positive, and on its side of oxygen, which is slightly negative. It facilitates the separation of ionic compounds into their positive and negative ions in water.

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1) PbBr₂ (1) What ions are present? Which one will move towards the cathode? Which one will move towards the anode? Write the anode half equation. Write the cathode half equation. f) Write the overall redox reaction.

Answers

The ions are present in cations and anions.

The cathode Positively charged cations.

The anode is negative ions.

The oxidation occurs is Zn(s) = Zn2+ (aq) + (2e-).

A redox reaction combines two half-reactions into one complete formula. Electrons lost in the oxidation half-reaction are gained in the reduction half-reaction. Thus, a redox reaction is a chemical reaction in which electrons are transferred between the two species.

A substance that is reduced in a chemical reaction is called an oxidizing agent and a substance that is oxidized is called a reducing agent. Example of the redox reaction of zinc and copper. A reaction is complete when it reaches equilibrium, that is when the concentrations of reactants and products stop changing. If the equilibrium constant is very large.

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The idea that younger rock layers are deposited on top of older rock layers in an undisturbed section of sedimentary rock can best be explained by which of Steno's principles?

A. principle of superposition


B. principle of original horizontality


C. principle of original lateral continuity

Answers

The idea that younger rock layers are deposited on top of older rock layers in an undisturbed section of sedimentary rock can best be explained by the principle of superposition.

Principle of superposition is the major principle of geography. The oldest layer of the rock is consider as a base rock. after the oldest layer the layered formed are in ascending order of younger layer. so, from this principle we can younger and older one.

Thus, The idea that younger rock layers are deposited on top of older rock layers in an undisturbed section of sedimentary rock can best be explained by the principle of superposition.

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For substances at the same temperature absorb equal amounts of energy the specific heat of the four substances are 1.01J/G Celsius, 1.01J/G Celsius, 0.3 AJ/G Celsius, and 0.4 4J/G Celsius what is the specific heat value of the substance I will have highest in Chrisman in temperature

Answers

The substance with the highest specific heat value will have the highest increase in temperature.

What is a chemical reaction ?

Chemical reaction, the process by which one or more substances (reactants) are transformed into one or more other substances (products). Substances are either chemical elements or compounds. Chemical reactions rearrange the constituent atoms of reactants to produce different substances as products.

Chemical reactions are  part of technology, culture, life . Fuel combustion, glass and pottery making, beer , and wine and cheese making are few examples. Activities involving chemical reactions that have been around for thousands of years. Chemical reactions are abundant in a variety of complex processes occurring in the Earth's geology, atmosphere and oceans, and in all biological systems.

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what is the molarity of an aqueous solution that is 5.88% nacl by mass? (assume a density of 1.02 g/ml for the solution.) (hint: 5.88% nacl by mass means 5.88 g nacl/100.0 g solution.)

Answers

The polarity equation is given, masks are divided by smaller mosques, and all are divided by the volume of solution in liters.

As a result, we will obtain a number closer to 1.49. Thus, the original solution's polarity is as follows.

What is the meaning of Molarity ?

The amount of a substance in a specific volume of solution is known as its molarity (M). The number of moles of a solute per liter of a solution is known as molarity. Molarity is defined as the number of moles of solute per liter of solution.

The moles of solute per liter of solution is measured as molarity. For instance, when table salt is dissolved in water, water serves as both the solution and the solute. Sodium chloride weights 58.44 grams per mole. One liter of water and 58.44 grams of sodium chloride combine to form one molar solution, or 1M.

100 g of a solution Additionally, it is assumed that the starting density is 1.02 grandpa. We can therefore determine the volume or solution from this information. Volume of the solution is therefore equal to the solution's mass divided by its city. So we have 100 g of solutions here. Therefore, 100 g make up the majority of the solution. Divided by the solution's density, 1.02 grandpa is obtained. The result will be 98.04 cm. The volume motor solution is now available. Next, we may determine the initial solution's polarity. As a result, we have the polarity equation, which is provided as smaller mosque divided by masks.

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Which statement correctly describes a chemical
reaction at equilibrium?

A.
B.
C.
D
The concentrations of the products and
reactants are equal.
The concentrations of the products and
reactants are constant.
The rate of the forward reaction is less than
the rate of the reverse reaction.
The rate of the forward reaction is greater
than the rate of the reverse reaction.

Answers

Answer: The concentrations of the products and

reactants are equal.

Explanation:

what is the relationship between the s-cis and s-trans forms of 1,3-butadiene? multiple choice constitutional isomers different conformations of the same compound diastereomers resonance forms

Answers

Answer: The s-cis conformer of 1,3-butadiene is less stable than the s-trans conformer as in the s-cis conformer both the CH2 C H 2 groups are facing in the same direction resulting in a sterically crowded structure that leads to repulsion between the hydrogen atoms attached to C1 and C4

Explanation:

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consider that after the president of a nation announces a policy position, any politician who challenges that position is harshly criticized, on social media and by the president directly. as a result, nearly all other politicians (especially those belonging to the president's party) profess support of the president, even though some privately have grave reservations. they keep their misgivings to themselves in order to promote an appearance of unity between the president and the rest of the party's leadership. this example best illustrates the concept of: groupthink. a charismatic leader. social facilitation. group polarization. help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! carbonyl cyanide m-chlorophenyl hydrazone (cccp) is an ionophore that allows the free passage of protons through membranes and is a metabolic poison of mitochondria. a researcher tested cccp on the green alga hydrodictyon africanum. results showed that co2 fixation was severely inhibited, whereas o2 release and production of nadph were only mildly affected. what is the most likely explanation of the results for the inhibition of carbon fixation? What would be the weight of an astronaut of the gravitational attraction has been reduced by 1/10 of earth's gravitational attraction? I need help like asap !!!only numbers and decimal points On average, Logan drinks 2/3 of a 6-ounce glass of water in 1 4/5 hours. How much water does he drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form. Rationalize the denominator 1/ square root of 2 Peggy pays an annual fee of $10.75 to belong to an online music club and download songs at a reduced price. Last year she downloaded 105 songs altogether. Non-members pay $0.35 more per song download than members. Suppose Daniel is not a member of the club and downloaded 85 songs last year. If Daniel and Peggy both paid the same total amount, what is the cost per download for members and for non-members? Let x represent the cost of downloading a song for members. Set up and solve an equation. Find the value of k so that the system of equation has no solutionkx + 6y = 6y = 2/3x - 4 What should be entered to make the loop below print556065x = 50while (x < 65): x = x + ____ print (x) of all the theories of learning, which one requires the least amount of associations to be made and the least amount of reinforcers to encode new material into one's mind? Is this relation a function ? Someone gives me the idea to increase this title for my thesis MULTI PURPOSE COOPERATIVE AUTOMATED LENDING MANAGEMENT SYSTEM. Point M (5,-7) is the midpoint of the line segment CD. If C is (2, "-3)," which of these are the coordinates of D? you play tennis regularly with a friend, and from past experience, you believe that the outcome of each match is independent. for any given match you have a probability of 0.6 of winning. what is the probability that you win the next two matches? kanye west antisemetic Paul inherited a stamp collection. Since receiving thecollection, Paul has gone to the store and bought thesame number of new stamps each week to add to hiscollection. The equation shown below can be used todetermine the number of stamps (y) in Paul's stampcollection x weeks after he inherited the stamps.y = 3x + 40Based on the equation, which statement is true?A) The stamp collection had 3 stamps in it when Paul inherited it.B) So far, Paul has purchased 40 additional stamps for the collection.C) Since inheriting the collection, Paul has bought 3 new stamps each week.D) Six weeks after he inherited the collection, Paul's stamp collection contains 18 stamps Jonathans scout troop tie-dyed sweatshirts and T-shirts last year for a fundraiser. For every 20 sweatshirts they dyed 30 T-shirts. This year Jonathan scout troop will keep the same ratio of sweatshirts and T-shirts. They plan to tie-dye 60 sweatshirts. How many T-shirts with Jonathan Scout troop dye this year? Find the largest area for a rectangle that is inscribed in a semicircle with radius 4 inches. the manager at lampshades limited reported the standard direct material cost per lampshade was 1.2 yards of cloth of input allowed per each lampshade (output unit) manufactured, at $20 standard price per yard. what is the standard direct material cost per lampshade?