What is the common difference between successive terms in the sequence? 9, 2.5,-4, -10.5,-17,

Answers

Answer 1
6.5 is subtracted from each number.
9 - 6.5 = 2.5
2.5 - 6.5 = -4
-4 - 6.5 = -10.5
-10.5 - 6.5 = -17
or you could think of adding -6.5 to everything if that is easier for you to picture. 
Answer 2

Answer:

-6.5

Explanation:


Related Questions

Suppose there are two known compounds containing the generic elements X and Y. You have a 1.00-g sample of each compound. One sample contains 0.25 g of X and the other contains 0.33 g of X. Identify plausible sets of formulas for these two compounds. Check all that apply.

Answers

I think the correct answers are X2Y and X3Y, X2Y5 and X3Y5, and X4Y2 and X3Y, for the following reason: 

If you look at the combining masses of X and Y in each of the two compounds, 

The first compound contains 0.25g of X combined with 0.75g of Y 
so the ratio (by mass) of X to Y = 1 : 3 

The second compound contains 0.33 g of X combined with 0.67 g of Y 
so the ratio (by mass) of X to Y = 1 : 2 

Now, you suppose to prepare each of these two compounds, starting with the same fixed mass of element Y ( I will choose 12g of Y for an easy calculation!) 

The first compound will then contain 4g of X and 12g of Y 
The second compound will then contain 6g of X and 12g of Y 

The ratio which combined the masses of X and the fixed mass (12g) of Y
= 4 : 6 
or 2 : 3 

So, the ratio of MOLES of X which combined with the fixed amount of Y in the two compounds is also = 2 : 3 

The two compounds given with the plausible formula must therefore contain the same ratio.

Final answer:

To identify plausible sets of formulas for two compounds containing elements X and Y, use the given masses to calculate the ratios and apply the law of multiple proportions to determine simple whole-number ratios for potential empirical formulas.

Explanation:

The question is regarding the identification of plausible sets of formulas for two compounds containing generic elements X and Y based on the amounts of element X in both compounds. By using the mass data provided (0.25 g and 0.33 g of X), along with the total sample mass (1.00 g for each compound), we can find the respective amounts of element Y in each compound (0.75 g and 0.67 g of Y, respectively).

Then, by taking the ratios of the masses of X to Y for each compound, we can determine simple whole-number ratios, which can suggest possible empirical formulas for the compounds. These formulas are based on the law of multiple proportions, which states that if two elements form more than one compound between them, then the ratios of the masses of the second element that combine with a fixed mass of the first element will be ratios of small whole numbers.

Cracking the periodic table code why aren't the elements listed in alphabetical order answer key

Answers

The elements in the periodice table are not listed in alphabetical order, because the arragement in rows (periods) and columns (groups or familes), in increasing order of atomic number (number of protons of the atoms) permits to explain similarities among the elements, trend in some properties, and even predict properties of unknown elements.


For example, the elements of the first group (family), called alkaline metals, all have 1 valence electron, have similar physical properties (ductibility, malleability, luster, thermal and electricity conductivity), react in similar way with water, show a trend in the atomic radii and in the ionization energy.


You can tell similar stories for other groups like, alkalyne earth metals, halogens and noble gases.


You can also tell trends in electroneativities, and atomic radii, for a row of elements, as per the order they are in the row.


So, the current array resulted very helpul for chemists to explain and predict the behavior and properties of the elements.

Final answer:

The periodic table of elements is organized based on chemical properties and atomic structure, not in alphabetical order. Elements are arranged in ascending order of their atomic numbers, and elements in the same group have similar chemical properties.

Explanation:

The elements on the periodic table are not listed in alphabetical order, but instead they are organized based on their chemical properties and atomic structure. This organization makes it easier to understand and predict how different elements will react with each other. The elements are arranged in ascending order based on their atomic number, which is the number of protons in an atom's nucleus. Elements in the same group (vertical column) have similar chemical properties because they have the same number of electrons in their outer shell.

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How many moles of n are in 0.163 g of n2o?

Answers

First convert 0.163 grams of N2O to mol by dividing it with the molecular weight. The molecular weight of N2O is 44 grams/mol. The answer would be 3,79x10^-3. Then multiply it with 2 since there are 2 Nitrogen in one mole of N2O. Therefore, there are 7.41x10^-3 moles of Nitrogen. 

Answer:

[tex]n_N=7.41x10^{-3}molN[/tex]

Explanation:

Hello,

In this case, one develops the following mass-mole relationship, taking into account that [tex]N_2O[/tex] has two nitrogens inside, thus:

[tex]n_N=0.163gN_2O*\frac{1molN_2O}{44gN_2O}*\frac{2molN}{1molN_2O}\\n_N=7.41x10^{-3}molN[/tex]

Best regards.

What is the effective nuclear charge experienced by the 2p and 3p electrons of a chlorine atom, respectively?

Answers

Effective nuclear charge by 2p = 13.35

Effective nuclear charge by 3p = 6.1

Further explanation

The effective nuclear charge is the nuclear charge which is influenced by the shielding effect of electrons

The effective nuclear charge (Zeff) can be formulated as:

[tex]\large{\boxed{\bold{Z_{eff}\:=\:Z\:-\:S}}}[/tex]

with

Z = nuclear charge = atomic number

S = shield constant

Shielding constants are constants that are generated from the core attraction of electrons in the inner skin

Rules for calculating shield constants

1. Electrons in orbitals are grouped according to skin

/ 1s / 2s, 2p / 3s, 3p / 3d / 4s, 4p / 4d / 4f / 5s, 5p / 5d / 5f /

2. Electrons to the right of the electron studied by shield constants = 03. The electron to the left of the electron is studied by its shield constant:

* Electrons in the same shell shielding effects = 0.35

* Electrons in the skin have deeper shielding effects = 0.85

* Electrons in the skin are deeper than shielding effects = 1.00

On Cl atom which have electron configurations:

1s² 2s² 2p⁶ 3s² 3p⁵

1. if we view the initial charge at 2p then the configuration

1s² 2s² 2p⁶

the electron to the right of 2p does not have a shielding effect

so the shield constant:

S = 0.35. 8 + 0.85.1

S = 3.65

Zeff = Z - S

Zeff = 17 - 3.65 = 13.35

2. if we view the initial charge at 3p then the configuration

1s² 2s² 2p⁶ 3s² 3p⁵

because 3p⁵ then only 4 electrons are counted so there are 2 + 4 = 6 electrons in the skin 3

so the shield constant:

S = 0.35 x 6 + 0.85 x 8 + 1 x 2

S = 10.9

Zeff = 17-10.9 = 6.1

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X is the effective nuclear charge, and it increases across a period.

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Keywords: The effective nuclear charge, electron, core, electron configurations:

The effective nuclear charge can be calculated from Slater's rules.

According to Slater's rule, the effective nuclear charge is obtained from;

Zeff = Z - S

Zeff = effective nuclear charge

Z = nuclear charge

S = screening

Note that;

Electrons in ns and np orbitals have S = 0.35Electrons in the penultimate shell (n - 1) has S = 0.85Electrons in (n - 2) shell has S = 1.00

For a 2p chlorine electron;

Chlorine has electron configuration, 1s2 2s2 2p6 3s2 3p5

S = 7(0.35) + 2(0.85) = 2.45 + 1.7 = 4.15

The total nuclear charge of chlorine Z = 17

Zeff = 17 - 4.15

Zeff = 12.85

For the 3p electron;

S = 6(0.35) + 8(0.85) + 2(1.00)

S = 2.1 + 6.8 + 2 = 10.9

Zeff = 17 - 10.9

Zeff = 6.1

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What is the ratio of [a–]/[ha] at ph 3.75? the pka of formic acid (methanoic acid, h–cooh) is 3.75?

Answers

The formula for pH given the pKa and the concentrations are:

pH = pKa + log [a–]/[ha]


Therefore calculating:

3.75 = 3.75 + log [a–]/[ha]

log [a–]/[ha] = 0

[a–]/[ha] = 10^0

[a–]/[ha] = 1

Answer:

[tex]\frac{[A^-]}{[HA]}=1[/tex]

Explanation:

Hello,

In this case, one state the following relationship among the pH, pKa and the [a–]/[ha] ratio for the formic acid:

[tex]\frac{[A^-]}{[HA]}=\frac{Ka}{[H^+]}[/tex]

In such a way, we compute both the concentration of hydrogen ions and the acid's dissociation constant as:

[tex][H^+]=10^{-pH}=10^{-3.75}=1.78x10^{-4}M[/tex]

[tex]Ka=10^{-Ka}=10^{-3.75}=1.78x10^{-4}[/tex]

Thus, the [a–]/[ha] ratio becomes:

[tex]\frac{[A^-]}{[HA]}=\frac{1.78x10^{-4}}{1.78x10^{-4}}\\\frac{[A^-]}{[HA]}=1[/tex]

Best regards.

Use appropriate metric prefixes to write the following measurement without use of exponents 15.7 x 10^3g

Answers

Let's focus on the 10 raised to the 3rd power. That is equivalent to 1,000. In the metric system of the SI unit grams for mass, the prefix that is 1,000 times larger than the base unit of grams is kilo-. Hence, 1,000 grams is 1 kg.

15.7×10³ g * (1 kg/1000 g) = 15.7 kg

How many molecules are in 2.50 moles of SO2

Answers

Every compound or element has a fixed number of molecules per mole. This is given by the Avogadros number which is about 6.022 x 10^23 molecules per mole. Therefore:

 

molecules = 2.50 moles * (6.022 x 10^23 molecules / mole)

molecules = 1.5055 x 10^24 molecules of SO2

Final answer:

To find the number of molecules in 2.50 moles of sulfur dioxide (SO₂), multiply 2.50 moles by Avogadro's number (6.022 x 10²³ molecules/mole), resulting in 1.506 x 10²⁴ molecules of SO₂.

Explanation:

The question of how many molecules are in 2.50 moles of SO₂ (sulfur dioxide) can be answered by using Avogadro's number, which is a key concept in chemistry. Avogadro's number (6.022 × 10²³) represents the number of entities, in this case, molecules, in one mole of a substance.

Therefore, to find out how many molecules are present in 2.50 moles of SO₂, we multiply the moles of SO₂ by Avogadro's number.

2.50 moles of SO₂ × 6.022 × 10²³ molecules/mole = 1.506 × 10²⁴ molecules of SO₂.

A 13.2 mL rock weighs 47.6 g. Determine it's density. (Show ALL Work)

Answers

The formula of density is;Density = Mass / VolumeDetermine the given:Mass = 47.6 gVolume = 13.2 mLSolution:D = Mass / VolumeD = 47.6 g / 13.2 mLD ≈ 3.61 g/mLSo, the density we get is approximately 3.61 g/mL

Answer: The density of rock is 3.60 g/mL

Explanation:

To calculate density of a substance, we use the equation:

[tex]\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}[/tex]

We are given:

Mass of rock = 47.6 g

Volume of rock = 13.2 mL

Putting values in above equation, we get:

[tex]\text{Density of rock}=\frac{47.6g}{13.2mL}\\\\\text{Density of rock}=3.60g/mL[/tex]

Hence, the density of rock is 3.60 g/mL

please help me dont just comment for points please i actually need help

Order the relative rate of diffusion of the following gases from slowest to fastest.
1. 1                                   Ar
2. 2                                   Ne
3. 3                                   N
4. 4                                   Kr

Answers

Answer:

Kr < Ar < Ne < N (N is fastest and Kr is slowest)

Explanation:

According to graham law of diffusion, rate of diffusion of a gas is inversely proportional to the square root of molar mass of the gas.

                                        [tex]R\propto \frac{1}{\sqrt{M}}[/tex]

Where R is rate of diffusion and M is molar mass

Molar masses of given gases are - Ar(40 g/mol), Ne(20 g/mol), N(14 g/mol) and Kr(84 g/mol)

So molar mass order : Kr > Ar > Ne > N

Hence rate of diffusion order: Kr < Ar < Ne < N (N is fastest and Kr is slowest)

The blank variable response to changes in the manipulated variable

Answers

The dependent variable is that which will respond to changes in the independent variable, which has been manipulated during the experiment. By doing so, this can lead to an understanding of whether or not the changes involved have a significant linkage or if they are due to some other factors.

Cu has an anomalous electron configuration. write the observed electron configuration of cu.

Answers

Explanation:

Atomic number of copper is 29 and it is a d-block element.The electronic configuration of copper is as follows.

Electronic configuration of copper is [tex][Ar]4s^1 3d^{10}[/tex]

According to the Aufbau principle, in the ground state of an atom or ion the electrons fill atomic orbitals of the lowest energy levels first, before filling the higher energy levels.

But completely filled d-shell is more stable in nature. Hence, one electron from the 4s shell goes into the d-orbital so the copper atom can attain stability.

So, when a copper atom loses an electron then it goes out from the 4s shell first.

Final answer:

The observed electron configuration of copper (Cu) is [Ar] 3d10 4s1.

Explanation:

The observed electron configuration of Cu is [Ar] 3d10 4s1.

Copper has an anomalous electron configuration because it is a transition metal. The half-filled 3d manifold with one 4s electron is more stable than a partially filled d-manifold and a filled 4s manifold. This leads to the anomalous electron configuration of Cu.

This deviation from the normal electron design happens on the grounds that copper has a higher dependability when its 3d sublevel is totally loaded up with 10 electrons, as opposed to having 9 electrons in the 3d sublevel and 2 during the 4s sublevel. This peculiarity is known as the "half-filled or completely filled sublevel soundness."

Which situation would result in a theory being replaced rather than revised?

Answers

"New information is discovered that contradicts the existing theory" is the situation among the choices given in the question that would result in a theory being replaced rather than revised. so the answer would be New information is discovered that contradicts the existing theory. Hope it helped!

Advent of new information that poses challenges to existing theories would result in a theory being replaced rather than revised.

What is theory?

Theory is defined as a thoughtful explanation which is provided for observations which is constructed using scientific methods.The theory brings together many facts and hypothesis.

It is called as theory as it provides some set of assumptions initially which provide description to the field's approach to the subject.These are elementary theorems of a particular theory.It is a rational type of thinking about a set of observations.

They may be scientific,or non scientific or have no discipline at all.There are three types of theory:1) scientific, 2)philosophical and 3) moral.It provides explanation regarding the underlying mechanisms .

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Consider the anion whose charge is 2- and whose electron configuration is identical to argon. what is the symbol for this anion

Answers

If the ion is negatively charged, anion, it means that it gains two electrons from its surroundings. The number of electrons of an argon (neutral atom) is 18. Two of the electrons in our anion is from the surrounding, so originally it only has 16 electrons.

In the periodic table, the 16th element is sulphur. The chemical symbol of sulphur is S. Thus, the anion is the negatively charged sulphur with chemical symbol of S2-. 

What is the maximum height at which the solvent should condense (in the condenser) during reflux? What might happen if the solvent condenses higher than this?

Answers

The answer to the first part of question is: During condensation in reflux condenser, the maximum height is halfway up to the condenser.
And the answer to second question is this that if solvent condenses higher than this maximum height, all of the solvent may run back into the reaction flask or may be the reaction will start earlier. if the solvent do not go up than the maximum height, the reaction does not happen to start earlier.

During buildup in reflux condenser, the greatest tallness is most of the way up to the condenser. In the event that dissolvable gathers higher than this most extreme tallness, the majority of the dissolvable may keep running over into the response cup or might be the response will begin prior, And if the dissolvable don't go up than the greatest stature, the response does not occur to begin prior.  

Further Explanation:  

Reflux:  

Heartburn is otherwise called acid reflux, corrosive acid reflux, or pyrosis. It happens when a portion of the acidic stomach substance return up into the throat. Heartburn makes a consuming agony in the lower chest zone, frequently in the wake of eating.  

reason for a reflux device:  

Reflux is a procedure including the buildup of vapors and the arrival of this condensate to the framework from which it began. It is utilized in mechanical and research center refining processes. It is likewise utilized in science to supply vitality to responses over an extensive stretch of time.  

Reflux is utilized:

To keep the dissolvable from dissipating, a reflux condenser is utilized. This is a glass segment with a subsequent segment encompassing it through which cool water streams. As vapor from the bubbling dissolvable ascents into inside section of the reflux condenser, it is cooled by the coat of water outwardly and consolidates.

Subject: chemistry  

Level: college

Keywords: Reflux, reason for a reflux device, Reflux is utilized.

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which of the following would be the SI unit to use in the measuring the temperature of a hot liquid? A: ampere B: Mole C: Kelvin D: celsius

Answers

The answer would be D.

Hey, I know i'm too late but the answer is


C. Kelvin


Kelvin is the correct SI unit used to measure the temperature of substance.


Hope this somewhat helps! :)

G brønsted-lowry proton transfer reaction, hydroxide functions as a/an ______.

Answers

In a bronsted lowry proton transfer reaction, the hydroxide functions as a/an proton acceptor.

Bases are the opposite of acids. Bases are basic since they take or accept protons. For example, a Hydroxide ion can accept a proton to form water.

Answer:

Base

Explanation:

A Brønsted-Lowry acid is simply a compound that supplies a hydrogen ion in a reaction. A Brønsted-Lowry base on the other hand, is a compound that accepts a hydrogen ion in a reaction.

Thus, the Brønsted-Lowry definitions of an acid and a base focus on the movement of hydrogen ions in a reaction, rather than on the production of hydrogen ions and hydroxide ions in an aqueous solution.

The hydroxide ion in these compounds accepts a proton (Hydrogen ion) from acids to form water: This means shydroxides functions as a base.

Which action is not an example of work

Answers

Can you post the options to choose from!! :)

Indicate which reaction will occur faster. explain your reasoning. select the single best answer. solvolysis of 1−chloro−2,2−dimethylpropane or tert−butyl chloride in ethanol

Answers

The tert-butyl chloride in ethanol would surely react faster than the solvolysis of 1-chloro-2,2-dimethyl propane. It is known that both reactions are under the SN2 category so it would be hard for these reactions to occur. However, SN1 reactions are possible because of the ethanol which is a polar solvent. Both would form carbocations but tert-butyl chloride forms a more stable carbocation while the 1-chloro-2,2-dimethyl propane forms a primary carbocation only. 
Final answer:

The solvolysis of 1−chloro−2,2−dimethylpropane (also known as tert-butyl chloride) will occur faster than the reaction of tert-butyl chloride in ethanol due to the greater stability of the resulting carbocation.

Explanation:

The solvolysis of 1−chloro−2,2−dimethylpropane (also known as tert-butyl chloride) will occur faster than the reaction of tert-butyl chloride in ethanol. The reason is because 1-chloro-2,2-dimethylpropane is a tertiary alkyl halide, which means it has a highly substituted carbon atom attached to the halide. This high substitution stabilizes the transition state via hyperconjugation, thereby significantly accelerating solvolysis.

This implies that the rate of reaction is directly proportional to the stability of the carbocation formed during solvolysis; tertiary carbocations are more stable than secondary ones due to hyperconjugation and inductive effect. Therefore, tertiary halides undergo solvolysis more readily than secondary halides.

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which of the following statements about line graphs is true?
A The dependent variable is on the horizontal axis.
B Line graphs are always straight lines.
C Every data point should be shown on a line graph.
D There is a maximum number of data points that can be used in a line graph.

Answers

The answer is A, the dependent variable is on the horizontal axis. Since in the equation 2x=y, the values of y is dependent of the value of x. Line graphs can be curves. Not all data points need to be shown, and there is no maximum number of data points.

How many xenon atoms are contained in 2.36 moles of xenon? 3.92 x 1024 xenon atoms 2.55 x 1023 xenon atoms 1.42 x 1024 xenon atoms 7.91 x 1025 xenon atoms 1.87 x 1026 xenon atoms?

Answers

The number of atoms can be calculated by multiplying the number of moles with the Avogadros number. The Avogadros number is 6.022 x 10^23 atoms / moles, therefore:

number of atoms = 2.36 moles * 6.022 x 10^23 atoms / mole

number of atoms = 1.42 x 10^24 atoms

 

Answer:

1.42 x 10^24 xenon atoms

Answer:

c

Explanation:

because its c

What two things are responsible for most weathering and erosion?

Answers

wind and rain i think
There are actually three things you can pick any of the two, that would be water, wind, or ice.

All substances are composed of which type of matter

Answers

elements or atoms depending on the options, but I would guess atoms.

Answer: All substances are composed of elements.

Explanation: Matter is anything which has mass and occupies space.

The substances can be made up element alone like Helium (He).

They can be made up of molecules of elements also like hydrogen [tex](H_2)[/tex]

They can also be made up of molecules of compounds like carbon dioxide [tex](CO_2)[/tex]

They can be made up of mixtures like salt solution in water.

Since all the mixtures, compounds and molecules consists of elements. Therefore, all the substances are composed of elements.

how is osmosis different from diffusion?

Answers

Osmosis is the movement of water and is always the movement in the membrane. Diffusion does not need a membrane to make molecules and Diffusion is the movement of molecules.
hoped this helped, good luck
Osmosis is pretty much the movement of water and it always moving in the membrane. Diffusion doesn't need a membrane to produce molecules. And, diffusion is the movement of the molecules

What happens to the volume of a liquid when it is poured from a small container into a large container

Answers

It remains the same because you still have the same amount of liquid so it won't take up any more or any less space than before.

Chromatography Portfolio

5. What evidence is there that marker ink is a mixture?
6. Each compound in the marker ink is represented by a color. Did one compound travel farther than others? Explain why you think that this is the case.
7. Did the compounds travel farther in water or isopropyl alcohol (rubbing alcohol)? Explain why you think that this is the case.
8. How could you improve upon the accuracy of your R[f] measurements?

Answers

5. It was evident that the marker ink is a mixture because when it was subjected to chromatography process the constituent materials which made up the marker ink got separated and appear as different bands on the chromatography paper. 
6. YES, the constituents of the marker have different travelling speed, so some travel slowly while others are fast. Their travelling rates depend on the mobile phases that are used during the chromatography process.
The constituents of the marker has different travelling speed because each one of them react differently with the mobile solvent that is used. Those constituents that have high affinity for the solvent used will travel faster that those that did not.
7. The mixture travel faster in alcohol that in water. This is because the ink dissolves more in the rubbing alcohol and has higher affinity for rubbing alcohol compare with water.
8. I can improve on my RF measurement by making sure that I read to the millimeter marks when taking my readings with ruler and by making sure that I record my value to four significant figures.

Answer:

i honestly dont know but ill try

Explanation:

hope this helps its yes

You wish to calculate the mass of hydrogen gas that can be prepared from 5.06 g of srh2 and 4.34 g of h2o.

Answers

0.228 g The balance formula for the reaction between SrH2 and H2O is SrH2(s) + 2 H2O(l) ==> Sr(OH)2(s) + 2 H2(g) So for every mole of SrH2 used, 2 moles of hydrogen gas, or 4 moles of hydrogen atoms are released. So let's calculate the molar mass of SrH2 and H2O so see what the limiting reactant is. strontium = 87.62 Hydrogen = 1.00794 Oxygen = 15.999 Molar mass of SrH2 = 87.62 + 2 * 1.00794 = 89.63588 g/mol Molar mass of H2O = 2 * 1.00794 + 15.999 = 18.01488 g/mol Moles of SrH2 = 5.06 g / 89.63588 g/mol = 0.056450609 mol Moles of H2O = 4.34 g / 18.01488 g/mol = 0.240911957 mol Looking at the balanced formula, for every mole of SrH2, it takes 2 moles of H2O. So the limiting reactant will be the SrH2. And for every mole of SrH2 used, we get 4 moles of hydrogen atoms. So 4 * 0.056450609 mole * 1.00794 g/mole = 0.227595307 g Since we only have 3 significant figures, round the result to 3 figures, giving 0.228 g

Classify each structure as alkane, alcohol, carboxylic acid, or other. click on a structure to access the rotational controls.

Answers

Final answer:

To classify each molecule as an aliphatic or an aromatic hydrocarbon, we need to determine if they are alkanes, alkenes, or alkynes.

Explanation:

To classify each molecule as an aliphatic or an aromatic hydrocarbon, we need to determine if they are alkanes, alkenes, or alkynes.

Alkane: The molecule has only single bonds between carbon atoms.Alkene: The molecule has at least one carbon-carbon double bond.Alkyne: The molecule has at least one carbon-carbon triple bond.

By examining the structure of each molecule, we can identify their classification as aliphatic or aromatic hydrocarbons.

The phosphate functional group in the non cyclic amp molecule answer

Answers

The phosphate functional group in the non cyclic amp molecule is acidic hydrogens.

AMP is a nucleotide which stands for Adenosine monophosphate and it is also known as 5'-adenylic acid. It can exist as a cyclic adenosine monophosphate molecule and non cyclic adenosine monophosphate.

Any proposed solution of a rational equation that causes a denominator to equal​ _______ is rejected.

Answers

Any rational equation that the denominator is equal to zero will be rejected. The denominator of the rational equation must never be equal to zero. These are called Extraneous Roots and this must be rejected. The extraneous roots appear when we are solving an equation in a perfectly correct way, because certain operations have more than one solution.

Using the mass of the proton 1.0073 amu and assuming its diameter is 1.0×10−15m, calculate the density of a proton in g/cm3.

Answers

Answer : [tex] 3.2 X 10^{15} g/cm^{3} [/tex]

Explanation :  To convert amu i.e. atomic mass unit in grams we have the conversion factor as 1 amu = [tex] 1.66054 X 10^{-24} g [/tex]

we know the mass of the proton is 1.0073 amu

So converting it into grams we have to multiply;

1.0073 amu X  [tex] 1.66054 X 10^{-24} g/amu [/tex] = [tex] 1.673 X 10^{-24} g [/tex]

Now, Volume = 1/6πd³ as diameter is given as [tex] 1.0 X 10^{-15} m [/tex] converting it to cm will require to multiply with 100

∴ Volume  = 1/6π [tex](1.0 X 10^{-15}mX 100 cm / 1 m)^{3} [/tex]

Hence, volume =  [tex] 5.236 X 10^{-40} cm^{3} [/tex]

Therefore, Density = mass / volume

∴ Density =  [tex] 1.673 X 10^{-24} g / 5.236 X 10^{-40} cm^{3} [/tex]

Therefore, Density will be [tex] 3.2 X 10^{15} g/cm^{3} [/tex].

The density of a proton in g / cm₃ = 3.19.10⁻¹⁵

Further explanation

Atoms are composed of 3 types of basic particles namely protons, electrons, and neutrons

the mass of the basic particle is expressed in units of atomic mass

This atomic unit uses the standard atomic mass, that is, the C-12 isotope

1 atom C-12 = 12 atomic mass units

1 atomic mass unit = 1/12 x mass 1 C-12 atom

1 unit of atomic mass = 1.66.10 ⁻²⁴ g

the basic particle mass in atomic mass units is:

electron mass = 9.11.10⁻²⁸ g

proton mass = 1.6726.10⁻²⁴ g

neutron mass = 1,675.10⁻²⁴ g

The proton mass is considered to be equal to 1 atomic mass unit and is also considered to be equal to 1 atomic mass unit

1 unit of atomic mass = 1.6726.10⁻²⁴ g = 1.6726.10⁻²⁷kg

Density is a quantity derived from the mass and volume

density is the ratio of mass per unit volume

The unit of density can be expressed in g / cm³ or kg / m3³

Density formula:

[tex]\large {\boxed {\bold {\rho ~ = ~ \frac {m} {V}}}}[/tex]

ρ = density

m = mass

v = volume

Assume protons as spheres

with a diameter of 1.0 × 10⁻¹⁵m = 1.0.10⁻¹³ cm

then the volume = 4/3 π r³ or 1/6πd³

proton volume = 1 / 6π(1.0 × 10⁻¹³)³

proton volume = 5.23.10⁻⁴⁰

density becomes:

density = mass: volume

density = 1.6726.10⁻²⁴: 5.23.10⁻⁴⁰

density = 3.19.10⁻¹⁵ g/cm³

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Keywords: density, mass, volume

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