Consider an electron with charge −e−e and mass mmm orbiting in a circle around a hydrogen nucleus (a single proton) with charge +e+e. In the classical model, the electron orbits around the nucleus, being held in orbit by the electromagnetic interaction between itself and the protons in the nucleus, much like planets orbit around the sun, being held in orbit by their gravitational interaction. When the electron is in a circular orbit, it must meet the condition for circular motion: The magnitude of the net force toward the center, FcFcF_c, is equal to mv2/rmv2/r. Given these two pieces of information, deduce the velocity vvv of the electron as it orbits around the nucleus. Express your answer in terms of eee, mmm, rrr, and ϵ0ϵ0epsilon_0, the permittivity of free space.

Answers

Answer 1

Answer:

Explanation:

The net force on electron is electrostatic force between electron and proton in the nucleus .

Fc = [tex]\frac{1}{4\pi\epsilon} \times \frac{e\times e}{r^2}[/tex]

This provides the centripetal force for the circular path of electron around the nucleus .

Centripetal force required = [tex]\frac{m\times v^2}{r}[/tex]

So

[tex]\frac{m\times v^2}{r}=\frac{1}{4\pi\epsilon} \times \frac{e\times e}{r^2}[/tex]

[tex]v^2=\frac{e^2}{4\pi \epsilon m r}[/tex]

[tex]v=(\frac{e^2}{4\pi \epsilon m r})^{\frac{1}{2} }[/tex]


Related Questions

the mass concentration the mass concentration for a solution containing 45 g of calcium carbonate is 100 cm3 ​

Answers

Answer: The mass concentration for a solution containing 45 g of calcium carbonate for 100 [tex]cm^{3}[/tex] is 0.045 M.

Explanation:

Given: Mass of calcium carbonate = 45 g

Volume = [tex]100 cm^{3}[/tex]

Convert [tex]cm^{3}[/tex] into L as follows.

[tex]1 cm^{3} = 0.001 L\\100 cm^{3} = 100 cm^{3} \times \frac{0.001 L}{1 cm^{3}}\\= 0.1 L[/tex]

Moles of calcium carbonate (molar mass = 100 g/mol) is as follows.

[tex]No. of moles = \frac{45 g}{100 g/mol}\\= 0.45 mol[/tex]

Molarity is the number of moles of solute present in a liter of solution.

Hence, molarity (or mass concentration) of given solution is calculated as follows.

[tex]Molarity = \frac{no. of moles}{Volume (in L)}\\= \frac{0.45 mol}{0.1 L}\\= 0.045 M[/tex]

Thus, we can conclude that the mass concentration for a solution containing 45 g of calcium carbonate for 100 [tex]cm^{3}[/tex] is 0.045 M.

how many moles are in 89 grams of Pb(CH3COO)4

Answers

Answer:

0.20 moles of Pb(CH3COO)4

Explanation:

89g Pb(CH3COO)4 x 1 mol Pb(CH3COO)4 / 443.376 g Pb(CH3COO)4

= 0.20 moles of Pb(CH3COO)4

One mole of lead acetate weighs 443.29 g. Then, 89 grams of lead acetate contains 0.20 moles of Pb (CH₃COO)₄.

What is one mole ?

One mole of a substance is its amount containing 6.02 × 10²³  atoms or molecules. This number is called Avogadro number. One mole of every elements contains Avogadro number of atoms.

Similarly one mole of every compound contains 6.02 × 10²³  molecules. The mass of one mole of compound is called its molar mass. The number  of moles of the compound can be determined by dividing the given mass by molar mass.

Molar mass of lead acetate = 443.29 g/mol

given mass  = 89 grams

then , no.of moles = weight/molar mass

n = 89 g/ (443.29 g/mol) = 0.20 moles

Therefore, the number of moles of Pb (CH₃COO)₄ in 89 g is 0.20 moles.

Find more on Avogadro number:

http://brainly.com/question/11907018

#SPJ5

Which particles appear in equal numbers in all uncharged atoms? Proton, Neutron, Electron, None

Answers

Answer:

In an uncharged atom, the number of protons is always equal to the number of electrons. Apr 24, 2017

Explanation:

Neutron: An uncharged particle found in the nucleus of an atom.

There is only one stable atom that does not have neutrons. It is an isotope of the element hydrogen called protium. Protium, which contains a single proton and a single electron, is the simplest atom.

How many grams of carbon dioxide will be produced if 76.4 grams of
C2H3Br3 reacted with 49.1 grams of O2? How many grams of the
excess reactant will be left after the reaction is over? Consider the
equation: C2H3Br3+O2 -> CO2+H2O+Br2

Answers

Answer:

Assuming that all of the oxygen is used up, 1.53×4111.53×411 or 0.556 moles of C2H3Br3 are required. Because there are only 0.286 moles of C2H3Br3 available, C2H3Br3 is the limiting reagent.

Limiting Reagent What is the limiting reagent if 76.4 grams of C2H3Br3 were reacted with 49.1 grams of O2? C2H3Br3 + 11O2 → 8CO2 + 6H2O + 6Br2 SOLUTION Using Approach 1: A. 76.4g × (1 mol/ 266.72 g) = 0.286 moles C2H3Br3 49.1g × (1 mole/ 32 g) = 1.53 moles O2 B.

Explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

https://chem.libretexts.org/Bookshelves/Introductory_Chemistry/Map%3A_Introductory_Chemistry_(Tro)/08%3A_Quantities_in_Chemical_Reactions/8.04%3A_Limiting_Reactant_and_Theoretical_Yield

Step:1  When we are Assuming that all of the oxygen is used up, 1.53×4111.53×411 or 0.556  with the moles of C2H3Br3 are required. Just Because there are only 0.286 moles of C2H3Br3 available, C2H3Br3 is the limiting reagent. Step:2 When there are Limiting Reagent What is the limiting reagent if 76.4 grams of C2H3Br3 were reacted with 49.1 grams of O2? C2H3Br3 + 11O2 → 8CO2 + 6H2O + 6Br2 SOLUTION Using Approach 1: when is equal to Conclusion is that: Thus, that A. 76.4g × (1 mol/ 266.72 g) = 0.286 moles C2H3Br3 49.1g × (1 mole/ 32 g) = 1.53 moles O2 B.

Learn more about

https://brainly.com/question/20454467

Place the following in order of increasing entropy at 298 K.
Ne Xe He Ar Kr
A) He < Kr < Ne < Ar < Xe.
B) Xe < Kr < Ar < Ne < He.
C) Ar < He < Ar < Ne < Kr.
D) Ar < Ne < Xe < Kr < He.
E) He < Ne < Ar < Kr < Xe.

Answers

Answer:

E

Explanation:

The simple rule of thumb is that as the atomic or molar mass of an atom increases, the entropy increases. This means that more the mass more will be entropy.

The atomic mass of various elements is as follows

Ne = 20 g/mol

Xe = 131 g/mol

He = 4 g/mol

Ar = 40 g/mol

Kr = 84 g/mol

Therefore, the order of increasing entropy must be

He<Ne<Ar<Kr<Xe.

Hence, option E is the correct answer.

Determine the type of reaction: AgNO3 + Cu --> Cu(NO3)2 + Ag

Answers

Explanation:

Cu + 2 AgNO3 → Cu(NO3)2 + 2 Ag

Cu is oxidized

Ag+ is reduced

Cu is the reducing agent

To solve such this we must know the concept of displacement reaction. The balanced reaction of silver nitrate with copper is of  displacement type of reaction.

AgNO[tex]_3[/tex] + Cu [tex]\rightarrow[/tex] Cu(NO[tex]_3[/tex])[tex]_2[/tex] + Ag

What is Balanced equation?

Balanced equation is the one in which the total number of atoms of a species on reactant side is equal to the total number of atoms on product side. The mass of the overall reaction should be conserved. There are so many types of chemical reaction reaction like combination reaction, displacement reaction.

The reaction between silver nitrate and copper is example of displacement reaction. Copper displaces silver from silver nitrate. to form copper nitrate.

Therefore, the balanced equation is of displacement type of reaction.

AgNO[tex]_3[/tex] + Cu [tex]\rightarrow[/tex] Cu(NO[tex]_3[/tex])[tex]_2[/tex] + Ag

Learn more about the balanced equation, here:

https://brainly.com/question/7181548

#SPJ2


True or False: A higher vapor pressure (evaporates easily) corresponds to strong intermolecular forces.

Answers

the answer prob false

If oxygen gas at 118 °C and 10.8 atm was heated to 948 °C, what would the new
pressure be?

Answers

Answer: The new pressure is 1.34 atm.

Explanation:

Given: [tex]P_{1}[/tex] = 10.8 atm,         [tex]T_{1} = 118^{o}C[/tex]

[tex]P_{2}[/tex] = ?,                  [tex]T_{2} = 948^{o}C[/tex]

Formula used to calculate the new pressure is as follows.

[tex]\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}\\\frac{10.8 atm}{118^{o}C} = \frac{P_{2}}{948^{o}C}\\P_{2} = 1.34 atm[/tex]

Thu, we can conclude that the new pressure is 1.34 atm.

Draw a schematic diagram of a circuit with an output device, a energy source and a controller.

Answers

Answer:

ch∪pαpi munαn0?

Explanation:

is this correct im just asking because my little brother not sure for his answer ​

Answers

I think it’s not right


Why would you want to slow down a chemical reaction? ​

Answers

Answer:

We often want to decrease the rates of certain reactions rather than speeding them up. For example, to prolong the shelf lives of certain foods, the chemical reactions by which they spoil must be slowed down.

For each event stated below, indicate how the concentration of each species in the chemical equation will then change to reach equilibrium.

2CO(g) + O2(g) ⇌ 2CO2(g)

a. increasing the concentration of CO
b. decreasing the amount of O2
c. decreasing the the volume of the system

Answers

Answer:

See Explanation

Explanation:

When a constraint such as a change in temperature, concentration or pressure is imposed on a reaction system in equilibrium, the system will readjust itself in such a way as to annul the constraint. This readjustment occurs when the equilibrium position shifts towards the left or right in order to annul the constraint.

a. increasing the concentration of CO: When the concentration of CO is increased, the equilibrium position shifts to the right in order to annul the constraint. This means that more CO2 is produced in the system while the concentration of CO and O2 are decreased until equilibrium is reestablished.

b. decreasing the amount of O2: When the amount of O2 is decreased, the equilibrium position will shift to the left and more CO and O2 are produced while the concentration of CO2 decreases until equilibrium is reestablished.

c. decreasing the the volume of the system: When the volume of the system is decreased, the equilibrium position shifts towards the right hand side where there is less total volume. Hence the concentration of CO and O2 decreases while the concentration of CO2 increases.

You can find the speed on a distance-versus-time graph by finding the slope of the line.

True
False

Answers

true, finding the points at which speed has a given time (needed to find the slope of the graph) will give you the relationship between the variables

PLZ ANSWER QUICK I AM IN TIMER HELP WILL GIVE BRAINLIEST
Which is greater, the moon's period of rotation or its period of revolution?

They are equal.

the moon's revolution period around Earth

Neither are known.

the moon's rotational period

Answers

Answer:

B

Explanation:

2) Choose the best answer. Which type of reaction is this? NaOH + H2O → Na+ + OH strong base dissociation strong acid dissociation weak base dissociation neutralization weak acide dissociation​

Answers

Answer:

strong Base Dissociation

Explanation:

NaOH is baseNaOH is strong base that means strong acids ionizes almost completely when dissolved in water.

write a story of your life when you were hurted by someone whom you trusted blindly...​

Answers

Answer:

Sis I think it happened with me but I am not able to remember if u want u can share if it happened with u

ACTIVITY NO.3
DIRECTIONS: Read each item carefully. Choose the letter of your answer.
1. Light travels in a
line when is passes through a single medium.
a. curve
b. straight
C. crooked
d. dotted
2. When the sound travels through solids, the vibration of the particles occurs
?
a. fast
b. slowly
c. moderately
irregularly
3. What affects the speed of sound as it travels?
a. Person receiving it
b. The origin of the sound
c. The nature of materials
d. Loudness of the sound
4. How is heart transferred in solid materials?
a. Through convection
b. Through conduction
c. Through radiation
d. Through vacuum
5. What is the direction of heat transfer?
a. From hot to cold
b. From Cold to hot
c. From bottom to top
d. From side to side​

Answers

Be more specific I just need points

The primary structure of a protein is determined by

A. The order of amino acids in the protein.
B. The amino acid composition.
C. The hydrogen bonding that gives the protein three dimensional shape.
D. The intertwining of protein molecules to form a “functional” protein.

Answers

Answer: I believe the answer is A. The order of amino acids in the protein.

Explanation:

If you have 1.82 moles of mercury (Hg), how many grams of mercury do you have?

Answers

Answer:

182

Explanation:

1 hectogram (hg) = 100 grams (g)

1.82 x 100 = 182

Plz help plz help me will mark Brainly

Answers

Answer:

Greenhouse gases absorb some of the energy and trap it in the lower atmosphere. Less heat radiates into space, and Earth is warmer. Many greenhouse gases occur naturally. Carbon dioxide, methane, water vapor, and nitrous oxide are naturally present in Earth's atmosphere. Since some of the extra energy from a warmer atmosphere radiates back down to the surface, Earth's surface temperature rises.

Hope this helped! :)

Which of the following does NOT represent a balanced reaction? ​

Answers

Answer:

letter D i think

Explanation:

correct me if im wrong

What is (aq),(I), and (g) mean in H2O2(aq) -> H2O(l) + O2(g) and why is it nesesary to have (aq),(I), and (g)

Answers

Explanation:

A matter can be present in different states like solid, liquid or gas. When we write a chemical equation then states of species involved are also mentioned.

This is because it tells in what state the reactants were present and in what state the products are then formed.

For example, [tex]H_{2}O_{2}(aq) \rightarrow H_{2}O(l) + O_{2}(g)[/tex]

Now here, (aq) means aqueous, (l) means liquid and (g) means gas.

So, these states denoted are necessary as it tells that [tex]H_{2}O_{2}[/tex] in aqueous state dissociates to give [tex]H_{2}O[/tex] in liquid state and [tex]O_{2}[/tex] in gaseous state.

Phosphorus (P4) and hydrogen gas can combine to form phosphine (PH3), a toxic gas with the odor of rotting fish. Complete and balance the equation for this chemical reaction.

Answers

Answer:

P₄ + 6 H₂ ⇒ 4 PH₃

Explanation:

Let's consider the unbalanced reaction that takes place when phosphorus reacts with hydrogen to form phosphine. This is a synthesis reaction.

P₄ + H₂ ⇒ PH₃

We will balance this reaction using the trial and error method. First, we will balance P atoms by multiplying PH₃ by 4.

P₄ + H₂ ⇒ 4 PH₃

Finally, we get the balanced equation by multiplying H₂ by 6.

P₄ + 6 H₂ ⇒ 4 PH₃

cómo se puede comprobar el efecto universo​

Answers

Answer:

???! huhhhjhhh no I speak English

Explanation:

?

Answer:

vifucivud UKvi uiiijhhh

Answer both of these true or false correctly

brainliest if correct

Answers

Answer:

There both true.

Explanation:

Hope this helps

Answer:

The first one is True

The second one is false

Explanation:

Products will form faster if___
A) temperature is decreased
B) the reaction is not stirred
C) the particle size of the reactants are larger
D) concentration of the reactants are increased

Answers

Answer:

C(btw this could be wrong)

Explanation:

Answer:

B is the answer

Explanation:

7. What is the mass of a piece of copper (Cu) that undergoes a 25.0 °C
temperature change with the loss of 428 J of energy?

Answers

Answer:

0.0428 kg or 42.8 g

Explanation:

Applying,

Q = cmΔt.............. Equation 1

Where Q = heat lost of heat gained, c = specific heat capacity of copper, m = mass of copper, Δt = temperature change.

make m the subject of the equation above

m = Q/cΔt.................. Equation 2

From the question,

Given: Q = 428 J, Δt = 25 °C

Constant: c = 400 J/kg.°C

Substitute these values into equation 2

m = 428/(25×400)

m = 0.0428 kg

m = 42.8 g


Find the % composition for each element in Zinc Chlorate

Answers

Answer:

chlorine ~ 30%

zinc ~ 28%

oxygen ~ 41%

Explanation:

to make a large quantity of a 5% solution of HCl but only have 25mL HCl. what volume of 5% solution can be made from this volume of HCl?

Answers

Answer:What is the volume of 37% HCl?

If however you meant to say 0.025M and assuming you want to prepare 1L solution then the volume of 37% HCl needed should be= (1000 X 0.025X 36.5)/ (37X1.19X10)=2.07 mL diluted to 1 L using DI water. Good day. If you want 0.025 mole HCl solution, you should take a 2.09 ml of your acid.

Explanation:To prepare 5% solution from this acid; simply take 5 ml. of the acid and add it to 95 ml of distilled water.You get a 5%HCl solution. By the way, Hydrogen Chloride is the name designated to the gas evolved from HCl acid

To determine the volume of a 5% solution that can be made from 25 mL of HCl, we need to use the equation: C1V1 = C2V2

Where:

C1 = Initial concentration of HCl

V1 = Initial volume of HCl

C2 = Final concentration of the solution (5% or 0.05 in decimal form)

V2 = Final volume of the solution (unknown)

What is HCl?

HCl stands for hydrochloric acid. It is a strong, highly corrosive acid that is commonly used in various industrial, laboratory, and chemical applications. In its pure form, hydrochloric acid is a colorless liquid with a pungent odor. It is composed of hydrogen (H) and chlorine (Cl) and is known for its acidic properties.

Let's plug in the known values:

C1 = 100% (since the initial HCl is undiluted)

V1 = 25 mL

C2 = 5% or 0.05

V2 = Unknown

Solving for V2:

C1V1 = C2V2

(1)(25 mL) = (0.05)(V2)

25 mL = 0.05V2

Divide both sides by 0.05 to isolate V2:

V2 = 25 mL / 0.05

V2 = 500 mL

Therefore, from 25 mL of HCl, you can make a 500 mL solution with a concentration of 5%.

Learn more about HCl at:

https://brainly.com/question/29204122

#SPJ2

pls help i need asap will mark brainlest

Answers

Answer:

B. 50%

Explanation:

2H₂ + CO → CH₃OH

First we convert the given masses of the reactants into moles, using their respective molar masses:

4 g H₂ ÷ 2 g/mol = 2 mol H₂25 g CO ÷ 28 g/mol = 0.893 mol CO

0.893 moles of CO would react completely with (0.893 * 2) 1.786 moles of H₂. As there are more H₂ moles than that, H₂ is the reactant in excess and CO is the limiting reactant.

Now we calculate how many CH₃OH moles would have been formed if all CO would have been consumed:

0.893 mol CO * [tex]\frac{1molCH_3OH}{1molCO}[/tex] = 0.893 mol CH₃OH

Then we convert 0.893 moles of CH₃OH into grams, using its molar mass:

0.893 mol CH₃OH * 32 g/mol = 28.57 g

Finally we calculate the percent yield:

14 g / 28.57 g * 100% = 49%
Other Questions
A data set is made up of these values.8, 10, 11, 13, 14, 16, 17Find the interquartile range,O A. 17 - 13 = 4B. 10 - 8 = 2O C. 16 - 10 = 6D. 17 - 8 = 9 Factor the following the expression,-15m -25 A study has found, among 100 students at a school, that enrollment in drama classes is correlated with high rates of participation in social-service projects. What can we conclude from this correlation for this population?O Both of the aboveO Neither of the above.O Drama classes cause increased volunteerismVolunteering causes interest in drama, The elements neon and argon are not reactive Find the center and radius of thiscircle.(x - 2)2+(y + 3)2 = 36 20 Points please help me fast help me Select the correct answer.What is the function of committees in the legislative process?A. They decide which bills should proceed to the full chamber.B. They choose which chamber will vote first on a bill.C. They tell the governor or president whether to sign a bill.D. They write all new bills for state and federal governments. a parallelogram is transformed according to the rule (x , y) 1. Please help !!! Provide work if possible ! What part of the excretory system transport urine from the kidneys to the bladder? 8. Leave the scene and avoid questionable places. (8 points) Collisions only result in a reaction if the particles collide with a certain maximum energy called the activation energy of the reaction. What is the purpose of exploring data? a.To generate labels for your data.b.To gain a better understanding of your data.c.To gather your data into one repository.d.To digitize your data. In the poem, You Are My Music, the poet uses figurative language to describe the sign language as hands that dance.How does this help the reader to understand the connections that the characters have made?A. The characters have musical hands.B. The characters can communicate with each other through sign language.C. The characters always have happy hands.D. The characters can all make the sign for music.ill give brainlest if correct!!! asap please The length of a rectangular prism is four times the width. The height of the prism is 160ft^3, what is the width of the prism? Round the the nearest tenth of a foot The power of Congress to investigate is an example of itsreserved powers.inherent powers.implied powers.delegated power Your baby brother has an ear infection. The doctor said there are probably 50,000 bacteria in his left ear. The penicillin the doctor prescribed will kill 7% of the bacteria every hour. About how long will it take for there to be less than 25,000 bacteria? Give the following sequence for f(x) = 4x^2 - x , when x is -4, 1, 2A. 68, 14, 3B. 7, 14, 3C. - 64, - 14, 3D. 58, 14, 3 1Select the correct answer from each drop-down menu.An element has an atomic mass number of 16 and an atomic number of 7.The element has protons andneutrons.ResetNext if the length is 18 inches and the width is 24 inches what's the area