an electron in a theoretical one dimensional box of length 10 nm, what is the lowest translational energy? (m = 9.11 x 10 kg) ect one: 11 a. 9.09 x 10"J -22 b. 6.02 x 10 J -30 c. 6.02 x 10 J -34 d. 1.32 x 10 J

an electron in a theoretical one dimensional box of length 10 nm, what is the lowest translational energy? (m = 9.11 x 10 kg) ect one: 11 a. 9.09 x 10"J -22 b. 6.02 x 10 J -30 c. 6.02 x 10 J -34 d. 1.32 x 10 J

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter9: Pre-quantum Mechanics

Section: Chapter Questions

Problem 9.56E: Electron microscopes operate on the fact that electrons act as waves. A typical electron kinetic...

See similar textbooks

Related questions

Q: It requires a minimum of 216.4 kJ/mol to remove an electron from a potassium metal surface. If UV…

Q: d2 Solve for the commutation relationship &, dx2 9.

Q: Gives values of angular node and plane of 3p, 4d,2p,4f,4s.

A: In this question, we will determine the values of angular node and nodal plane in each sub-shells.…

Q: If a proton and electron are released when they are 2.0 m apart, find the initial acceleration of…

A: The protons and the electrons are the subatomic particles present in an atom. The acceleration can…

Q: A He+ ion is exposed to electromagnetic radiation and its electron is promoted to the 2nd shell…

A: A He+ ion is exposed to electromagnetic radiation and its electron is promoted to the 2nd shell…

Q: After graphing the appropriate variables for the linear Rydberg equation you obtain the following…

A: Please have a look on the solution:

Q: The components of angular momentum are as follows: I. L, = yp; - "Py II. L. = xp,- yPx П. L, 3 ур. —…

A: Angular momentum L→ is the cross product of the position vector r→ and the linear momentum vector p→

Q: In atomic units, the magnitude of the angular momentum for 6f orbital is: Group of answer choices…

A: The given electron is in 6f subshell.

Q: Some of the most powerful lasers are based on the energy levels of neodymium in solids, such as…

A: Given: Energy, E=1.17 eV

Q: An electron is confined to a linear region w ith a lengthof the same order as the diameter of an…

A: Length of the atom is of same order as the diameter. Thus the minimum uncertainty in position is 100…

Q: The given wave function for the hydrogen atom is y=100+210+3211. Here, nim has n, 1, and m as…

Q: An electron is confined to a linear region with a length of the same order as the diameter of an…

A: The expression for Heisenberg’s uncertainty principle is as follows,…

Q: Please find the two closest Lz states to this angular momentum eigenstate lö> = 5 (² (3 cos² 0 - 1)…

Q: A typical plasma in an ICP increases the temperature of an atom by about 9000 K (i.e. from 273 K to…

A: Given: Temperature = 9000 K ΔE = 3.00 * 10-19 J kboltzman = 1.381 * 10-23 J/K degeneracy of the…

Q: Highly excited atoms have electrons with large principal quantum numbers. Such Rydberg atoms have…

A: a) The energy level for an atom is given by the expression is as follows, The difference in energy…

Q: 2. Rank the following three transitions in the hydrogen atom in terms of lowest to highest wave-…

A: Appropriate answer in step 2.

Q: After graphing the appropriate variables for the linear Rydberg equation you obtain the following…

Q: What is the work function in J for Ag? a. 7.21E-19 b. 7.53E-19 C. 2. d. 7.58E-19

A: Work function is the minimum thermodynamic work needed to remove an electron to a point in a vacuum…

Q: A local AM radio station broadcasts at an energy of 5.29×10-31 kJ/photon. Calculate the frequency at…

Q: a. Circle the particle that is NOT neutral (1) p-26 e-26 n-30 (2) p-30 e-28 n=35 (3) p=16 e-16 n=18…

Q: What is the frequency of a micro wave that has a wavelength of 1.5x10 m? Given: v =c= 3x10 m/s…

A: Wave velocity = frequency * wavelength Wavelength = 1.5*102 m Wave velocity = 3*108m/s Frequency =…

Q: C60 emerging from a source at a speed (v) has a de Broglie wavelength of 11.0 Å. The value of v (in…

A: In this question, de Broglie wavelength of C60 is given and speed (v) of C60 is to be determined.…

Q: Use the Schrödinger equation to come up with a formula for the energy of a particle rotating on a…

Q: Calculate the energy of the radiation with the given wavelengths: 275 nm 375 nm 475 nm…

A: Wavelength is defined as the distance between two crests and two troughs. It is represented by λ…

Q: One of the most important practical results of black body radiation and the hypotheses of Max Planck…

A: A black body is an object that absorbs all electromagnetic radiation comes in contact with it. It…

Q: A local FM radio station broadcasts at an energy of 6.35×10-29 kJ/photon. Calculate the frequency…

A: To find the value of frequency.

Q: The following are two sets of data for the atomic mass of antimony the work of Willard and McAlpine…

Q: If a nitrogen molecule is trapped in a hypothetical 1-D box of length 1.10 cm, at what value of the…

A: Translational energy :- It is the energy which is associated with displacement of a…

Q: 2

A: Given,

Q: 6. An electron in a hydrogen atom falling from an excited state (n = 7) to a relaxed state has the…

Q: Calculate the energy for each level of the H and He". HYDROGEN Orbit Energy N= 1 n=2 n =3 n = 4 N =5…

A: In this question,we have to calculate the energy for each level of H and He+:

Q: *11.33. Prove that any two wave functions for a particle in a one-dimensional box of length a are…

A: wavefunction complete mathematical description of an electron

Q: Find the of ψ123 for a three-dimensional particle in a box

Q: 31 For an electron in a theoretical one dimensional box of length 2 cm, what is the lowest…

A: An electron confined to a one-dimensional box has energy levels given by the equation En=n²h²/8meL²…

Q: Is kinetic energy of photoelectron dependent on the xray beam energy?

A: Photoelectric effect :- The ejection of electron from the surface of a metal when a light of…

Q: 13) A particle is orbiting about a central location with an orbit radius of 0.69 nm. The m = 2 state…

Q: Chemistry 3. The term symbol 3D could have what total angular momentum (J) values?

Q: 1. How do you get a particle out of the 1D box of infinite height? 2. How do you get a particle out…

Q: The components of angular momentum are as follows: I L= yP: - P, II. L = xp, - yP. IV. L̟ = xp; -…

A: Here, We have to write the angular momentum operator.

Q: Q11: Calculate the momentum of electron in 2nd state of hydrogen atom? How much the angular momentum…

Q: (a) Consider a 10 nm diameter silver particle composed of 0.3 nm diam- eter atoms. Calculate the…

A: Volume of silver particle =43πr3=43×3.14×(102)3 nm3=523.33 nm3

Q: Electron microscopes operate on the fact that electrons act as waves. A typical electron kinetic…

A: Given: The mass of electron m =9.11 x 10-31 kg The charge on the electron, e =1.602 × 10−19 C plank…

Q: True or false: 1. Tunneling is more likely to contribute to reactions involving electron transfer…

A: Quantum mechanical tunneling is the phenomenon in which particles can penetrate through the…

Q: 10 8 7 6. 4 3 2 1 1.1 ppm d, 6H 3.6ppm septet, 1H M/z 102

Q: 03. What volume of 16 M sulfuric acid must be used to prepare 1.5 L of a 0.10M H,SO, solution? A.…

A: The concentration of a solution decreases upon dilution.

Q: Derive equation 3 from equation 1

A: The given relation of wavelength (λ) with energy levels participating in a transition is given as…

Q: 1. What is n the value of 4d6? 2. What is the ml value of 4d6? 3. What is the ms value of 4d6? 4.…

A: 1. n value for 4d6 n = 4 Principal quantum number =4 Electron belongs to 4th energy level. For a…

Concept explainers

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.

Question

For an electron in a theoretical one dimensional box of length 10 nm, what is the lowest translational energy? (m = 9.11 x 10 kg)
-31
Select one:
O a. 9.09 x 10
10" J
-22
O b. 6.02 x 10 J
-30
O c. 6.02 x 10
J
-34
O d. 1.32 x 10J

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

The maximum in the blackbody radiation intensity curve moves to shorter wavelength as temperature increases. The German physicist Wilhelm Wien demonstrated the relation to be max1/T . Later, Planck’s equation showed the maximum to be max=0.20hc/kt . In 1965, scientists researching problems in telecommunication discovered “background radiation” with maximum wavelength 1.05 mm (microwave region of the EM spectrum) throughout space. Estimate the temperature of space.
State how many radial, angular, and total nodes are in each of the following hydrogen-like wavefunctions. a 2s b 3s c 3p d 4f e 6g f 7s
A particular transition of the rubidium atom emits light whose frequency is 3.84 1014 Hz. (Hz is the abbreviation for hertz, which is equivalent to the unit/s, or s1.) Is this light in the visible spectrum? If so, what is the color of the light? (See Figure 7.5.)
What is a rotating frame of reference?
How many nodal planes exist for a 5d orbital? (a) 0 (b) 1 (c) 2 (d) 3
Electron microscopes operate on the fact that electrons act as waves. A typical electron kinetic energy is 100keV 1eV=1.6021019J. What is the wavelength of such an electron? Ignore relativistic effects.
In a FranckHertz experiment on sodium atoms, the first excitation threshold occurs at 2.103 eV. Calculate the wavelength of emitted light expected just above this threshold. (Note: Sodium vapor lamps used in street lighting emit spectral lines with wavelengths 5891.8 and 5889.9 Å.)
Calculate the energy per mole of photons for the laser used in Blu-ray players ( = 405 nm)
A lightbulb radiates 8.5% of the energy supplied to it as visible light. If the wavelength of the visible light is assumed to be 565 nm, how many photons per second are emitted by a 75-W lightbulb? (1W=1J/s)
The Doppler effect is one of the sources of the line broadening in atomic absorption spectroscopy. Atoms moving toward the light source encounter higher-frequency radiation than atoms moving away from the source. The difference in wavelength experienced by an atom moving at speed v (compared to one atrest) is / = v/c , where c is the velocity of light. Estimate the line width (in nanometers) of the lithiumline at 670.776(6707.76 Å) when the absorbing atoms are at a temperature of (a) 2000 K and (b) 3120 K.The average speed of an atom is given by v=8kT/m , where k is Boltzmann’s constant, Tis the absolute temperature, and m is its mass.
Radio waves in the AM region have frequencies in the range 530 to 1700 kilocycles per second (530 to 1700 kHz). Calculate the wavelength corresponding to a radio wave of frequency 1.460 106/s (that is, 1460 kHz).
Using Table 5.2, write down the mathematical expression for the 2px wave function for an electronically excited H atom. Estimate the probability of finding the 2px electron if you look in a cubical box of volume of 0.8(pm)3 centered at a distance of 0.5001010m in the =/2 , =0 direction. Does this probability change as you change ? At what angles is the probability of finding the electron smallest and at what angles is the probability the largest? (Note that =2 is the same location as =0 , so don’t double count.)