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- Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7) and the n=2 wave function for the weakest bound electron, calculate the probability of finding the electron in an 0.1 interval centered midway between the two inner carbon atoms (that is, the center is at x=2.11 , so this interval is from x1=2.06 to x2=2.16 ). Then calculate the probability of finding the electron in an 0.1 interval centered midway between an end carbon atom and the carbon atom that is double-bonded to it in the Lewis dot structure. (You may calculate the appropriate integrals or estimate the relevant areas under the curve graphically.) Then recalculate the probabilities by approximating the integral as |( x 0)|2x , where x0 is evaluated in the middle of the range from x1 to x2 . Finally, explain why you can’t approximate the integral needed for Problem 37(a) in this way.Asap4. The n-electron system in benzene may be approximated as a particle-on-a-ring with a radius of r, which is also the length of the C-C bonds in the ring. This bond length is approximately 1.39 A. The energy levels for the p-o-a-r are given by: n'h E, ,where n = 0, t1, ±2, 13, . 2m,r? The six r-electrons in benzene fill the (singly degenerate) n 0 level, and the (doubly degenerate) n=t1 level. The first excited state, then corresponds to exciting an electron from n=1 to n=2. a) Using the given bond length, calculate the energy change for the benzene molecule as an electron is excited from n=1 to n=2. b) Calculate the wavelength of light that benzene would need to absorb to undergo that energy change. Compare that with the experimental value of 268 nm. c) In what portion of the electromagnetic spectrum is this wavelength? d) Using the experimental wavelength from part b above, calculate the effective bond length in benzene. e) Is the particle-on-a-ring approximation valid? Give a…
- The acidic hydrogen in benzoic acid is IR active at 3573 cm 1. Assuming this hydrogen behaves as a quantum harmonic oscillator, calculate the following (your final answer must be a numerical value). Hints: use the mass of a single hydrogen atom in kilograms and use the frequency, v, in s. 1. ao 2. a 3. az 4. as 5. Normalization constant for wo(x). 6. Normalization constant for w₁(x). 7. Normalization constant for w₂(x). 8. Normalization constant for ws(x).ANSWER all components of LETTER B ONLY.FIVE STAR. XX XX Worksheet 10: deBroglie and Heisenberg c = Av Ephoton = hv CHEM 130 1. Photoelectric effect follow-up: The minimum energy needed to remove one mole of electrons from the KE = hv – & c = 2.998 × 108 m/s h=6.626 ×10-34 J.s = 6.63 x 10-34 kg•m²/s energy or work function (0) for Cs. Calculate the wavelength (in nm) of a photon that could remove an Fall 2021 surface of cesium (Cs) metal is 187.9 kJ. As discussed in class, this is equivalent to the electron binding lectron from the surface of cesium with an acquired kinetic energy (KE) of 3.96 x 10 20 J. XX XXXXX XXXXXXX XXXXX
- 10:47 PM Thu Oct 14 AA www-awn.aleks.com G periodic tabl... Home YouT... G Watch YouTu... Home YouT... G Watch YouTu... XALEKS - Caliy... G kno3 acid or... G linear progra... G write formula... O THERMOCHEMISTRY Caliyal Calculating a molar heat of reaction from formation enthalpies Using the table of standard formation enthalpies that you'll find under the ALEKS Data tab, calculate the reaction enthalpy of this reaction under standard conditions: C,H¿OH(1)+3 O,(g)→2 CO,(9)+3 H,O(1) Round your answer to the nearest kJ. OLX Explanation Check 202 MCOraw Hill LLC. All Rights Reserved. Terms of Use | Privacy CenterQ.1: The force constant of the bond in HCl is (516 N/m). Assuming the value of the force constant does not depend on the mass of the atoms in the molecule, calculate the fundamental vibrational frequency of each of the following: 'HCl. 'H'Cl and ?H*Cl. Q.2: The Interatomic Distance in the HCl Molecule The spacing, A(1 /2) between the lines in the rotational spectrum of HCI(g) is 20cm'.Calculate the distance between the nuclei (the length of the bond) in the HCl molecule.Hernandez, Anthony 20-21 Chemistry DCA 1 [28 Items] 6 7 11-20 P N- 1. 3 4 5 6. 10 All Items 4. Which of these is the electron-dot diagram for Br2? F.O H.O Br-Br J.O .. :Br-Br: 一
- The radiation of the wavelengths as below is used in the UV-Vis-Near-IR, the microwave and NMR spectrometers. Calculate the energy per one mole of photons for the radiation of the following wavelengths: a) 1.5 m (NMR radiation); b) 1.5 mm (microwave radiation); c) 1.5 μm (near IR radiation); Hint: one mole contains the NA (the Avogadro number) of photons.uondo puewwo) gE MOSISO M. { N. P. B. C. 7. 5. 4. %2$ MacBook Pro 3. O 9.37 x 10-30 J O 3.67 x 10-20 J O 6.37 x 1010 J O 36.7 x 1010 J the surface? A metal surface is exposed to infrared radiation with a wavelength of 5.42x10- cm. How much energy can be absorbed by3. What is an expectation value? When, why, and how is one calculated?