a) Calculate the numerical values of the energies of the first four energy levels in hydrogen in units of both joules (J) and in electron-volts (eV). The first four energy levels are found substituting n = 1, 2, 3, 4 into the equation you found in section (f) above. Show all work. b) Use r = n²ħ²/(e²km) to calculate numerical values for the radii of the first four allowed electron 'orbits' in hydrogen, in units of m. The radius of the 'orbit' closest to the nucleus is called the Bohr radius and is given the symbol ao. (You should notice that each radius is a multiple of the Bohr radius, ie. when n = 1 then r = ao, if n = 2 then r = 2² ao, at n = 3 then r = 9 ao, etc.) c) Summarize your numerical results in the following table; Quantum number n Radius of electron's 'orbit' (m) Electron Energy (J) Electron Energy (eV)

a) Calculate the numerical values of the energies of the first four energy levels in hydrogen in units of both joules (J) and in electron-volts (eV). The first four energy levels are found substituting n = 1, 2, 3, 4 into the equation you found in section (f) above. Show all work. b) Use r = n²ħ²/(e²km) to calculate numerical values for the radii of the first four allowed electron 'orbits' in hydrogen, in units of m. The radius of the 'orbit' closest to the nucleus is called the Bohr radius and is given the symbol ao. (You should notice that each radius is a multiple of the Bohr radius, ie. when n = 1 then r = ao, if n = 2 then r = 2² ao, at n = 3 then r = 9 ao, etc.) c) Summarize your numerical results in the following table; Quantum number n Radius of electron's 'orbit' (m) Electron Energy (J) Electron Energy (eV)

Chemistry: Principles and Practice

3rd Edition

ISBN:9780534420123

Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer

Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer

Chapter5: Thermochemistry

Section: Chapter Questions

Problem 5.26QE

See similar textbooks

Similar questions

For charges of +2 and −2, separated by adistance of d, the electrostatic potential energy is E. In terms of E, determine the electrostaticpotential energy between each of the pairs of charges shown.
(a) What is the electrostatic potential energy (in joules) betweenan electron and a proton that are separated by 53 pm?
Enrico Fermi (1901–1954) was a famous physicist who liked to pose what are now known as Fermi problems, in which several assumptions are made in order to make a seemingly impossible estimate. Probably the most famous example is the estimate of the number of piano tuners in Chicago using the approximate population of the city and assumptions about how many households have pianos, how often pianos need tuning, and how many hours a given tuner works in a year. Another famous example of a Fermi problem is "Caesar's last breath," which estimates that you, right now, are breathing some of the molecules exhaled by Julius Caesar just before he died. The assumptions made are: 1. The gas molecules from Caesar's last breath are now evenly dispersed in the atmosphere. 2. The atmosphere is 50 km thick, has an average temperature of 15 °C, and an average pressure of 0.20 atm. 3. The radius of the Earth is about 6400 km. 4. The volume of a single human breath is roughly 500 mL. Perform the…
What is the electrostatic potential energy between an electron and a proton that are separated by 53 pm?
Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? What’s the smallest frequency of light that can excite the electron? Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”
Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? What’s the smallest frequency of light that can excite the electron? Briefly explain why. Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”
Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”
The net change in the multistep biochemical process of photosynthesis is that CO₂ and H₂O form glucose (C₆H₁₂O₆)and O₂. Chlorophyll absorbs light in the 600 to 700 nm region.(a) Write a balanced thermochemical equation for formation of1.00 mol of glucose. (b) What is the minimum number of pho-tons with λ=680. nm needed to prepare 1.00 mol of glucose?
The potential energy associated with two charged particles is 34 mJ when they are separated by a distance d. What is the potential energy associated with them (in mJ) when they are separated by 3d?
Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What’s the smallest frequency of light that can excite the electron? Briefly explain why.
e Schoology 8 Calendar | Schoology -> A bcps.schoology.com/common-assessment-delivery/start/3334253476?action=Donresume&submissionld-492882996 BCPS Links 9 Schoology 9 Schoology Which line on Graph 2 accurately shows the relationship between distance and the amount of potential energy stored in this system? Graph 2 A В DISTANCE BETWEEN MAGNETS WITH LIKE POLES FACING O Line A O Line B O Neither line A nor Line B is correct 2 4 7 8 10 11 Next » Sign out POTENTIAL ENERGY
Given the following ræactions and their enthalpies: ΔΗ (k/mol), +436 2H(g) H2(g) 0,(g) - 20(g) +495 H(g) + 02(g) Н.О(g) -242 (a) Devise a way to calculate AH for the reaction H,O(g) → 2H(g) + O(g) (b) From this, estimate the H-O bond energy.