Calculate the minimum value of the energy required for the following systems to exist. (a) A...
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Calculate the minimum value of the energy required for the following systems to exist.
(a) A 100 g ball confined along length within a rectangle of length 5 m. 4 (b) an oxygen atom confined to a 2 ? 10-10 m lattice
Homework Answers
a) minimum energy (E) = h2
2/(2mL2)
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Calculate the minimum value of the energy required for the
following systems to exist.
(a) A...
Question # 1: Find the unit of energy in the energy expression of a free particle...
Question # 1: Find the unit of energy in the energy expression of a free particle in 1-D box: Question # 2: A proton in a box is in a state n = 5 falls to a state n = 4 and loose energy with a wavelength of 2000 nm, what is the length of the box? (answer: 4 x 10 m) Question # 3: a. Consider an electron confined to move in an atom in one dimension over a...
Calculate the minimum possible value of the energy E, and the value of x that gives this minimum E.
Consider a particle with mass \(m\) moving in a potential \(U=k x^{2} / 2,\) as in a mass-spring system. The total energy of the particle is \(E=p^{2} / 2 m+k x^{2} / 2\). Assume that \(p\) and \(x\) are approximately related by the Heisenberg uncertainty principle, so \(p x \approx h .\) (a) Calculate the minimum possible value of the energy \(E,\) and the value of \(x\) that gives this minimum \(E\). This lowest possible energy, which is not zero,...
Consider a deuterium atom (1 electron orbiting one proton and one proton). Calculate the energy required...
Consider a deuterium atom (1 electron orbiting one proton and one proton). Calculate the energy required to excite an electron in the H atom from the first (n = 2) excited state to the third (n = 4) excited state Calculate the wavelength of the corresponding photon required to create this excitation. Is it in the visible, ultraviolet, or infrared portion of the electromagnetic spectrum? Imagine a large single-crystal wafer of silicon (Si), where a Si atom is replaced by...
1) What is the length of a box in which the minimum energy of an electron...
1) What is the length of a box in which the minimum energy of an electron is 1.6×10−18 J ? L= ____________nm 2) A proton is confined within an atomic nucleus of diameter 4.3 fm (1fm=10−15m). Estimate the smallest range of speeds −v0<vp<+v0 you might find for a proton in the nucleus. Express your answer with the appropriate units.
1. Calculate the bond energy of the CI-F bond using the following data: Cl2(g) + F2(g) → 2CIF(g) AH = -108 kJ...
1. Calculate the bond energy of the CI-F bond using the following data: Cl2(g) + F2(g) → 2CIF(g) AH = -108 kJ Bond enthalpies (kJ/mol): CI-CI (239); F-F (159) CI-C1 = 239 F.F : 159 1 2. Find the experimental Lattice energy of aluminum oxide using a Born-Haber cycle using the following information: AH® (aluminum oxide) = -1676 kJ/mol IE, (aluminum) = 577.6 kJ/mol IE, (aluminum) =1816.7 kJ/mol IE(aluminum) = 2744.8 kJ/mol AH® (aluminum atom, g) = 329.7 kJ/mol AHⓇEAI...
2. We have used the Heisenberg Uncertainty Relation to estimate a minimum energy of a confined...
2. We have used the Heisenberg Uncertainty Relation to estimate a minimum energy of a confined particle. For each of the cases below, compare the Heisenberg estimate to the results of the Schroedinger Wave Equation; use the first energy level of the particle in an infinite well. Note that both of the examples below use classical energy relations (after all, the SWE is non- relativistic). a) An electron confined to 1 A (about the size of an atom). b) A...
increasing magnitude of lattice energy KCl, KF, Kl / Question 8 4 pts / A hydrogen...
increasing magnitude of lattice energy KCl, KF, Kl
/ Question 8 4 pts / A hydrogen atom with an electron absorbs light having a frequency of 6.90 x 1014 Hz thus causing the electron to transition to a final energy state of n = 5. Determine the principal quantum number level for the initial state in this electronic transition. UCSLIURE 4 pts What is the velocity (m/s) of a steel ball (7.75 g) with a wavelength of 3.46x 10-24 nm?...
Please explain. 0/4 pts Question 5 Electrons exist in orbitals within an atom. Bohr's model described a single elec...
Please explain.
0/4 pts Question 5 Electrons exist in orbitals within an atom. Bohr's model described a single electron system well. But the energy level for orbitals change when as you add a second and more electron. In a single electron system, there are (a)_orbital(s) at the n-2 level. These n-2 orbital(s) exist at (b) sub-level(s) in the atom. In a multi-electron system, (c)_orbital(s) at the n-2 level. These n-2 orbital(s) exist at (d)sub-level(s) in the atom. Bohr was never...
(4) Thermodynamic data suggests that copper monohalides (CuX) should exist as polymers in the gas...
(4) Thermodynamic data suggests that copper monohalides (CuX) should exist as polymers in the gas phaso However, scientists have successfully synthesized CuX monomers and characterized them using microwave spectroscopy For Cu Br the J-13 14,J-1415 and J-1516 transitions occurred at 84421.34 MHz, 90449.25 MHz and 96476.72 MHz, respectively. Assuming Cu Br behaves as a 3D rigid rotor, answer the following questions. Note: Absorption frequency (in units of Hz) of a rotational transition (aka peak position in a microwave spectrum) corresponding...
2. Find the experimental Lattice energy of aluminum oxide using a Born-Haber cycle using the following...
2. Find the experimental Lattice energy of aluminum oxide using a Born-Haber cycle using the following information: AH (aluminum oxide) = -1676 kJ/mol IE, (aluminum) = 577.6 kJ/mol IE, (aluminum) =1816.7 kJ/mol IE, (aluminum) = 2744.8 kJ/mol AH® (aluminum atom, g) = 329.7 kJ/mol AHⓇEAI (oxygen) = -200.4 kJ/mol AHⓇEAT (oxygen) = 780.0 kJ/mol AH® (oxygen atom, g) = 249.2 kJ/mol Write each of the appropriate balanced chemical equations (with physical state) and assign the appropriate enthalpy to each. Be...
Question # 1: Find the unit of energy in the energy expression of a free particle in 1-D box: Question # 2: A proton in a box is in a state n = 5 falls to a state n = 4 and loose energy with a wavelength of 2000 nm, what is the length of the box? (answer: 4 x 10 m) Question # 3: a. Consider an electron confined to move in an atom in one dimension over a...
Consider a deuterium atom (1 electron orbiting one proton and one proton). Calculate the energy required to excite an electron in the H atom from the first (n = 2) excited state to the third (n = 4) excited state Calculate the wavelength of the corresponding photon required to create this excitation. Is it in the visible, ultraviolet, or infrared portion of the electromagnetic spectrum? Imagine a large single-crystal wafer of silicon (Si), where a Si atom is replaced by...
1. Calculate the bond energy of the CI-F bond using the following data: Cl2(g) + F2(g) → 2CIF(g) AH = -108 kJ Bond enthalpies (kJ/mol): CI-CI (239); F-F (159) CI-C1 = 239 F.F : 159 1 2. Find the experimental Lattice energy of aluminum oxide using a Born-Haber cycle using the following information: AH® (aluminum oxide) = -1676 kJ/mol IE, (aluminum) = 577.6 kJ/mol IE, (aluminum) =1816.7 kJ/mol IE(aluminum) = 2744.8 kJ/mol AH® (aluminum atom, g) = 329.7 kJ/mol AHⓇEAI...
2. We have used the Heisenberg Uncertainty Relation to estimate a minimum energy of a confined particle. For each of the cases below, compare the Heisenberg estimate to the results of the Schroedinger Wave Equation; use the first energy level of the particle in an infinite well. Note that both of the examples below use classical energy relations (after all, the SWE is non- relativistic). a) An electron confined to 1 A (about the size of an atom). b) A...
increasing magnitude of lattice energy KCl, KF, Kl
/ Question 8 4 pts / A hydrogen atom with an electron absorbs light having a frequency of 6.90 x 1014 Hz thus causing the electron to transition to a final energy state of n = 5. Determine the principal quantum number level for the initial state in this electronic transition. UCSLIURE 4 pts What is the velocity (m/s) of a steel ball (7.75 g) with a wavelength of 3.46x 10-24 nm?...
Please explain.
0/4 pts Question 5 Electrons exist in orbitals within an atom. Bohr's model described a single electron system well. But the energy level for orbitals change when as you add a second and more electron. In a single electron system, there are (a)_orbital(s) at the n-2 level. These n-2 orbital(s) exist at (b) sub-level(s) in the atom. In a multi-electron system, (c)_orbital(s) at the n-2 level. These n-2 orbital(s) exist at (d)sub-level(s) in the atom. Bohr was never...
(4) Thermodynamic data suggests that copper monohalides (CuX) should exist as polymers in the gas phaso However, scientists have successfully synthesized CuX monomers and characterized them using microwave spectroscopy For Cu Br the J-13 14,J-1415 and J-1516 transitions occurred at 84421.34 MHz, 90449.25 MHz and 96476.72 MHz, respectively. Assuming Cu Br behaves as a 3D rigid rotor, answer the following questions. Note: Absorption frequency (in units of Hz) of a rotational transition (aka peak position in a microwave spectrum) corresponding...
2. Find the experimental Lattice energy of aluminum oxide using a Born-Haber cycle using the following information: AH (aluminum oxide) = -1676 kJ/mol IE, (aluminum) = 577.6 kJ/mol IE, (aluminum) =1816.7 kJ/mol IE, (aluminum) = 2744.8 kJ/mol AH® (aluminum atom, g) = 329.7 kJ/mol AHⓇEAI (oxygen) = -200.4 kJ/mol AHⓇEAT (oxygen) = 780.0 kJ/mol AH® (oxygen atom, g) = 249.2 kJ/mol Write each of the appropriate balanced chemical equations (with physical state) and assign the appropriate enthalpy to each. Be...
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