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Tim Question 1 1 pts Atte OM The force constant for the bond in an HCl...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wa...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wavefunction labelled by the quantum number v, Where k is a constant related to the bond strength. V.(x), in the Schrödinger Equation, show that the wavefunction Ψ(x) = Noe- )' where α = ( corresponds to the ground vibrational state of H2 having...
The vibrational frequency of a CO molecule is 6.51x10135-1. What frequency of light is needed to...
The vibrational frequency of a CO molecule is 6.51x10135-1. What frequency of light is needed to excite this molecule from the v=0 vibrational state to the v=1 vibrational state, if it is treated as a harmonic oscillator? Report your frequency as a wavenumber, in units of cm-1. Question 4 1 pts The following table lists the frequency of light absorbed by several different molecules in order to excite their vibrational energy. molecule õ(cm-1) HBr 2649 HCI 2991 NO 1904 In...
What is the force constant of the bond (spring constant) of Br2 if the wavenumber of...
What is the force constant of the bond (spring constant) of Br2 if the wavenumber of the fundamental vibrational transition takes the value given? Assume the vibrations of the molecule can be represented by a simple harmonic oscillator in this case. Use mass bromine = 79.904 . Please give your answer in SI units. w = 5.6471 x 10^2 cm-1
thank you in advanced! Set 1: (50 pts) 1. (20 pts) The diatomic iodine anion (1:')...
thank you in advanced!
Set 1: (50 pts) 1. (20 pts) The diatomic iodine anion (1:') has a vibrational frequency of approximately 110 cm Predict the total heat capacity of I, in the gas phase at 300 K. II. (30 pts) The diatomic molecule Co has a vibrational wavenumber of 2170 cm and may be treated as a quantized harmonic oscillator. 1. (10 pts) What is the energy of one photon of light which has the same frequency as CO...
II. (30 pts) The diatomic molecule CO has a vibrational wavenumber of 2170 cm 'and may...
II. (30 pts) The diatomic molecule CO has a vibrational wavenumber of 2170 cm 'and may be treated as a quantized harmonic oscillator. 1. (10 pts) What is the energy of one photon of light which has the same frequency as CO (in J units)? 2. (10 pts) What is the value of the vibrational partition function of CO at 300 K? 3. (10 pts) At what temperature would approximately 5 vibrational quantum states of Co be thermally populated?
Question 3 1 pts The bond length of HCl is 1.2746 Å. The mass of the 1H isotope of hydrogen is 1.007825 g/mol and the m...
Question 3 1 pts The bond length of HCl is 1.2746 Å. The mass of the 1H isotope of hydrogen is 1.007825 g/mol and the mass of the 35Cl isotope of chlorine is 34.968853 g/mol. Use this information to calculate the rotational temperature of 1H35CI, Orot. Express your answer in units of Kelvin.
Problem 15.63 A molecular bond can be modeled as a spring between two atoms that vibrate...
Problem 15.63 A molecular bond can be modeled as a spring between two atoms that vibrate with simple harmonic motion. The figure shows an SHM approximation for the potential energy of an HCI molecule. Because the chlorine atom is so much more massive than the hydrogen atom it is reasonable to assume that the hydrogen atom (m-1.67x10-27kg) vibrates back and forth while the chlorine atom remains at rest. Potential energy U) 4 10-19 З 10-19 2 X 10-19 Part A...
5. Question 2 1 pts Suppose you are investigating the reaction: M(s) + 2 HCl(aq) →...
5.
Question 2 1 pts Suppose you are investigating the reaction: M(s) + 2 HCl(aq) → MCl2(aq) + H2(g). You weigh out a 0.202 gram piece of metal and combine it with 62.2 mL of 1.00 M HCl in a coffee-cup calorimeter. If the molar mass of the metal is 48.51 g/mol, and you measure that the reaction absorbed 111 J of heat, what is the enthalpy of this reaction in kJ per mole of limiting reactant? Enter your answer...
Question 1 1 pts Suppose you are investigating the reaction: M(s) + 2 HCl(aq) → MCl2(aq)...
Question 1 1 pts Suppose you are investigating the reaction: M(s) + 2 HCl(aq) → MCl2(aq) + H2(g). You weigh out a 0.241 gram piece of metal and combine it with 60.4 mL of 1.00 M HCl in a coffee- cup calorimeter. If the molar mass of the metal is 57 g/mol, and you measure that the reaction absorbed 131 J of heat, what is the enthalpy of this reaction in kJ per mole of limiting reactant? Enter your answer...
8. (10 pts) (a) (6 pts) Suppose a system consists of N noninteracting, indistin guishable, identical particles and th...
8. (10 pts) (a) (6 pts) Suppose a system consists of N noninteracting, indistin guishable, identical particles and that each particle has available to it only two quantum electronic states, whose energies are 0 and a. Find expressions for z, Z and U. Note: Because we don 't consider translational energy here, so the 1/N! should be om itted when writing Z in terms of z (b) (4 pts) For NO, the ground electronic level and the first exited electronic...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wavefunction labelled by the quantum number v, Where k is a constant related to the bond strength. V.(x), in the Schrödinger Equation, show that the wavefunction Ψ(x) = Noe- )' where α = ( corresponds to the ground vibrational state of H2 having...
The vibrational frequency of a CO molecule is 6.51x10135-1. What frequency of light is needed to excite this molecule from the v=0 vibrational state to the v=1 vibrational state, if it is treated as a harmonic oscillator? Report your frequency as a wavenumber, in units of cm-1. Question 4 1 pts The following table lists the frequency of light absorbed by several different molecules in order to excite their vibrational energy. molecule õ(cm-1) HBr 2649 HCI 2991 NO 1904 In...
thank you in advanced!
Set 1: (50 pts) 1. (20 pts) The diatomic iodine anion (1:') has a vibrational frequency of approximately 110 cm Predict the total heat capacity of I, in the gas phase at 300 K. II. (30 pts) The diatomic molecule Co has a vibrational wavenumber of 2170 cm and may be treated as a quantized harmonic oscillator. 1. (10 pts) What is the energy of one photon of light which has the same frequency as CO...
II. (30 pts) The diatomic molecule CO has a vibrational wavenumber of 2170 cm 'and may be treated as a quantized harmonic oscillator. 1. (10 pts) What is the energy of one photon of light which has the same frequency as CO (in J units)? 2. (10 pts) What is the value of the vibrational partition function of CO at 300 K? 3. (10 pts) At what temperature would approximately 5 vibrational quantum states of Co be thermally populated?
Question 3 1 pts The bond length of HCl is 1.2746 Å. The mass of the 1H isotope of hydrogen is 1.007825 g/mol and the mass of the 35Cl isotope of chlorine is 34.968853 g/mol. Use this information to calculate the rotational temperature of 1H35CI, Orot. Express your answer in units of Kelvin.
Problem 15.63 A molecular bond can be modeled as a spring between two atoms that vibrate with simple harmonic motion. The figure shows an SHM approximation for the potential energy of an HCI molecule. Because the chlorine atom is so much more massive than the hydrogen atom it is reasonable to assume that the hydrogen atom (m-1.67x10-27kg) vibrates back and forth while the chlorine atom remains at rest. Potential energy U) 4 10-19 З 10-19 2 X 10-19 Part A...
5.
Question 2 1 pts Suppose you are investigating the reaction: M(s) + 2 HCl(aq) → MCl2(aq) + H2(g). You weigh out a 0.202 gram piece of metal and combine it with 62.2 mL of 1.00 M HCl in a coffee-cup calorimeter. If the molar mass of the metal is 48.51 g/mol, and you measure that the reaction absorbed 111 J of heat, what is the enthalpy of this reaction in kJ per mole of limiting reactant? Enter your answer...
Question 1 1 pts Suppose you are investigating the reaction: M(s) + 2 HCl(aq) → MCl2(aq) + H2(g). You weigh out a 0.241 gram piece of metal and combine it with 60.4 mL of 1.00 M HCl in a coffee- cup calorimeter. If the molar mass of the metal is 57 g/mol, and you measure that the reaction absorbed 131 J of heat, what is the enthalpy of this reaction in kJ per mole of limiting reactant? Enter your answer...
8. (10 pts) (a) (6 pts) Suppose a system consists of N noninteracting, indistin guishable, identical particles and that each particle has available to it only two quantum electronic states, whose energies are 0 and a. Find expressions for z, Z and U. Note: Because we don 't consider translational energy here, so the 1/N! should be om itted when writing Z in terms of z (b) (4 pts) For NO, the ground electronic level and the first exited electronic...
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