A) Which vibrational mode is degenerate?
B) Draw all vibrational modes.
C) Calculate the zero point vibration energy of CO2
D) Calculate the energy of the lowest vibrationally excited state
E) Calculate the ratio of the molecules in the lowest vibrationally excited state and the vibrational ground state at temperature of 300K
Homework Answers
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A) Which vibrational mode is degenerate?
B) Draw all vibrational modes.
C) Calculate the zero point...
Calculating a vibrational partition xample 15B.2 Table 15B mbers of the three normal modes of H,O...
Calculating a vibrational partition xample 15B.2 Table 15B mbers of the three normal modes of H,O are 1594.8 cm-1, and 3755.8 cm. Evaluate the vibra function s of H,O area 3656.7 cm anartition function at 1500 K vibra.H 15B.15 for each mode, and then form ethod Use P2.6m for eqn 1 ean Metho duct of the three contributions. At 1500 K, More va the product ofthe Ve draw up the following table displaying the contri- the pa butions of each...
The force constant for the 1H35Cl molecule is 516 N/m. (a) Calculate the vibrational zero-point energy...
The force constant for the 1H35Cl molecule is 516 N/m. (a) Calculate the vibrational zero-point energy of this molecule. (b) If this amount of energy could somehow be converted to translational energy, how fast would the molecule be moving? (a) E = _____________________________ J (b) v = ___________________________ m/s The moment of inertia, I, of this molecule is 2.644 x 10-47kg m2. What are the frequencies of light corresponding to the lowest energy (c) pure vibrational and (d) pure rotational...
Calculate the ratio of HBr molecules in the first excited vibrational state compared to the ground state at 800K. Remember that finding the probability of finding a molecule in a given state, i, is re...
Calculate the ratio of HBr molecules in the first excited vibrational state compared to the ground state at 800K. Remember that finding the probability of finding a molecule in a given state, i, is related to its energy, Ei, by the following equation: P(n) e^(-En/KT) You will need the following information to calculate the energy of the vibrational states: En = hv(n+1/2) for HBr v= 7.944*10^14s^-1 K=1.3807*10^-24J/K h=6.626*10^-34J*s
18-22. In analogy to the characteristic vibrational temperature, we can define a characteristic electronic temperature by...
18-22. In analogy to the characteristic vibrational temperature, we can define a characteristic electronic temperature by @ele, s = where is the energy of the jth excited electronic state relative to the ground state. Show that if we define the ground state to be the zero of energy, then Telee = 8+8, e-Ociec.1/7 +8,e-Pelec.2/T +... The first and second excited electronic states of O(g) lie 158.2 cm-' and 226.5 cm- above the ground electronic state. Given 8, = 5,8, =...
Solve the LAST ONE INCLUDE ALL THE STEPS The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state...
Solve the LAST ONE INCLUDE ALL
THE STEPS
The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited...
any help would be great thanks Calculate the proportion of molecules of iodine (L) in their ground, first and se...
any help would be great thanks
Calculate the proportion of molecules of iodine (L) in their ground, first and second excited vibrational states at 25°C. The vibrational, wavenumber is 214.6 cm Hint E-hc (Ans: Po-0.645, P1-0.229. and P2-0.081) At what temperature would the vw1 level of I have (a) half the population of the ground state, (b) the same population of the ground state? (Ans: (a) 445K (b) infinite) 001439m h 6.6261x10 .5 c* 2.9979x10 m.s k 1.3507 x 10...
SOLVE THE 3RD ONE INCLUDE ALL THE STEPS At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state...
SOLVE THE 3RD ONE INCLUDE ALL
THE STEPS
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a). 1) In the application of quantum mechanical and statistical mechanical principles to samples containing large numbers of species (e.g. macroscopic samples of molecules), there is...
9) in the accompanying phase diapom, . LauD may be present at a) A, B, C...
9) in the accompanying phase diapom, . LauD may be present at a) A, B, C and G b)A, CG and D GC D andE d) A and C only ejA,C. D and 10) The normal boling point of a liquid is al the only temperature at which there carn b) the temperature above which the substance cannot exist as a c) the temperature at which gas d) the temperature at which the vapor be equiliterium between the liquid and...
25) Objects can possess energy as (a) endothermic energy (b) potential energy (c) kinetic energy A) a only B) b...
25) Objects can possess energy as (a) endothermic energy (b) potential energy (c) kinetic energy A) a only B) b only C) c only D) bandc E) a and 33) The value of AH' for the reaction below is - 790 kl. The enthalpy change accompanying the reaction of 0.95 g of Sis_ k 33) 25 (s) + 302 (9) -2503 (9) A) 12 B) 23 C) -23 D) - 790 E) -12 34) The value of AH' for the...
Calculating a vibrational partition xample 15B.2 Table 15B mbers of the three normal modes of H,O are 1594.8 cm-1, and 3755.8 cm. Evaluate the vibra function s of H,O area 3656.7 cm anartition function at 1500 K vibra.H 15B.15 for each mode, and then form ethod Use P2.6m for eqn 1 ean Metho duct of the three contributions. At 1500 K, More va the product ofthe Ve draw up the following table displaying the contri- the pa butions of each...
18-22. In analogy to the characteristic vibrational temperature, we can define a characteristic electronic temperature by @ele, s = where is the energy of the jth excited electronic state relative to the ground state. Show that if we define the ground state to be the zero of energy, then Telee = 8+8, e-Ociec.1/7 +8,e-Pelec.2/T +... The first and second excited electronic states of O(g) lie 158.2 cm-' and 226.5 cm- above the ground electronic state. Given 8, = 5,8, =...
Solve the LAST ONE INCLUDE ALL
THE STEPS
The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited...
any help would be great thanks
Calculate the proportion of molecules of iodine (L) in their ground, first and second excited vibrational states at 25°C. The vibrational, wavenumber is 214.6 cm Hint E-hc (Ans: Po-0.645, P1-0.229. and P2-0.081) At what temperature would the vw1 level of I have (a) half the population of the ground state, (b) the same population of the ground state? (Ans: (a) 445K (b) infinite) 001439m h 6.6261x10 .5 c* 2.9979x10 m.s k 1.3507 x 10...
SOLVE THE 3RD ONE INCLUDE ALL
THE STEPS
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a). 1) In the application of quantum mechanical and statistical mechanical principles to samples containing large numbers of species (e.g. macroscopic samples of molecules), there is...
9) in the accompanying phase diapom, . LauD may be present at a) A, B, C and G b)A, CG and D GC D andE d) A and C only ejA,C. D and 10) The normal boling point of a liquid is al the only temperature at which there carn b) the temperature above which the substance cannot exist as a c) the temperature at which gas d) the temperature at which the vapor be equiliterium between the liquid and...
25) Objects can possess energy as (a) endothermic energy (b) potential energy (c) kinetic energy A) a only B) b only C) c only D) bandc E) a and 33) The value of AH' for the reaction below is - 790 kl. The enthalpy change accompanying the reaction of 0.95 g of Sis_ k 33) 25 (s) + 302 (9) -2503 (9) A) 12 B) 23 C) -23 D) - 790 E) -12 34) The value of AH' for the...
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