For a specific molecule the ground state is nondegenerate while the first excited state is doubly degenerate. The excited state is removed from the ground state by 380 cm-1. What must the temperature of the system be for i) 25% and ii) 45% of the molecule to be in the first excited state?
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For a specific molecule the ground state is nondegenerate while the first excited state is doubly degenerate. The excited state is removed from the ground state by 380 cm-1. What must the temperature of the system be for
i) 25% and
ii) 45% of the molecule to be in the first excited state?
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- 14.44) The lowest triplet state in naphthalene (C10H8) is about 11,000 cm-1 below then lowest excited singlet electronic level at 77 K. Calculate the ratio of the population in these two states. [Hint: The Boltzmann equation is given by N2/N1 = (g2/g1 exp(-ΔE/kBT), where g1 and g2 are the degeneracies for level 1 and 2.]What fraction of Al atoms are in the excited state for the transition 3s 4p if the transition occurs at 3302Å and the flame temperature is 2080K?Calculate the ratio of the populations in the first two rotational energy levels of carbon monoxide, the lowest J=0 energy level and the higher J = 1 energy level, at 300 K if the energy difference between the levels is 3.8 cm-1and the degeneracies gJ of the two levels are g0 = 1 and g1 = 3, respectively. (You will see in Section 20.3 that there are 2J 1 1 rotational quantum states at each energy level EJ.)
- 1. Properties of gasesDetermine the molecular mass M , specific gas constant R, mass-specific energy e fora gas at 500 Kelvin that consists purely of,(a) Carbon dioxide(b) Methane(c) KryptonYou may assume that the vibrational modes are inactive, but explicitly show wherethis assumption enters into your calculations.The bond in 'H*Cl molecule and Ar2 is characterized by the force constant k 480 Nm-1 and k = 0.160 Nm-1. Assume that the molecule is described by a quan- tum harmonic oscillator. • What are the zero-point energies and the uncertainty in the bond length for these two molecules? • What will be the effect of deuteration (i.e., exchanging 'H with 2H) and the isotopic exchange of 35CI with 37CI on the zero point energy respectively if the force constant remains the same? Based on your result, determine the resolution of the spectrom- eter in cm- respectively in order to see the change by these two isotopic exchange and compare.The force constants for ¹H₂ and 79 Br2 are 575 and 246 N-m¹, respectively. The atomic masses for ¹H₂ and 79Br2 are 1.0078 amu and 78.9183 amu, respectively. ▼ ▼ Part F Calculate the ratio of the vibrational state populations n₁/no for 79Br2 at 1190. K. Express your answer to three significant figures. n₁/no = 0.452 Submit Previous Answers Request Answer ΑΣΦ Part G X Incorrect; Try Again; 5 attempts remaining Calculate the ratio of the vibrational state populations no/no for 79Br2 at 280. K. Express your answer to three significant figures. Submit VE ΑΣΦ n2/mo= 0.9679 PRZ Previous Answers Request Answer ?
- Calculate the proportion of I2 molecules in their basal state, first and second excited state at 25 °C. The wave number is 214.6 cm−1 Hints: Equidistant levels, relation wave numbers and energy y (kT/hc) = 207.226 cm−1 2) At what temperature does the level ν = 1 of I2 have i) half of the population of the basal state, ii) the same population as the basic state? I need to understand and solve the second questionPlease try ur best to calculate and answer the last question in bold.The four lowest electronic levels of a Ti atom are: J = 2, 3, 4 and 1, at 0, 170, 387 and 6557 cm-1, respectively. There a many other electronic states at higher energies. The boiling point of Ti is 3287C. What are the relative populations of these levels at the boiling point if the degeneracy of levels is 2J + 1? Is the ground state most highly populated level?A system consists of three energy levels: a ground level (0 = 0, go = 1); a first excited level (₁ = 2kBT, 91 = 3); and a second excited level (&2 = 8kBT, 92 = 3). Calculate the partition function of the system. .406005 What is the probability for the third energy level? .0024787
- Q 1. Use the equipartition principle to estimate the value of γ = Cpm/CVm for gaseous CH3COOH. Do this calculation WITH the vibrational contribution to the energy.The four lowest electronic levels of a Ti atom are: J = 2, 3, 4 and 1, at 0, 170, 387 and 6557 cm-1, respectively. There a many other electronic states at higher energies. The boiling point of Ti is 3287 oC. What are the relative populations of these levels at the boiling point if the degeneracy of levels is 2J + 1? Is the ground state most highly populated level?(c) When a gas is expanded very rapidly, its temperature can fall to a few degrees Kelvin. At these low temperatures, unusual molecules like ArHCl (Argon weakly bonded to HCl) can form on mixing. For the isotopic species Ar H$CI, the following rotational transitions were observed: J (1 → 2): 6714.44 MHz J (2 → 3): 10068.90 MHz Assume the molecule can be treated as a linear diatomic molecule (ArCl). (i) Calculate the rotational constant (B) and centrifugal distortion (D) constant for this molecule.