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C. 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?

Part A Determine the total molecular partition function for gaseous H2O at 1000. K confined to a volume of 2.20 cm³ . rotational constants for water are BA = 27.8 cm-1, BB = 14.5 cm-1, and Bc = 9.95 cm-1. The vibrational frequencies are 1615, 3694, and 3802 cm-. The ground electronic state is nondegenerate. (Note: the Avogadro's constant NA The 6.022 x 1023 mol-1). Express your answer to three significant figures. Ην ΑΣφ ? 1.29 • 1029 Itotal = Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining

Step 1 of 7 Give the equation for the Helmholtz energy, A. (Use the following as necessary: S, T, and U.) A = U-TS U-TS Give the equation for entropy that contains the canonical partition function, Q. (Use the following as necessary: E, kB, Q, and T.) E S = kaln(Q)+ E T kB ln (Q) + 4 Step 2 of 7 We only need to consider the translational translational partition function for an ideal monatomic gas, so E = U - Uo. Combine this equation with the equations for S and A from Step 1. (Use the following as necessary: kB, Q, T, U, and Up.) A = -Tk ln(Q) + U₁ U₁ - kBT ln(Q) Step 3 of 7 Substitute the equation from Step 2 into the given equation for P and complete the partial derivative. (Use the following as necessary: KB, Q, T, U, and Up.) P = -(3x), ・ (a In (@)), · KB¹ KBT Step 4 of 7 For an ideal monatomic gas, the following is true. (Use the following as necessary: T, U, and V.) UT 0 Step 5 of 7 Give the equation for the canonical partition function Q. Remember that only the translational…

Calculate the vibrational partition function of HCN at 900 K given the wavenumbers 3311 cm−1 (symmetric stretch), 712 cm−1 (bend; doubly degenerate), 2097 cm−1 (asymmetric stretch).