The H₂O molecule is an asymmetric rotor with rotational constants 27.877 cm¹¹, 14.512 cm³¹, and 9.285 cm³¹. Calculate the rotational partition function of the molecule at (i) 25 °C, (ii) 100 °C. Hi! Need help with this physical chemistry question. Please explain steps and formulas thanks!

The H₂O molecule is an asymmetric rotor with rotational constants 27.877 cm¹¹, 14.512 cm³¹, and 9.285 cm³¹. Calculate the rotational partition function of the molecule at (i) 25 °C, (ii) 100 °C. Hi! Need help with this physical chemistry question. Please explain steps and formulas thanks!

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

Gg.146.
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
3. Consider a 2 × 2 square lattice of spins interacting via the Ising Hamiltonian in the absence of a magnetic field: H = - ΣSi Sj, (ij) we have set J = 1. (a) Write down all the possible configurations and calculate the energy for each one of them. (b) Calculate the partition function Z, as a function of temperature, by summing over all configurations. (c) Repeat question (3a) and (3b), using periodic boundary condi- tions.
Evaluate the translational partition function for H2 confined to a volume of 191 cm³ at 328 K . (Note: the Avogadro's constant NA 6.022 x 1023 mol-1). Express your answer to three significant figures. Hν ΑΣφ ? qT (H2) = 3.17 • 1026 Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Part B Perform the same calculation for N2 under identical conditions. (Hint: Do you need to reevaluate the full expression for qT ?) Express your answer to three significant figures. ? qT (N2) =
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…
Nitesh
2. Calculate the total molar entropy of HF at 298K. The vibrational frequency is 3960 cm-1 and the rotational constant is 20.6 cm-1.
1. Write down the equation used to account for the variation of molar heat capacity of a material at constant pressure with temperature assuming that the temperature range is significant.
16.55 What are the most probable populations of the first sev- eral vibrational levels of O2(g) at 1000 K? The characteristic vi- brational temperature is 2274 K.
Don't give handwritten answers otherwise I will dislike
Please answer all questions and please provide reasonings for using the certain equations.