the characteristic vibrational temperature for CO is 3103K. Calculate the vibrational contribution to the molar heat capacity of CO(g) at 1400K
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- A 1.00 mol sample of H2 is carefully warmed from 22 K to 40 K at constant volume. a What is the expected heat capacity of the hydrogen? b What is q for the process?What are the numerical values of the heat capacities c-v and c-p of a monatomic ideal gas,in units of cal/mol.K and L.atm/mol.K?Calculate the vibrational, rotational, and translational contributions to the constant volume heat capacity (Cv) for 14N2 at 298 K. Assume this represents the high temperature limit for rotational energy and low temperature limit for vibrational energy. Given that Cv=20.81 J/K·mol for N2, state which type or types of energy contribute most to Cv for N2 and explain why those types of energy contribute most.
- A linear molecule may rotate about two axes. If the molecule consists of N atoms, then there are 3N- 5 vibrational modes. Use the equipartition theorem to estimate the total contribution to the molar internal energy from translation, vibration, and rotation for (a) carbon dioxide, CO2, and (b) dibromoethyne, C2Br2, at 2000 K. In contrast, a nonlinear molecule may rotate about three axes and has 3N- 6 vibrational modes. Estimate the total contribution to the molar in ternal energy from translation, vibration, and rotation for (c) nitrogen dioxide, NO2, and (d) tetrabromoethene, C2Br4,at 2000 K. In each case, first assume that all vibrations are active; then assume that none is.How much energy does it take to raise the temperature of 1.0 mol H2O(g) from 100 °C to 200 °C at constant volume? Consider only translational and rotational contributions to the heat capacity.The contributions to the molar heat capacity of a N2(g) at 273 K are: (A) Cv(translational) < Cv(rotational) < Cv(vibrational) (B) Cv(vibrational) < Cv(rotational) < Cv(translational) (C) Cv(rotational) < Cv(vibrational) < Cp(translational) (D) Cv(rotational) < Cv (translational) < Cv(vibrational)
- 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.The internal energy of a system A None of these В is the sum of the rotational, vibrational, and translational energies of all of its components refers only to the energies of the nuclei of the atoms of the component molecules D is the sum of the kinetic energy of all of its components E) is the sum of the potential and kinetic energies of the componentsA sample of 4.50 g of methane occupies 12.7 dm³ at 310 K. (a) Calculate the work done when the gas expands isothermally against a constant external pressure of 200 Torr until its volume has increased by 3.3 dm³. (b) Calculate the work that would be done if the same expansion occurred reversibly.