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. Hint: Use high-temp limit for non-linear molecule when calculating rotational contribution.
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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. Hint: Use high-temp limit for non-linear molecule when calculating rotational contribution.
Step by step
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- Prove that the adiabatic free expansion of an ideal gas is spontaneous.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?Vibrational contributions to internal energy and heat capacity1) are temperature independent2) are temperature dependent
- 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.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 components
- An NO molecule has a doubly degenerate electronic ground state and a doubly degenerate excited state at 121.1 cm−1. Calculate and plot the electronic contribution to the molar heat capacity of the molecule up to 500 K.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.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 characteristic vibrational temperature for CO is 3103K. Calculate the vibrational contribution to the molar heat capacity of CO(g) at 1400KCalculate the value of Cp at 298K and 1 atm pressure predicted for CH4(g) and C2H4(g) by the classical equipartition theorem. Compare the predicted results with the experimental results (see OGB Appendix D) and calculate the percent of the measured value that arises from vibrational degrees of freedom.The plot below presents the contribution to the molar heat capacity, Cv, as a function of temperature for the vibrational degree of freedom for 3 different diatomic ideal gas molecules. Match the trace on the plot with the correct vibrational spacing. 0.8 B. 06 02 200 400 600 T/K 50 cm-1 ( Choose ) 200 cm-1 [ Choose] 750 cm-1 v [Choose ] Cyvib / R