The molar heat capacities at constant volume of Ne and N2 at 298 K are 12.47 J mol-1 K1 and 20.79 J mol-1 K-1 respectively. Give an explanation of these values based on statistical mechanics.
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- Use the equipartition theorem to estimate the constant- volume molar heat capacity of (i) O3, (ii) C2H6, (iii) CO2 in the gas phase at 25 °C.What molar constant-volume heat capacities would you expect under classical conditions for the following gases: (a) Ne, (b) O_2, (c) H_2O, (d) CO_2, and (e) CHCl_3The ground level of Cl is 2P3/2 and a 2P1/2 level lies 881 cm−1 above it. Calculate the electronic contribution to the heat capacity of Cl atoms at (i) 500 K and (ii) 900 K.
- Use the equipartition principle to estimate the values of γ = Cp/CV for gaseous ammonia and methane. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C?Calculate the translational contribution to the standard molar entropy at 298 K of (i) H2O(g), (ii) CO2(g).Use the equipartition theorem to estimate the molar internal energy of (i) I2, (ii) CH4, (iii) C6H6 in the gas phase at 25 °C.
- Use the equipartition principle to estimate the value of γ = Cp/CV for carbon dioxide. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C?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.Discuss the relation between the thermodynamic and statistical definitions of entropy.
- Predict the vibrational contribution to the standard molar entropy of methanoic acid (formic acid, HCOOH) vapour at (i) 298 K, (ii) 500 K. The normal modes occur at wavenumbers 3570, 2943, 1770, 1387, 1229, 1105, 625, 1033, 638 cm−1.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.Calculate the standard molar entropy of N2(g) at 298 K from its rotational constant B =1.9987cm−1 and its vibrational wavenumber =2358cm−1. The thermochemical value is 192.1 J K−1 mol−1. What does this suggest about the solid at T = 0? PLEASE ANSWER ALL OF THE QUESTION, NOT THE FIRST PART!