The bending vibration of CO2 has a frequency of 1.95 x 1013 s-1. Calculate the vibrational temperature for this vibration. O 935 K O 1013 K 398 K O 273 K O 562 K
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- A standard sample of Argon gas is 22.4L, 1.00atm, 1.00mol, 273.15K. In the right setups excited gas can be tricked into using heat and giving away photons of light. If the sample gave off 0.01mol of 3,634nm light by converting thermal energy into those photons find the new final temp of the gas. SAr = 0.52J/gKA sample consisting of 1.00 mol Ar is expanded isothermally at 20 °C from 10.0 dm3' to 30.0 dm3'. What is w if the expansion was carried out against a constant external pressure equal to the final pressure of the gas? A. 1.62 kJ B. -1.62 kJ C. 0A sample of argon of mass 6.56 g occupies 18.5 dm3 at 305 K.(i) Calculate the work done when the gas expands isothermally against a constant external pressure of 7.7 kPa until its volume has increased by 2.5 dm3. (ii) Calculate the work that would be done if the same expansion occurred reversibly.
- A sample of Ar of mass 8.30 g occupies 1.75dm3 at 330 K. (a) Calculate the work done when the gas expands isothermally against a constant external pressure of 1 bar until itsvolume has increased by 0.35 dm3 (b) Calculate the work that would be done if thesame expansion occurred reversibly2.8(b) The constant-pressure heat capacity of a sample of a perfect gas was found to vary with temperature according to the expression ??⁄(??−1) = 20.17 + 0.4001(?⁄?) . Calculate Q, W, DU, and DH when the temperature is raised from 0°C to 100°C (a) at constant pressure, (b) at constant volume.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.
- A sample consisting of 1.00 mol Ar is expanded isothermally at 20 °C from 10.0 dm3' to 30.0 dm3'. What is w if the expansion was carried out freely (against zero external pressure)? A. 2.68 kJ B. -1.62 kJ C. OCalculate the work done by a gas when it expands through (a) 1.0 cm3, (b) 1.0 dm3 against an atmospheric pressure of 100 kPa . What work must be done to compress the gas back to original state in each case?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 force constant for HF is 966 N m-1. Using the harmonic oscillator model, calculate the relative population of the first excited state and the ground state at 300 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.Given:C2H2(g) ⇌ 2C(graphite) + H2(g) ΔG° = -209 kJA sample of gaseous C2H2 (acetylene, or ethyne) was stored for one year, yet at the end of this period the sample remained unchanged and no graphite or hydrogen gas had been formed. Briefly explain why there is no inconsistency between the sign of ΔG° and the apparent stability of the sample.