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- What arethe differencesbetween an open, a closed, and an isolated system?Describe an example of each.Differentiate between state and nonstate thermodynamic systems using suitable examples.2- Starting from H = U +pV and G = H– TS, prove that maximum useful work dwe,max= dG 3- Starting from H = U + pV and G = H– TS, prove that Əv se dp. ƏT
- 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.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?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
- Which of (i) volume, (ii) heat, (iii) internal energy, (iv) density are state functions?Calculate AS (for the system) when the state of 2.00 mol diatomic perfect gas molecules, for which Cp,m = (7/2)R, is changed from 25 C and 1.50 atm to 135 C and 7.00 atm.The cohesive energy density, U, is defined as U/V, where U is the mean potential energy of attraction within the sample and V its volume. Show that U = 1/2N2∫V(R)dτ where N is the number density of the molecules and V(R) is their attractive potential energy and where the integration ranges from d to infinity and over all angles. Go on to show that the cohesive energy density of a uniform distribution of molecules that interact by a van der Waals attraction of the form −C6/R6 is equal to −(2π/3)(NA2/d3M2)ρ2C6, where ρ is the mass density of the solid sample and M is the molar mass of the molecules.
- Use the molar constant volume heat capacities for gases given in Topic 4C (as multiples for R) to estimate the change in reaction enthalpy of N2 (g) + 3 H2 (g) ---> 2 NH3 (g) when the temperture is increased from 300. K to 500. K. Ignore the vibrational contributions to heat capacity. Is the reaction more or less exothermic at the higher temperature? Atoms Linear Molecules Nonlinear Molecules Cv,m 3/2 R 5/2 R 3 R Cp,m 5/2 R 7/2 R 4 RCalculate 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.7:53 PM Mon Nov 21 < TOA 5.) A sample of 2.00 mol of a perfect gas is initially at a pressure of 111 kPa and temperature of 277 K. The sample is heated reversibly to 356 K at a constant volume. The constant volume molar heat capacity is 2.5R. Calculate the final pressure, AU, q, and w. n= 2.00 mol AT= 356 K-277 K= 79 K P= 111 kPa 1.11x 10³ Pa Cp.m= 2.5R = 2.5.8.314 / mcl.k= 20.79 J/mol K F w=0 AU= q Reversible pressure inside is same as pressure outside = m CSAT @87% q= 4 8