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- Under what conditions will U be exactly zero for a process whose initial conditions are not thesame as its final conditions?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?Asampleof a monatomic ideal gas doubles itsvolume reversibly and adiabatically. By what percentage does its absolute temperature change?
- What is the finaltemperature of0.122 mole ofmonatomic ideal gas that performs 75J of work adiabatically if the initial temperature is 235C?What arethe differencesbetween an open, a closed, and an isolated system?Describe an example of each.True or false: Althoughwork done bya free expansion is zero for an ideal gas, it is nonzero for a real gas. Explain your answer.
- A sample of an ideal diatomic gas is compressed adiabatically and reversibly to double its initial pressure. By what percentage does its absolute temperature change in a the low-temperature limit and b the high-temperature limit?Determine an expression for V/T p, n in terms of and . Does the sign on the expression make sense in terms of what you know happens to volume as temperature changes?7:53 PM Mon Nov 21 8) A sample of 1 mol of perfect gas at 298 K and 1 bar with Cvm = 3/2 R and Cp.m= 5/2 R is put through the following cycle: (a) constant-volume heating to twice its initial pressure, (b) reversible, adiabatic expansion back to its initial temperature, (c) reversible, isothermal compression back to 1 bar. Calculate q, w, AU, and AH for each step, as well as any necessary variables (e.g. V₁, T, etc.) n=1 mol T= 298 K P= I bar Cum 3R - 2 Cp.m-2R T b) a) w=0 n=1 T= 298 K Cvm = 3R 2 AP= 1 bar 9,² AU= ΔΗ: PV = nRT V = nRT @87% 8
- Prove that P1V1ɣ = P2V2 ɣ for adiabatic reversible events in ideal gases.Calculate the final pressure of a sample of water vapour that expands reversibly and adiabatically from 87.3 Torr and 500 cm3 to a final volume of 3.0 dm3. Take (gamma) γ = 1.3. ANs in t0rr1. Determine the work done in an isothermal, reversible expansion of a real gas obeying the virial equation of state, PV = A + BP + CP².