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For the circuit shown in the figure, assume that switches S1 and S2 have been held closed for a long time prior to t=0.S2 then opens at t=0; however, S1 does not open until t=96 s. Also assume R1=5Ω, R2=4Ω,R3=3Ω,R4=6Ω, and C1=C2=4 F. a. Find the capacitor voltage vC at t=0. b. Find the time constant for 0<t<96 s. c. Find vC for 0<t<96 s. d. Find the time constant for t>96 s. e. Use part c to find the capacitor voltage vC at t=96 s, and use it to find vC for t>96 s f. Sketch vC for all time.
Initially, 46.0 g oxygen is at a pressure of 1.00 atm and a temperature of 400 K. It expands adiabatically and reversibly until the pressure is reduced to 0.60 atm, and it is then compressed isothermally and reversibly until the volume returns to its origina l value . Calculate the final pressure and temperature of the oxygen, the work done and heat added to the oxygen in chis process, and the energy change ΔU. Take cp(O2) = 29.4 J K^-1 mol^-1.