Can someone help me out with my thermodynamics homework please. Please show all work!

Problem 2. A rigid tank contains air as shown in the figure below. The tank is initially divided into two compartments, with a partition separating V1, = 0.20 m of air at 200 kPa, 340 K from a vacuum with Vg = 0.75*Vy,. The partition is then removed and air from the left side fills the entire tank until a final equilibrium state is attained. The air is modeled as an ideal gas and its specific heats are not constant. Changes in potential and kinetic energies are negligible. Consider two Cases: (1) Casel: The rigid tank is insulated. (2) Case 2: The rigid tank is not insulated and after removal of the partition, 39 kJ of heat from outside the tank was added to the air. For each Case, a) Determine the final temperature, in K (if using Ideal Gas Property Tables, just use the nearest value, no need to do linear interpolation) b) Determine the final pressure in kPa. ) Calculate the amount of entropy generated. in kI/K. (If needed, use a boundary temperature of 140C.) TEES ST R e SRR G 1 | | 1 | 1 | : | Air I 1 | | | Air 1 b | P2 T | | mem=020 w ] | 1 | 1 | Va=Vi+ IR | Left side Right side O 1= =020 m? V= 0.75%F; py = 200 kPa (Vacuum) T =340K The COVID-19 pandemic has caused worldwide suffering since 2020. Everyone's life has been disrupted some lives more than others. Dedicated scientists and engineers, however, were able to develop and mass-produce vaccines that have allowed us to get back to our normal lives. But let us not forget what we have lost, however small or large they may be. It may already be 2024. but all of us are still healing and recovering from all that we went through. Now for a thermodynamic problem involving vaccines: The Astra-Zeneca COVID-19 vaccine needs to be stored at temperatures below 8C to avoid losing its effectiveness. A pharmacist is planning to ship 60 vials of the vaccine via courier using a rigid, insulated box. The box will be completely stuffed with styrofoam pieces (\"peanuts) to prevent breakage of the vials during transport. Assume that the mass of air inside the insulated box is negligible, so the box contains only the styrofoam peanuts and vaccines (vial + liquid) The following data arc known: Total mass of styrofoam peanuts in box =ms =170 g Constant-volume specific heat of the styrofoam peanuts = s = 1.3 /(g K) Initial temperature of the styrofoam peanuts = Ts,i=29C Mass of one empty vaccine vial (glass) =mg=9.5g Constant-volume specific heat of empty vaccine vial (glass) = eg= 0.4 J/(g K) Mass of vaceine liquid inside one vial=mrL=2.1 g Constant-volume speeific heat of vaceine liquid inside vial = z.=4.2 Ji(g K) a) What is the allowable maximum initial temperature of the vaccine (in C, retain just one decimal point.) to ensure that they do not lose their effectiveness during transport? Assume vial and vaccine liquid have the same initial temperature and that the box contents go to thermal equilibrium. Briefly explain the strategy you used to solve for this. b) What is the total change in entropy inside the insulated box as its contents go from intial state to a state of thermal equilibrium. in JK? c) Consider a different situation where the initial temperature of the vaccine and vial is known to be 4.0C. What is the minimum number of vaceine vials that can be shipped to ensure that they do not lose their gffectivenes during transport? Assume that all the other data remain the same and that the box contents go to thermal equilibrium