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  3. 6 15 points as shown in the sketch below two...

Question: 6 15 points as shown in the sketch below two...

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6. (15 points) As shown in the sketch below, two gases A and B are contained in a piston-cylinder apparatus fitted with a moving, frictionless piston and a moving, frictionless armature that confines the gases to their respective cylinders. In state 1, the initial temperature of the apparatus and all of its contents is Ti 300 K. The mass of each gas is 1 kg (mA-mB-1 kg). The initial pressures of the gases are: PlA 104 N/m2 and PiB 2 x 105 N/m2. The armature is, in effect, two pistons that are perfect thermal conductors connected by a rod that is also a perfect thermal conductor. That is, the armature can be modeled as a diathermal device capable of sustaining a heat transfer of any magnitude with no temperature gradient within it. The cylinder walls are fabricated from a material of low thermal conductivity so that they can be modeled as adiabatic. The heat capacity of the armature is C- 200 J/K. In a process that changes the states of the gases from state 1A and 1B to states 2A and 2B, an external force F is slowly applied by a mechanical matching element to the piston such that the force varies with the displacement of the piston. During this process 1-2, each of the gases passes through a sequence of equilibrium states until the pressure in gas A is P2A -5 x 104 N/m2. The gases can be modeled as ideal gases with the following characteristics Gas A (COJ: RA-189 J/kgK. (с.),-662 J/kg.K Gas B (He): RB 2078 J/kg.K, (c)B-3153 J/kg K Gas B Vacuum Piston MME Gas A Adiabatic cylinder Armature (a) Determine the final equilibrium pressure of gas B, P2B

(b) Detemine the final equilibrium temperature of the two gases (T4-T:8- (c) Calculate the work transfer from the mechanical matching element to the piston.

(d) What are the volume changes in gas A, (Pa·Via-?), and in gas B, (V:a-V1,-?)?

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