Thermodynamics Computational Problem

An insulated piston moves freely inside an insulated cylinder as shown in the figure above. Compartment A contains 40 g of argon at 30°C and compartment B contains hydrogen at 20°C. Room A is connected to an argon-supplying line through a valve. The valve is opened until the pressure in compartment A reaches 1 Mpa.  The process is slow enough so that the system is in quasi-equilibrium throughout and the gases are considered ideal.

During the process, the volume and the pressure of compartment B are related as follows:

C_p and C_v will be considered constant, equal to their values at standard conditions.

Using the computer language of your choice (MATLAB or Excel recommended), represent the evolution of T_A, T_B, P_A, P_B, m_A and the work done on the gas in compartment B as a function of Z.  Use 100 steps to go from Z_initial to Z_final.  In your volume calculations neglect the thickness of the piston.

Write a report that should as per below:

• The original problem statement
• Detailed description of derivations
• results in the form of graphs
• Discussion of results