(Solved): 3. Consider the piston cylinder assembly shown below. It is well insulated and initially contains t ...

3. Consider the piston cylinder assembly shown below. It is well insulated and initially contains two $10,000\mathrm{kg}$ blocks at rest on the $0.05{\mathrm{m}}^2$ piston. The initial temperature is $500\mathrm{K}$. The ambient pressure is 10 bar. 2 moles of gas $\mathrm{A}$ are contained in the cylinder. This gas is compressed in a process where another $10,000\mathrm{kg}$ block is added. The following data are available for gas A: a. Ideal gas heat capacity of gas $\mathrm{A}$ at constant pressure: $c_P=20+0.05T$ where $c_P$ is in $[\mathrm{J}/\mathrm{mol}]$ and $\mathrm{T}$ is in $[\mathrm{K}]$. b. Gas A is can be described by the following equation of state: $P=\frac{RT}{v?b}+\frac{aP}{T}$ with constants $a=25\mathrm{K}\text{ and }b=3.2\times 10^{?5}{\mathrm{m}}^3/\mathrm{mol}\text{. }$ Determine the Temperature of gas A after this process. Note: This compression process is not isentropic. What is the entropy change of the universe for this process?