Problem $2(10$ points$)-$ Ideal gas closed system entropy analysis

The figure below shows a thermally insulated box that is initially divided into halves by a frictionless, thermally conducting piston with a very low specific heat. On one side of the piston is $\backslash (1\mathrm{.}0\backslash$mathrm$\{$~m$\}^\{3\}\backslash )$ of air at $\backslash (400\backslash$mathrm$\{$~K$\},3\backslash$mathrm$\{$bar$\}\backslash ).$ On the other side is $\backslash (1\mathrm{.}0\backslash$mathrm$\{$~m$\}^\{3\}\backslash )$ of air at $\backslash (400\backslash$mathrm$\{$~K$\},1\mathrm{.}5\backslash )$ bar. The piston is released, and equilibrium is attained, with the piston experiencing no change of state. Considering that the air behaves as an ideal gas, please answer the following.

a$.$ Apply suitable thermodynamic principles to determine the final temperature of the air, in K $.$

b$.$ Compute final pressure of the air, in kPa $.$

c$.$ The amount of entropy generated, in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$K$\}\backslash ).$