$11-14.$ The mixture in Problem $11-1$ is contained in a rigid vessel and is heated to a temperature of $120C$ by transferring heat from a thermal$-$energy reservoir having a temperature of $300C.$ The volume of the vessel is $0\mathrm{.}4m^3,$ and the environment is at $25C$ and $100$ kPa $.$ Determine the amount of heat transfer required and the irreversibility for the process.