$6.(10$ points$)$ A rigid, well$-$insulated tank with a volume of $\backslash (0\mathrm{.}25\backslash$mathrm$\{$~m$\}^\{3\}\backslash )$ contains nitrogen $\backslash (\backslash$left$(\backslash$mathrm$\{$N$\}\_\{2\}\backslash$right$)\backslash )$ at a pressure of $3\mathrm{.}25$ bar and a temperature of $370$ K $.$ The nitrogen is stirred by a paddle wheel, resulting in an energy transfer to the gas of magnitude $7200$ J $.$ Assuming an ideal gas, determine the final temperature and pressure of the gas $($Hint: you will need to find the number of moles of the system$).$