Problem#$1($Marks $=20)[$Answer in the space provided, show important calculation steps$]$

The following figure shows a tank fitted with an electric resistor of negligible mass holds $2kg$ of carbon dioxide $(C{O}_2)$ gas, initially at $25C,100$kPa. Over a period of $10$ minutes, electricity is provided to the resistor at a rate of $W_{\text{e}\text{l}\text{e}\text{c}}=0\mathrm{.}14kW.$ During the same period, a heat transfer of magnitude $14kJ$ occurs from the $C{O}_2$ gas to its surroundings. The gas in the tank behaves as an ideal gas. The gas constant is $R=0\mathrm{.}19k\frac{J}{kg.K}$ and specific heat is $C_v=0\mathrm{.}70k\frac{J}{kg*K}$ for