An ideal gas is initially located at$30\mathrm{<font><font>0</font></font>}$K and$2$bar. Heat is supplied until its temperature reaches$5\mathrm{<font><font>0</font></font>}\mathrm{<font><font>0</font></font>}$ K$.$Determines the work done by the gas and the amount of heat transferred during this process. Consider that the ideal gas follows the PV equation of state$=$nRT