A perfect gas mixture consists of 4$4$ kg of N2$2$ and 6$6$ kg of CO2$2$ at a pressure of 4$4$ bar and a temperature of 25\$25\backslash$deg C.$.$ For N2$2$; Cv=0.745$=0\mathrm{.}745$ kJ/$/$kg K and Cp=1.041$=1\mathrm{.}041$ kJ/$/$kg K.$.$ For CO2$2$; Cv=0.653$=0\mathrm{.}653$ kJ/$/$kg K and Cp=0.842$=0\mathrm{.}842$ kJ/$/$kg.$.$ Find Cp,$,$ Cv and R of the mixture. If the mixture is heated at constant volume to 500$500$C,$,$ find the changes in internal energy, enthalpy and entropy of the mixture.