A perfect gas mixture consists of 4 kg of N2 and 6 kg of CO2 at a pressure of 4 bar and a temperature of 25°C. For N2; Cv=0.745 kJ/kg K and Cp=1.041 kJ/kg K. For CO2; Cv=0.653 kJ/kg K and Cp=0.842 kJ/kg. Find Cp, Cv and R of the mixture. If the mixture is heated at constant volume to 500C, find the changes in internal energy of the mixture.

2. A 0.5 m³ tank holds a two-phase liquid-vapor mixture of carbon dioxide (CO₂) at -17 °C. The quality of the mixture is 0.6. For saturated carbon dioxide at −17°C, vƒ= 0.983 × 10¯³ m³/kg and vg = 1.756 × 10-² m³/kg. Determine: (a) the specific volume of the two-phase CO2 as a closed system; (b) determine the total mass of the CO2; (c) determine the mass of saturated liquid and the saturated vapor, respectively; (d) determine the physical volume of the vapor and the physical volume of the liquid, respectively; (e) determine the ratio of the physical volume of the vapor to that of the liquid. This ratio should reflect the fact that the liquid occupies only a very small fraction of the total physical volume of the tank. Show full steps; carry all units.

The wall separating the two compartments is removed and the two gases are allowed to mix. Assuming constant specific heats, find the simplest expression for the mixture temperature written in the form where m3 and T3 are the mass and temperature of the final mixture, respectively

Question No.13: A perfect gas mixture consists of 4 kg of N2 and 6 kg of CO2 at a pressure of 4 bar and a temperature of 25°C. For N2; Cv=0.745 kJ/kg K and Cp=1.041 kJ/kg K. For CO2; Cv=0.653 kJ/kg K and Cp=0.842 kJ/kg. Find Cp, Cv and R of the mixture. If the mixture is heated at constant volume to 500C, find the changes in internal energy, enthalpy and entropy of the mixture.