We want to increase the temperature of the air contained in a closed bottle. The initial temperature and pressure of the air inside the bottle are 300 K and 202,650 Pa absolute, respectively. The volume of the bottle is 0.1 m and it does not change during the heat addition process. Calculate the amount of heat required to increase the temperature of the air inside the bottle to 500 K. Use y=1.4 and C = 717.5 J/(kg. K), R=287 J/(kg. K). Assume there is no work interaction Hints: Calculate the density, and then the mass in the bottle. Calculate the heat required.