A  certain vessel X has water and nitrogen gas at a total pressure of 2 atm and 300 K. All the contents of vessel are transferred to another vessel Y having half the capacity of the vessel X. The pressure of  $N_2$  in this vessel was 3.8 atm at 300K. The vessel Y is heated to 320 K. The vessel Y is heated to 320K and the total pressure observed was 4.32 atm. Assume that the volume occupied by the gasses in vessel is equal to the volume of vessel. Calculate the following