Tank 1 (T1) initially contains 100 gallons of pure water. Tank 2 (T2) initially contains 100 gallons of water in which 150 lb of salt are dissolved. The inflow into T1 is 2 gal/min from T2 and 6 gal/min containing 6lb of salt from a seawater inlet (an outside source). The inflow into T2 is 8 gal/min from T1. The outflow from T2 is 2 + 6 = 8 gal/min to a retaining pond outside. The mixtures are kept uniform by stirring. Find and plot the salt contents x1(t) and x2(t) in T1 and T2 using eigenvalues and eigenvectors.

Steam at a pressure of 100 kpa and a quality of 50% initially fills a rigid vessel having a volume of 0.5 m^3. the steam is then heated, causing the pressure in the vessel to rise to 150 kpa. determine: i. the mass of the steam in the vessel. ii. the temperature and quality of the steam after the heating process. ii the mass of the vapour, mg and liquid, m in the vessel after the heating process. if the steam in the vessel is now further heated, what would the pressure and temperature in the vessel be when all steam has turned into saturated vapour? b. sketch the processes in part (a) and part (b) on p-v and t-v diagrams, indicating clearly the temperatures, pressures and the paths. c. (0.59kg, 111.4°c, 73%, 0.4307kg, 0.1 593kg, 2.11 bar, 121.84°c)