In: Mechanical Engineering
An air compressor rapidly fills a 0.3m3 tank (there is no heat transfer through the tank walls), initially containing air at 27 ?C, 1 atm, with air drawn from the atmosphere at 27? ?C, 1 atm. During filling, the relationship between the pressure and specific volume of the air in the tank is pv1.4 = constant. You can model the air as an ideal gas with constant specific heats at 300K.
Calculate (and show your work) the tank’s pressure and temperature, and the
work input to the compressor for the case of m/m1 = 1.5, where m1 is the initial mass in the tank and m is the mass in the tank at any time after filling starts
Plot the pressure, in atm of the air within the tank versus the ratio of m/m1
Plot the temperature, in ?C, of the air within the tank versus the ratio of m/m1
Plot the compressor work input, in Btu, versus m/m1.
For all three graphs, let m/m1 vary from 1 to 3 in increments of 0.1