Arigid container of 1 m3 contains air whose density is 1.18 kg / m3 and t = 25 ° c (constant). the container is connected to a high pressure supply tube, by means of a valve. the valve opens and air is allowed to enter the vessel at a constant rate (0.5 kg / min) until the air density in the vessel increases to 7.20 kg / m3. the container has a crack through which air escapes following a function of pressure s (kg / min) = 0.011 (p-1); with p (atm).
1) note that the output was already established as s. 2) it replaces the pressure as a function of the total mass of air from the ideal gas. 3) the resulting integral involves a logarithm with several terms.
a) determine the time, in minutes, that the process took. the molar mass of the air is m = 28.84 g / mol.
b) how many kg of air were fed to the tank?
c) how many kg of air escaped from the tank?