5 Applying the ideal gas law Anaerobic digesters are commonly used for processing sludge in wastewater treatment facilities. They are generally operated at 35C to optimize the rate of microbial conversion of sludge to methane and carbon dioxide. At a specific facility, the gases produced from this reaction are collected in a 1000m3 gas relief chamber, which requires the gas to reach a pressure of 3 atm before release. (a) Given that the temperature within the gas collection chamber is 35C and that the composition of the gas is 65 percent methane (CH4) and 35 percent carbon dioxide (CO2), what mass (in kg ) of each compound would be held within the container just as the release pressure (3atm) is achieved? (b) If the gas is allowed to cool to 25C before entering the gas relief chamber, compute the new mass of each compound within the chamber prior to release. (c) If the rate of gas production is 400kgd1, what is the characteristic residence time for a gas molecule within a 25C gas relief chamber operating with steady-state gas release