The isotherm for benzene, at 25C, on an activated carbon adsorbent is given as: Cas= 30 C 0.45 A where Cas is in units of mg benzene per gram of carbon, and Ca is in units of mg benzene per liter of water-based solution. You want to create your own adsorber packed bed from a piece of piping that has diameter of 25 cm. The activated carbon supplier has given you the following specification sheet and the isotherm information above): . activated carbon mean diameter = 2 mm . activated carbon bulk density = 400 g/L . activated carbon particle density = 520 g/L cost of activated carbon is Php300 per kilogram. You would like a breakthrough time of 3.8 hours when treating a feed stream containing 3.0 g of benzene per liter. You have to treat 30 L per minute of waste water. 1. What type of adsorption isotherm is this? 2. How long should your packed bed be? Be clear with any simplifying assumptions you make. [14] Use the rule of thumb that if you cannot perform a lab experiment to calculate the MTZ, that your MTZ is 4ft, and assuming a symmetric wavefront, that the LUB = 2 + MTZ. 3. What will be the cost of the adsorbent you need to purchase