GBE

Accumulation= Input-Output+Generation-Consumption

Settling Tank Problem A settling tank and related streams are shown in Figure 1, below. Dimensions in meters are given in the figure (neglect the rounded tank corners and equipment inside). The width of the tank (into the page) is 2 m. The height of the solid and liquid within the tank is 5 m. A slurry flows into the settling tank at a rate of 0.1 m/min with 30% solids (by volume). Due to the placement of the "Clarified Water Out" stream, the overall volume of solids and liquids within the settling tank must remain constant at 300 m. A small percentage of fine solids are remaining within the settling tank and they are accumulating at a rate of 0.00001 m/min. Assume that the "Clarified Water Out" and "Solids Out" are both pure streams. The tank must be cleaned of solids when the level of solids within the tank reach a height of 0.5 m. What is the total volume of water that can be clarified in between solids cleanings? Slurry In Nolume remains at constant height Settling Tank Clarified Water Out 10 Solids Out 30 For your solution to the Settling Tank Problem, provide Given, Find, Assumptions, Problem Type/Features, Analysis, and Conclusions. Your solution should clearly show the General Balance Equation (GBE) for the settling tank for each of three balances: 1. Total Volume balance; 2. Solids Volume Balance; and 3. Water Volume Balance. Each balance should clearly show each of the relevant steps. The first step should be exactly the same for all three balances (write out the GBE). The second step should eliminate unused (or zero) terms in the GBE. The third step should be the insertion of clear variable names for each term. The fourth step should see the insertion of all numeric values that can be directly calculated from the scenario above. The fifth step should be to solve each balance for any unknown variables. Use the information you calculated from the balances, along with additional information from the scenario to solve for the total volume of water that can be clarified in between solid cleanings