This is a problem in batch processing of materials using a mixing tank. the mixing tank has inflow and outflow tubes and a stirrer that keeps the concentration uniform at all points in the tank. the tank is initially filled by a volume v of solution, formed by dissolving a given solute in a solvent, with concentration c0(measured in kg/l)? ; the inflow tube carries a solution of different concentration cin than the initial concentration; the volumetric flowrate is qin the outflow flowrate is qout and, due to the well-mixed assumption, the outflow concentration has the same concentration as the instantaneous concentration of the tank. (i) derive the differential equation governing the instantaneous concentration in the tank; (ii) assume the tank volume is 1000 l, the volume initially contains 10 kg of salt, the rate of inflow is 2 l/s, the inflow concentration is 0.005 kg/l and that qin = qout (in other words, the outflow pipe carries away the overflow). calculate and plot the instantaneous concentration of salt c(t); (iii) calculate the time required to produce a solution of concentration 0.008 kg/l.

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step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

answer: at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

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step-by-step explanation: