Question: please write down all the steps and process on paper so I can read it easily Problem 1: Two tanks, positioned left, tank 1, and
please write down all the steps and process on paper so I can read it easily
Problem 1: Two tanks, positioned left, tank 1, and right, tank 2, are connected by a permeable membrane. The dimensions of the membrane are thickness =0.01cm, area Aa=100cm2. The volumes of the two tanks are V1=V2=V=1000cm3. Both tanks are filled with distilled water to begin with, and the membrane is covered with a non-permeable barrier inside the left tank. Then, 100 grams of sugar is added to the left tank. Both tanks are well-stirred so the sugar concentrations will be unform inside each tank. After the sugar is completely dissolved in the left tank, the barrier is removed, and a timer starts from t= 0 . Sugar molecules diffuse from the left tank to the right tank. Use diffusion coefficient D=5106 cm2/s for the following calculations. Use g/cm3 for the concentrations. The temperatures of the two tanks are the same and remain constant for the entire diffusion process. a) Calculate the concentrations of the two tanks, C1,C2 at t=0 (2 points) b) Calculate the concentrations of the two tanks, C1,C2 at t=. What is the equilibrium concentration Ce ? (2 points) c) What is the concentration in the right tank, C2(t) at t=0,100 and 10000 seconds? (6 points) d) Calculate and plot C2(t) vs. t for t[0,50000] seconds* (5 points) e) Plot ln(1C2(t)/Ce) vs. t for t[0,5000] seconds* (5 points) The components in the schematic are not in proportion to each other. The membrane thickness is magnified to show the concentration gradient. *Set the time vector for plot: Use t0=0,t1=1,t2=1.15t1,t3= 1.15t2,,ti=1.15ti1,
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