**PLEASE READ FIRST: I understand this is a CHEM. Engineering question, BUT, tha
ID: 500137 • Letter: #
Question
**PLEASE READ FIRST: I understand this is a CHEM. Engineering question, BUT, that is not one of the category choices to choose from. Thank you ***
Plate-and-frame filter—M. The following data were obtained for a plate-and-frame filter of total area A = 500 cm2 operating under a constant pressure drop of p = 0.1 atm:
The filtrate is essentially water. The volume of the cake is one-tenth the volume of the filtrate passed. The resistance of the filter medium may be neglected.
(a) Make an appropriate plot and estimate the permeability (darcies) of the cake.
(b) At a certain time t after start-up, the filter is shut down. There follows a cleaning time tc, in which the accumulated cake is removed, the cloth is cleaned, and the filter is reassembled. This cyclical pattern of productive operation, followed by cleaning, etc., is continued indefinitely. If tc = 30 min, what value of t will maximize the average volume of filtrate produced per unit time?
50 75 Volume of filtrate V (liter): 9.7 12.3 14.0Explanation / Answer
Dear Student,
Please find the answer below.
The data have to be arranged in to calculate the rate of change of volume of the filtrate =delta(V)/delta (t)
which will be obtained by taking the differences from the three data sets. When the rate is plotted with pressure difference.
The governing equation for a contact pressure plate and frame filter is: mr[w(V/A) + L]dV = ADPdt
Rearranging this for DP (since Dp is a constant term) we obtain t / (V/A) = [mrw/2DP] x (V/A) + mrL/DP
Now plotting t / (V/A) versus V/A
From the data set
Hence from the slope= 6.811, the permeability
K = (6.811DP /w)= 6.811*0.1/0.1=6.811 darcy
DP= pressure drop
w= fractional contect of the cake in the filtrate
t*60 V V*1000 A (V/A) t/(V/A) 3000 9.7 9700 500 19.4 154.6392 4500 12.3 12300 500 24.6 182.9268 6000 14 14000 500 28 214.2857Related Questions
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