Question 21 on the morning of the first day of 2014
Thread Content
21. A suspension is filtered using a plate and frame filter under a constant pressure difference. The filter cake is incompressible, and the resistance of the medium can be ignored. If the filtration pressure difference is increased by 50% while the filtration time remains unchanged, what is the percentage increase (%) in its processing capacity compared to before? A. 50.0 B. 41.4 C. 26.3 D. 22.5 Please provide a detailed solution
If the filter cake is incompressible, then s=0, and K is proportional to △P. That is, K2/K1=1.5 ； Ignoring medium resistance, the equation for constant-pressure filtration is q^2=Kt. The filtering time remains unchanged; therefore, (q2/q1)^2 = K2/K1 = 1.5, so q2/q1 = 1.225. That is, production capacity increases by 22.5%. The simplest formula substitution.
q is the amount of filtrate per unit area, not the treatment capacity