Question

A plate and frame filter press with 12 frames is used to filter slurry at constant pressure. Total filtration area is 65 ft2 and the filter delivers 360 lb of filtrate in 40 mins. If 8 more frames are added to the filter, the other conditions remaining the same, how long would it take to produce 360lb of filtrate? Assume that the initial resistance is negligible.

a. 14.40 min

b. 7.5 min

c. 21.72 min

d. 49.17 min

Answer 1

`t_2 = 14.4 min`

Step-by-step explanation:

Given data:

Number of frame is 12+ 8 = 20

Total filtrate is 360 lb

we know

For 1 plate area
`= (65)/(12) ft^2`

Then for 20 are PLATE
`= 20\tmes (65)/(12) ft^2 = 108.33 ft^2`

filtrate equation is given as

`t(\mu_s*(\alpha v) V^2)/(A^2(-\Delta P))`

In the above equation only t and A is variable , all other terms are constant

Therefore we have

`(t_2)/(t_1)= (A_1)/(A_2) = [(65)/(105.33)]^2 = 0.36`

`t_2 = 0.36* 40 = 14.4 min`

`t_2 = 14.4 min`