Question

If the length dimension of a square filter bed increase to two times (while the rate of filtration remains unchanged), the amount of water filtered would become

• A. 16 times
• B. 4 times
• C. 1 time
• D. 2 times

Answer 1

The correct option is B 4 times

$\text{(a) Assume rate of filtration}=ql/d/m^2$

$\text{Given as a square filter, if length}\left(l\right)\text{dimension}$ $\text{of filter becomes two times, the area will become}$ $(l^{\prime }\times l^{\prime }=2l\times 2l)=4l^2\text{four times.}$

$\text{So, Amount of water filtered =}$ $\text{Rate of filtration}\times \text{Area}$

$q\times 4A=4\times (q\times A)$

$=4\text{times the initial amount of water filtered}$