A flow control valve with a linear plug gives a minimum flow

A flow control valve with a linear plug gives a minimum flow rate of 0 and a maximum flow rate of 10 m^3/s. It has a stem displacement at full travel of 20 mm and so the flow rate when the stem displacement is 5 mm is: 0 m^3/s 2.5 m^3/s 5.0 m^3/s 7.5 m^3/s

Solution

it is a linear plug it follows the relation of linear equation.

for 20mm it has 10m^3/s

for 1mm it has 10/20=1/2=0.5 m^3/s

for 5 mm it has 5*0.5 m^3/s =2.5 m^3/s