Question

A poorly constructed room is suffering from a pipe leakage problem. The leaked pipes are continuously flooding the 90-m2 room such that the water level in the room increases at a steady rate of 1.2 cm/hr (a) How much water in L/min should be pumped out of the room to keep the water level cnstat (b) How much water in L/min should be pumped out of the room to reduce the water level by 4 cm/hr?

Answer 1

Answer:

(a): should be pumped out of the room 18 L/min to keep the water level constant.

(b): should be pumped out of the room 78 L/min to reduce the water level by 4 cm/hr.

Explanation:

S= 90 m²

rate= 1.2 cm/hr = 0.012 m/hr = 0.0002 m/min

Water leak= S*rate= 90 m² * 0.0002 m/min

Water leak= 0.018 m³/min * 1000 L/m³

Water leak= 18 L/min   (a) Water should be pumped out to keep the level constant.

By the rule of 3:

1.2 cm/hr ------------- 18 L/min

(4+1.2) cm/hr --------  x= 78 L/min  (b) Water should be pumped out to reduce the level by 4 cm/hr.