To what height can the pump raise the water if it creates a pressure of 50 kPa?

The pressure and height of the liquid column are related by the basic hydrostatic equation:

p = ρ g H,

where p is the pressure generated by the pump, p = 50 kPa = 50,000 Pa;

ρ is the specific gravity (density) of the liquid, for water ρ = 1000 kg / m3;

g – acceleration of gravity, g = 9.8 m / s2;

H – pump head, m.

Not taking into account the pressure loss due to friction in the pipes, the maximum height of the water rise by the pump is equal to its head N.

Thus:

H = p / (ρ g) = 50,000 / (1000 × 9.8) = 5.10 m.

Answer: H = 5.1 m.