Find the total Energy of 5kg of water flowing with a velocity of 4m/sec under a pressure of 42 bar at a level 20metre above the datum line

Given data :

Weight of water = 5 Kg

Velocity of water = 4 m/sec

Pressure of water = 4.2 bar = 42828.080 Kgf/m² [ w.k.t. 1bar = 10197.1621 Kgf/m² ]

Level of water = 20 m

Total energy of water = Kinetic energy + Gravitational energy + Pressure energy

Now, Kinetic energy per unit Kg of water = ½ mV² × 1/m = ½ V² = ½ (4)² = 8 J

Pressure energy per unit Kg of water = ( pressure × volume ) / mass = pressure / density.

{ Density = mass / volume }

= 42828.080 / 10³ = 42.82 J

Gravitational energy per unit Kg of water = m × g × h × 1/m = g × h = 9.8 × 20 = 196 J

Therefore, Total energy per unit Kg of water = ( 8 + 42.82 + 196 ) J = 246.82 J

Now, Total energy of 5 Kg of water = 5 × 246.82 J = 1234.1 J