Question

A water blaster consists of a pump and a petrol water motor. In the pump the pressure of the s from 101.3 kPa to 30 MPa. The outlet temperature is 40°C. Determine the velocity of water at the outlet assuming the inlet velocity is negligible and the system is adiabatic. The specific work into the pump is 0.5 kJ/kg. Calculate the velocity at the outlet.

Answer 1

Answer:246.57 m/s

Step-by-step explanation:

Given data

`inlet pressure\left ( P_1\right )=101.3KPa`

`outlet pressure\left ( P_2\right )=300 MPa`

`Outlet Temperature\left ( T_0\right )=40^(\circ)C`

`Specific Work into the pump=0.5 KJ/kg`

Applying Steady flow energy equation

`h_1+(C_1^2)/(2000)(gz_1)/(1000)+Q=h_2+(C_2^2)/(2000)(gz_2)/(1000)`+W

`C_1=0`

`Z_1&Z_2` is zero

Q=0

`h_1-h_2-W=(C_2^2)/(2000)`

`(C_2^2)/(2000)=\int \\u dP+W`

`(C_2^2)/(2000)`=
`(P_1-P_2)/(1000)-\left ( -0.5\right )`

`(C_2^2)/(2000)`=30.39

`C_2^2=60,797.36`

`C_2=246.57m/s`