Low-velocity steam (with negligible kinetic energy) enters an adiabatic nozzle at 300 C and 3 MPa. the steam leaves the nozzle at 2 MPa with a velocity of 400 m/s. the mass flow rate is 0.4 kg/s. determine the quality or temperature (C) of the steam leaving the nozzle and the exit area of the nozzle in mm^2.

the quality of the steam = 1.05

the temperature at   =  

the exit area of the nozzle =

Explanation:

Given that:

the inlet temperature of steam =

Inlet pressure of steam

Initial Velocity at the inlet = 0 m/s

Exit pressure of the steam

Exit velocity of steam

Mass flow rate m = 0.4 kg/s

Now, from steam tables at = and

At  

To determine the condition of the steam at exit ;

therefore,

Thus , the quality of the steam = 1.05

However, By using the energy balance equation to determine the temperature of the steam; we have:

From steam tables ; at enthalpy and ; the corresponding temperature

Thus, the temperature at   =  

Finally, to calculate the exit area of the nozzle in mm²

we use the mass flow rate relation:

Making A the subject of the formula; we have:

From the superheated steam tables at pressure ; specific volume

We have:

Thus, the exit area of the nozzle =

and 1and 1

the bal will not change its velocity.