A turbine in a simple ideal Rankine cycle with water as the working fluid operates with an inlet temperature of 500°C and pressure of 600 kPa and an exit temperature of 45°С. Find the turbine work in MW if the mass flow rate of the steam is at 11 kg/s.

the turbine work in MW is  

Explanation:

Given that:

the inlet temperature = 500°C

pressure = 600 kPa

exit temperature = 45°С

mass flow rate = 11 kg/s

The objective is to find the turbine work  in MW given that the mass flow rate of the steam is at 11 kg/s.

From the steam tables, the data obtained for the enthalpies at the inlet temperature of  500°C and a pressure of  600 kPa is:

The turbine expansion process is also the isentropic process, as such:

Inlet entropy = Exit entropy

The data obtained from the steam table for = 8.003 kJ/kg.K

The data obtained from the steam tables for this entities are as follows:

since   =   = 8.003 kJ/kg.K

Therefore;

From the steam tables, the data obtained for the enthalpies at the exit temperature of  45°C and a pressure of  600 kPa is:

= 188.4

=2394.9

Thus;

kJ/kg

The workdone for the turbine process can be computed as:

kW

To MW, we have