The power of the turbine can be calculated using the formula: power = mass flow rate * change in enthalpy. In this case, the mass flow rate is given as 600 kg/h and the change in enthalpy is the difference between the enthalpy at the inlet and outlet, which is 3000 KJ/kg - 2000 KJ/kg = 1000 KJ/kg.
Therefore, the power of the turbine can be calculated as follows:
Power = 600 kg/h * 1000 KJ/kg = 600,000 KJ/h
Now, if we convert the power from KJ/h to watts (W), we can use the conversion factor 1 W = 3.6 KJ/h:
Power = 600,000 KJ/h * (1 W / 3.6 KJ/h) = 166,667 W
So, the power of the turbine is 166,667 watts.
In summary, the power of the turbine is 166,667 watts. This is calculated by multiplying the mass flow rate by the change in enthalpy. The mass flow rate is given as 600 kg/h and the change in enthalpy is 1000 KJ/kg.