00:01
Hi everyone, so what we have is steam expanding in a turbine steadily.
00:04
We know that there is some work that is outputted, and we also know that there is some heat that is lost.
00:10
So what we're asked to find is the mass flow rate of steam through this turbine, the exit velocity of the steam, and the power output given some certain, given certain parameters.
00:20
So first what we're going to do is go through our assumptions.
00:23
So we know that this is operating at steady state, so conditions will not be changing with time.
00:27
And we're also going to assume that any changes in potential energy, are negligible.
00:33
Next, what we can do is using the states that are given to us, we can determine some parameters.
00:38
So we know the input pressure is 7mpa and input temperature is 600 degrees celsius.
00:45
Using this information, we can use the steam tables to discern that our specific volume at our input is 0 .0557 cubic meters per kilogram, and our incoming enthalpy is equal to 3 ,6505 .5 ,000, and our incoming enthalpy is equal to 0 .6 kilojoules per kilogram.
01:06
Similarly, we can use our exit state that's given to us.
01:09
We know the exit pressure is equal to 25 kpa, and our exit quality is equal to 0 .95.
01:18
Now utilizing those same steam tables, we can discern that our specific volume at our exit is equal to 5 .893, cubic meters per kilogram, and our exiting enthalpy is equal to 2 ,500 kilojoules per kilogram.
01:38
Next, we can solve for our mass flow rate going through the turbine.
01:42
So recall that mass flow rate, mass flow rate is equal to row times velocity times area.
01:48
And row can be rewritten as one over specific volume...