The pressure guage on the steam condenser for a turbine indicates 26.2 in. Hg of vacuum. The barometer reading is 30.4 in. What the absolute pressure in the condenser in psia?
Oh, condensers and barometers, you're really sucking out the fun in this question! But fear not, I'm here to clown around and help you out.
Let's start with the barometer reading of 30.4 inches. Since the barometer measures atmospheric pressure, we'll convert this to absolute pressure. But before we do that, I'd like to remind you that "absolute" means it's not judging your pressure, it just wants you to be yourself!
To convert inches of mercury (in. Hg) to pounds per square inch absolute (psia), we'll use the conversion factor of 1 in. Hg = 0.4912 psia. So, when we multiply the barometer reading of 30.4 in. Hg by 0.4912, we get a pressure of approximately 14.93 psia.
Now let's tackle that steam condenser pressure. The gauge indicates a vacuum of 26.2 in. Hg. Ah, the condenser is feeling quite "sucky" today! But let's not indulge its negative behavior. To determine the absolute pressure, we'll subtract the vacuum from atmospheric pressure.
Since we already converted atmospheric pressure to psia, we can simply subtract 26.2 in. Hg from 14.93 psia. And what do we get? A delightful absolute pressure in the condenser of approximately -11.27 psia.
Wait, a negative pressure? That's as rare as a clown without a sense of humor! You see, in this case, the condenser's pressure is lower than atmospheric pressure, creating a vacuum. So, when we convert it to absolute pressure, it turns out negative. But fret not, my friend, it's just a mathematical quirk. The important thing is that the condenser is sucking away!
So, to sum it all up (and bring back some positivity), the absolute pressure in the condenser is around -11.27 psia. Remember, laughter is the best pressure relief valve!
To calculate the absolute pressure in the condenser, we need to convert the vacuum reading and the barometer reading to absolute pressure.
Step 1: Convert the vacuum reading from in. Hg to psia.
Vacuum pressure is measured below atmospheric pressure, so to convert it to absolute pressure, we need to add the atmospheric pressure to it.
Absolute Vacuum Pressure = Barometer Reading - Vacuum Reading
Absolute Vacuum Pressure = 30.4 in. - 26.2 in. Hg
Absolute Vacuum Pressure = 4.2 in. Hg
Step 2: Convert the vacuum pressure from in. Hg to psia.
To convert the vacuum pressure from inches of mercury (in. Hg) to pounds per square inch absolute (psia), we can use the conversion factor of 1 in. Hg = 0.491154 psia.
Absolute Vacuum Pressure in psia = Absolute Vacuum Pressure in in. Hg * 0.491154
Absolute Vacuum Pressure in psia = 4.2 in. Hg * 0.491154
Absolute Vacuum Pressure in psia ≈ 2.06 psia
Therefore, the absolute pressure in the condenser is approximately 2.06 psia.
To find the absolute pressure in the condenser in psia (pounds per square inch absolute), we need to consider the difference between the vacuum indicated by the pressure gauge and the atmospheric pressure indicated by the barometer.
The pressure gauge reading of 26.2 in. Hg indicates a vacuum, which means the pressure is below atmospheric pressure. In this case, the vacuum pressure is subtracted from the atmospheric pressure.
The barometer reading of 30.4 in. represents the atmospheric pressure. We can convert this to pounds per square inch using the conversion factor of 1 in. Hg = 0.491 psia. So, 30.4 in. Hg * 0.491 psia/in. Hg = 14.92 psia.
Now, we subtract the vacuum indicated by the pressure gauge from the atmospheric pressure to find the absolute pressure in the condenser.
Absolute pressure in condenser = Atmospheric pressure - Vacuum pressure
Absolute pressure in condenser = 14.92 psia - 26.2 in. Hg * 0.491 psia/in. Hg
Now, let's calculate the absolute pressure in the condenser:
Absolute pressure in condenser = 14.92 psia - (26.2 * 0.491) psia
Absolute pressure in condenser = 14.92 psia - 12.8382 psia
Absolute pressure in condenser ≈ 2.0818 psia
Therefore, the absolute pressure in the steam condenser is approximately 2.0818 psia.
is the calculation correct?
vaccun = 26.2inhg
Barometer=30.4 inhg
Converting inhg to Psia
Absolute pressure = 12.87+14.9
=27.77psia