Water Mass Calculation for Vessel Under Different Conditions

In summary, the task is to use the ideal gas equation PV=mRT to calculate the mass of water in a 0.6 ft^3 vessel under different conditions of pressure and temperature. The temperature for cases a and b is above the saturation temperature, requiring the use of the water gas constant. For cases c, d, e, and f, the terms saturated vapor, saturated liquid, and critical state are important to understand in order to determine the appropriate values for R. Familiarizing oneself with these terms is recommended.
  • #1
xzibition8612
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Homework Statement



Calculate the mass of water contained in a 0.6 ft^3 vessel under the following conditions:

a) 15 psia, 300 F

b) 100 psia, 500 F

c) 20 psia, 210 F

d) 60 psia, saturated vapor

e) 60 psia, saturated liquid

f) at the critical state



Homework Equations



PV=mRT

The Attempt at a Solution



I suppose the ideal gas equation is valid? Can someone explain to me why or why not?
Assuming it's valid, for a,b the temperature is above the saturation (boiling) temperature, so R would be the water gas constant? For c, d, e, and f, I don't know what values to plug in for R. Any help would be appreciated. Thanks.
 
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  • #2
I think you are to determine if the vessel contains watwr as a vapour, as a liquid, or some combination of both for the cases. Water vapour doesn't follow the ideal as law so I suspect you have to use your steam tables.

saturation temperature and saturation pressure go hand in hand, so your comment that for a, b the temperature is above saturation temperature is invalid ( the boiling temperature you are thinking of is valid for atmospheric pressure )

do you know what the terms saturated vapour, saturated liquid and critical state mean - you should familiarize yourself with these terms. ( Use wikepedia if you like, or your textbook should have them defined )
 

1. How do you calculate water mass?

The formula for calculating water mass is density x volume. The density of water is 1 gram per cubic centimeter, and the volume can be measured in cubic centimeters or liters. So, to calculate the mass of water, simply multiply its volume by 1 gram per cubic centimeter.

2. Why is water mass calculation important?

Water mass calculation is important because it allows scientists to accurately measure the amount of water present in a given sample. This information is crucial for a variety of scientific studies, such as understanding the water cycle, monitoring pollution levels, and predicting weather patterns.

3. What tools are needed for water mass calculation?

To calculate water mass, you will need a measuring device, such as a graduated cylinder or beaker, to measure the volume of water. You will also need a scale to measure the mass of the water, as well as the density of water (1 gram per cubic centimeter).

4. How do you measure the density of water?

The density of water is a well-known constant and can be found in reference tables or calculated using the mass and volume of a known amount of water. To measure the density of water, you will need a balance to determine the mass and a graduated cylinder or beaker to measure the volume.

5. Can water mass calculation be used for other liquids?

Yes, the same formula (density x volume) can be used to calculate the mass of any liquid. However, the density of different liquids may vary, so it is important to use the correct density value for the specific liquid being measured.

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