Calculate Pressure Due to Heated Water in Tank

In summary: Rayburn wrote:In summary, the tank will burst when the pressure from the relative expansions of the water and the tank reaches a point where the tank can no longer hold the pressure.
  • #1
Muhad
2
0
Hello guys,

I have problem to calculation pressure due to heated water in a closed tank.
1. Tank with full of water.
2. Tank with half of water.

Does anyone has idea?
Thanks a million.
 
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  • #2
Is this homework? Did you attempt a solution?
 
  • #3
It is part of study that has been carried out
 
  • #4
You didn't provide anywhere close to enough information for us to be able to help you. Heck, other than asking for help, you didn't even ask any questions about the issue you are trying to investigate!
 
  • #5
Welcome to PF.
Muhad said:
I have problem to calculation pressure due to heated water in a closed tank.
1. Tank with full of water.
2. Tank with half of water.
Does anyone has idea?
Can we assume external pressure is atmospheric and that water temperature = tank temperature.
Assume water temperature is liquid and between 0°C and 100°C, or you could have an ice burst or a steam explosion.

Consider case 1.
Assume tank contains no gas bubbles.
What material is the tank made from? Tank expands in three dimensions as it gets hotter. What is expansion coefficient and Young's modulus of tank and of water?
Water in tank expands as it gets hotter. If the water volume expands faster than the tank volume then the water will be compressed and the tank stretched. There will be a pressure in the tank due to those relative expansions and pressures. At some point the tank will burst.

Consider case 2.
Half full of water and half full of what else, air, water vapour or another liquid such as oil?
If other half is a gas then the gas will be compressed or rarefied to make up for the differential expansion of tank and liquid. The solubility of gas in water may be important.

Ullage is not always bad, it is essential to safety. Look up the word ullage.
See also; https://en.wikipedia.org/wiki/Ullage#Industrial_use
 
  • #6
In case 1, I think they want you to assume that the tank volume does not change. You are starting with pure liquid. Are you familiar with the concepts of coefficient of volumetric expansion and bulk modulus?

Chet
 

Related to Calculate Pressure Due to Heated Water in Tank

1. How is pressure calculated for heated water in a tank?

The pressure of heated water in a tank can be calculated using the ideal gas law, which states that pressure is equal to the product of the gas constant, temperature, and molar volume. In this case, the gas constant would be replaced with the specific gas constant for water, and the molar volume would be replaced with the volume of the tank.

2. Does the temperature of the water affect the pressure in the tank?

Yes, the temperature of the water directly affects the pressure in the tank. As the temperature increases, the pressure will also increase, according to the ideal gas law. This is because the molecules in the water have more energy and are moving faster, resulting in more collisions with the walls of the tank.

3. What other factors can affect the pressure of heated water in a tank?

In addition to temperature, the volume and amount of water in the tank can also affect the pressure. A larger volume of water or a greater amount of water will result in a higher pressure, while a smaller volume or amount of water will result in a lower pressure. Additionally, the presence of other gases or substances in the water can also affect the pressure.

4. How does the shape or size of the tank impact the pressure of heated water?

The shape or size of the tank does not directly impact the pressure of heated water. However, the volume of the tank does play a role in determining the pressure, as a larger volume will result in a higher pressure. The shape of the tank may also affect the distribution of pressure within the tank, but it does not change the overall pressure of the water.

5. Is there a maximum pressure that heated water in a tank can reach?

Yes, there is a maximum pressure that heated water in a tank can reach. This is known as the vapor pressure, and it is the point at which the water transitions from liquid to gas. The vapor pressure is dependent on the temperature of the water and can be calculated using the Antoine equation or obtained from a vapor pressure chart.

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