How Does Cooling Affect Pressure in a Sealed Water Container?

In summary, to calculate the final pressure after cooling the container of 1kg water from 2MPa to 40C, you can use steam table properties and assume that the specific volume of the water in the initial state is the same as the average specific volume of liquid water and water vapor in the final state. The final pressure can then be determined by the saturated system.
  • #1
physea
211
3

Homework Statement


1kg of water fills 151.1L of rigid container at pressure 2MPa. Then the container is cooled to 40C. What is the final pressure?

Homework Equations


Steam table properties.

The Attempt at a Solution


How can we know the pressure?
I think it is wrong to assume that the specific volume at 40C is the same with the specific volume at 2MPa. Any hint?
 
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  • #2
physea said:

Homework Statement


1kg of water fills 151.1L of rigid container at pressure 2MPa. Then the container is cooled to 40C. What is the final pressure?

Homework Equations


Steam table properties.

The Attempt at a Solution


How can we know the pressure?
I think it is wrong to assume that the specific volume at 40C is the same with the specific volume at 2MPa. Any hint?
What is the specific volume of the water in the initial state? Here's a hint: In the final state, you will have a combination of liquid water and water vapor, having the same average specific volume as in the initial state. The final pressure should be easy to get, because the system will be saturated.
 

Related to How Does Cooling Affect Pressure in a Sealed Water Container?

1. What are some important water properties that can be calculated?

Some important water properties that can be calculated include density, specific heat capacity, surface tension, and viscosity. These properties are important in understanding the behavior and characteristics of water.

2. How is density of water calculated?

The density of water can be calculated by dividing the mass of water by its volume. The standard density of water at 4 degrees Celsius is 1 gram per cubic centimeter (g/cm3).

3. What is the specific heat capacity of water?

The specific heat capacity of water is the amount of heat energy required to raise the temperature of one gram of water by one degree Celsius. The specific heat capacity of water is 4.186 joules per gram per degree Celsius (J/g·°C).

4. Why is surface tension an important property of water?

Surface tension is an important property of water because it allows insects and other small organisms to float on water and prevents water from spilling out of a cup. It also plays a role in the absorption and transportation of nutrients in plants.

5. How is viscosity of water calculated?

The viscosity of water can be calculated by dividing the force of gravity by the rate of flow of water. It is often expressed in units of poise (P), where 1 P = 0.1 Pa·s (pascal seconds).

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