How Does Temperature and Pressure Affect Water Density?

In summary, the problem involves finding the total mass and volume of a system consisting of a steel cylinder containing 4.0 L of pressurized water at 25 degrees centigrade and 200 kPa. The water density and mass can be determined using a chart, and the volume of the steel cylinder can be estimated by knowing its height, inner diameter, and outer diameter. After calculating the individual volumes, the combined volume of the system can be determined.
  • #1
dillonmhudson
49
0

Homework Statement


"A steel cylinder of mass 2 kg contains 4.0 L of liquid water at 25 degrees centigrade at 200 kPa. Find the total mass and volume of the system."

Homework Equations


I know that water at 4 degrees centigrade is approximately 1000 kg/m^3. But how about when it is pressurized and at 25 degrees centigrade?


The Attempt at a Solution



I don't know where to start with this one.

Thanks for any help.
 
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  • #2
You typically have a table or chart in your textbook which has the required info.
 
  • #3
The questions are not from the textbook so the tables do not provide the required information.
 
  • #5
Already been there. Didn't find anything.
 
  • #6
Try this chart, you might find a better one elsewhere:

http://www.engineeringtoolbox.com/fluid-density-temperature-pressure-d_309.html

To solve the problem:

What is the water density and, therefore, the water mass ?
Can you now tell the combined mass ?
What do you have to know to estimate the volume of the steel cylinder ?
Can you approximate the steel cylinder height and inner diameter ?
What about the outer diameter ?
What will be the combined volume ?
 
Last edited:

FAQ: How Does Temperature and Pressure Affect Water Density?

What is the density of water?

The density of water is 1 gram per cubic centimeter (g/cm3) at standard temperature and pressure.

How do you calculate the density of water?

The density of water can be calculated by dividing the mass of a given amount of water by its volume. The formula for density is: density = mass/volume.

Why is the density of water important?

The density of water is important because it is a unique property that allows for objects to float or sink in it. This property is crucial for many natural processes and is also utilized in various scientific and industrial applications.

Does the density of water change with temperature?

Yes, the density of water does change with temperature. As water is heated, it expands and becomes less dense. This is why ice, which has a lower density than liquid water, floats on top of it.

How is the density of water measured?

The density of water can be measured using a variety of methods, including a hydrometer, pycnometer, or by simply weighing a given volume of water. These methods all involve determining the mass and volume of the water in order to calculate its density.

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