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What Is the Density of Water? By Temperature and Unit

Posted by Christine Sarikas | Jul 4, 2018 4:00:00 PM

Other High School

 

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What is the density of water? Does it matter what the temperature is? How can you figure out the density of other objects and liquids? In this guide we explain water density, provide a chart you can use to find the density of water at different temperatures, and explain three different ways to calculate density.

 

What Is the Density of Water?

Density is the mass per unit volume of a substance. The density of water is most given as 1 g/cm3, but below is the density of water with different units.

Unit
Water Density
Density of water g/cm3
1 g/cm3
Density of water g/mL
1 g/mL
Density of water kg/m3
1000 kg/m3
Density of water lb/ft3
64.2 lbs/ft3

 

 It’s no coincidence that water has a density of 1. Density is mass divided by volume (ρ=m/v), and water was used as the basis for establishing the metric unit of mass, which means a cubic centimeter (1cm3) of water weighs 1g.

So, 1g/1cm= 1 g/cm3, giving water it’s easy-to-remember density. However, water’s exact density depends on both the air pressure and the temperature of the area. These variations in density are very slight though, so unless you need to know very exact calculations or the experiment takes place in an area with an extreme temperature/pressure, you can continue to use 1 g/cm3 for water density. You can look at the chart in the next section to see how water’s density changes with temperature.

Note that these water density values are only true for pure water. Saltwater (like the oceans) has a different density which depends on how much salt is dissolved in the water. Seawater density is typically slightly higher than the density of pure water, about 1.02g/cm3 to 1.03g/cm3.

 

Water Density at Different Temperatures

Below is a chart that shows the density of water (in grams/cm3) at different temperatures, ranging from below water’s freezing point (-22°F/-30°C) to its boiling point (212°F/100°C).

As you can see in the chart, water only has an exact density of 1 g/cm3 at 39.2°F or 4.0°C. Once you get below water’s freezing point (32°F/0°C), the density of water decreases because ice is less dense than water. This is why ice floats on top of water and, when you put ice cubes in a glass of water, they don’t just sink straight to the bottom.

The chart also shows that, for the range of temperatures typical for indoor science labs (about 50°F/10°C to 70°F/21°C), the density of water is very close to 1 g/cm3, which is why that value is used in all but the most exact density calculations. It’s not until the temperature is very extreme in one direction or another (close to freezing or boiling), that the temperature of water changes enough that 1 g/cm3 would no longer be acceptably accurate.

Temperature (°F/°C)
Density of Water (grams/cm3)
-22°/-30°
0.98385
-4°/-20°
0.99355
14°/-10°
0.99817
32°/0°
0.99987
39.2°/4.0°
1.00000
40°/4.4°
0.99999
50°/10°
0.99975
60°/15.6°
0.99907
70°/21°
0.99802
80°/26.7°
0.99669
90°/32.2°
0.99510
100°/37.8°
0.99318
120°/48.9°
0.98870
140°/60°
0.98338
160°/71.1°
0.97729
180°/82.2°
0.97056
200°/93.3°
0.96333
212°/100°
0.95865

Source: USGS

 

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How to Calculate the Density of a Substance

So know you know what the density of water is at different temperatures, but what if you want to find the density of something that isn't water? It's actually pretty easy to do!

You can find the density of any substance by dividing its mass by its volume. The formula for density is: ρ=m/v, with density represented by the symbol ρ.

There are three main ways to calculate density, depending on whether you’re trying to find the density of a regularly-shaped object, an irregular object, or a liquid, and if you have any special tools like a hydrometer.

 

Calculating the Density of a Regular Object

For regular objects (those whose faces are standard polygons, such as squares, rectangles, triangles, etc.) you can calculate mass and volume fairly easily. The mass of an object is simply how much it weighs, and all regular polygons have an equation for determining their volume based on their length, width, and height.

For example, say you have a rectangular piece of aluminum that weighs 865g and has measurements of 10cm x 8cm x 4cm. First you’d find the volume of the piece of aluminum by multiplying the length, width, and height (which is the equation for volume of a rectangle).

V=10cm x 8cm x 4cm =320 cm3

Next, you divide the mass by the volume to get density (ρ=m/v).

865g/320cm3 = 2.7g/cm3

So the density of aluminum is 2.7g/cm3, and this is true for any piece of (pure and solid) aluminum, no matter what its size is.

 

Calculating the Density of a Liquid or Irregular Object

If the object has an irregular shape and you can't easily calculate its volume, you can find its volume by placing it in a graduated cylinder filled with water and measuring the volume of water it displaces. Archimedes' Principle states that an object displaces a volume of liquid equal to its own volume. Once you have found the volume, you'd use the standard ρ=m/v equation.

So if you had a different, irregular piece of aluminum that weighed 550g and displaced 204mL of water in a graduated cylinder, then your equation would be ρ=550g/204mL=2.7g/mL.

If the substance you’re trying to find the density of is a liquid, you can simply pour the liquid into the graduated cylinder and see what its volume is, then calculate density from there.

 

Calculating the Density of a Liquid With a Hydrometer

If you’re trying to calculate the density of a liquid, you also can do so by using an instrument known as a hydrometer. A hydrometer looks like a thermometer with a large bulb at one end to make it float.

To use one, you simply gently lower the hydrometer into the liquid until the hydrometer is floating on its own. Find which part of the hydrometer is right at the surface of the liquid and read the number on the side of the hydrometer. That’ll be the density. Hydrometers float lower in less dense liquids and higher in more dense liquids.

 

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Summary: What Is the Density of Water?

Water density is typically rounded to 1 g/cm3 or 1000 kg/m3, unless you are doing very exact calculations or conducting an experiment in extreme temperatures. Water’s density changes depending on the temperature, so if you’re doing an experiment close to or past water’s boiling or freezing point, you’ll need to use a different value to take into account the change in density. Both steam and ice are less dense than water.

The equation for density is ρ=m/v.

In order to measure the density of a substance, you can calculate a regularly-shaped object’s volume and proceed from there, measure the volume of a liquid or how much liquid an irregular object displaces in a graduated cylinder, or use a hydrometer to measure the density of a liquid.

 

What's Next?

Want to know the fastest and easiest ways to convert between Fahrenheit and Celsius? We've got you covered! Check out our guide to the best ways to convert Celsius to Fahrenheit (or vice versa). 

Are you studying clouds in your science class? Get help identifying the different types of clouds with our expert guide.

Writing a research paper for school but not sure what to write about? Our guide to research paper topics has over 100 topics in ten categories so you can be sure to find the perfect topic for you. 

 

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Christine Sarikas
About the Author

Christine graduated from Michigan State University with degrees in Environmental Biology and Geography and received her Master's from Duke University. In high school she scored in the 99th percentile on the SAT and was named a National Merit Finalist. She has taught English and biology in several countries.



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