How To Find Density Of A Cylinder

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Lesson 3.three

Density of Water

Cardinal Concepts

Just like solids, liquids as well have their own characteristic density.
The volume of a liquid can be measured directly with a graduated cylinder.
The molecules of different liquids have different size and mass.
The mass and size of the molecules in a liquid and how closely they are packed together decide the density of the liquid.
Just like a solid, the density of a liquid equals the mass of the liquid divided past its book; D = g/v.
The density of water is 1 gram per cubic centimeter.
The density of a substance is the same regardless of the size of the sample.

Summary

Students measure out the volume and mass of water to determine its density. Then they mensurate the mass of different volumes of water and detect that the density is e'er the same. Students make a graph of the relationship between the volume and the mass of water.

Objective

Students will exist able to measure out the volume and mass of water and calculate its density. Students will be able to explicate that since any volume of water always has the same density, at a given temperature, that density is a feature property of water.

Evaluation

Download the student activity canvas, and distribute one per student when specified in the activity. The activity canvas will serve as the "Evaluate" component of each v-East lesson plan.

Prophylactic

Brand certain you and your students wearable properly fitting goggles.

Materials for Each Group

Graduated cylinder, 100 ml
Water
Balance that measures in grams (able to mensurate over 100 g)
Dropper

Materials for the Demonstration

Water
Two identical buckets or big containers

Exercise a demonstration to introduce the thought that h2o has density.

Materials
- Water
- Ii identical buckets or large containers
Teacher preparation

Half-fill ane bucket and add together merely about 1 cup of water to the other.

Process
- Select a student to lift both buckets of water.
- Ask the student volunteer which bucket appears to have more mass.
Expected results

The saucepan containing more than water has more mass.

Ask students:

In lessons 3.1—What is Density? and three.two—The Water Deportation Method, yous establish the density of solids, by measuring their mass and book. Do you think a liquid, like water can have a density?

Students should realize that water has volume and mass. Because D=m/5, water must also accept density.

How do you think you can discover the density of a liquid like water?

Students are not expected to be able to fully answer this question at this signal. It is meant equally a lead-in to the investigation. But students may realize that they should somehow find the mass and volume of the h2o offset.

Could both the small and large amounts of water your classmate lifted have the same density?

Students may indicate out that the bucket with more h2o has more mass simply a greater volume. The bucket with less mass has less volume. So it is possible that dissimilar amounts of water could have the same density.

Give each student an action sheet.

Students will record their observations and answer questions well-nigh the activity on the activity sail. The Explain It with Atoms and Molecules and Accept It Further sections of the activity sail will either exist completed as a class, in groups, or individually depending on your instructions. Await at the teacher version of the activity canvass to detect the questions and answers.
Talk over with students how to detect the volume and mass of water.

Tell students that they are going to try to detect the density of water.

Inquire students:

What two things exercise yous need to know in lodge to discover the density of water?

Students should realize that they demand both the volume and mass of a sample of water to find its density.

How can you measure a book of h2o?

Suggest that students employ a graduated cylinder to mensurate volume in milliliters. Remind students that each milliliter equals 1 cm³.

How tin can you lot measure the mass of h2o?

Suggest that students utilise a balance to mensurate the mass in grams. Tell students that they can detect mass past weighing the water. Notwithstanding, since water is a liquid, it needs to be in some sort of container. So in social club to weigh the water, they have to weigh the container, too. Explicate to students that they will take to subtract the mass of an empty graduated cylinder from the mass of the cylinder and h2o to get the mass of simply the water.

Have students observe the mass of unlike volumes of water to show that the density of water does not depend on the size of the sample.

Question to investigate

Do different amounts of water take the same density?

Materials for each grouping

Graduated cylinder, 100 mL
Water
Balance that measures in grams (able to measure over 100 g)
Dropper

Procedure

Find the mass of an empty graduated cylinder. Tape the mass in grams in the chart on the action canvass.
Pour 100 mL of water into the graduated cylinder. Try to exist as accurate as possible by checking that the meniscus is right at the 100-mL mark. Use a dropper to add or remove small amounts of water.
Weigh the graduated cylinder with the water in it. Tape the mass in grams.
Find the mass of just the water past subtracting the mass of the empty graduated cylinder. Tape the mass of 100 mL of water in the chart.
Utilise the mass and volume of the h2o to calculate density. Record the density in g/cm³ in the chart.
Pour off water until y'all have l mL of water in the graduated cylinder. If you accidentally pour out a little too much, add water until y'all become equally close every bit you can to 50 mL.
Find the mass of 50 mL of water. Record the mass in the activity sheet. Calculate and record the density.
Next, cascade off water until you accept 25 mL of h2o in the graduated cylinder. Find the mass of 25 mL of water and record it in the chart. Calculate and tape the density.

Table i. Finding the density of different volumes of water.
Volume of water	100 mililiters	50 mililiters	25 mililiters
Mass of graduated cylinder + water (g)
Mass of empty graduated cylinder (chiliad)
Mass of water (thousand)
Density of water (g/cmⁱⁱⁱ)

Expected results

The density of water should be close to one thousand/cm³. This is truthful for 100, 50, or 25 mL.

Ask students:

Look at your values for density in your nautical chart. Does the density of the different volumes of water seem to be about the same?: Help students see that nearly of the different values for density are near 1 k/cm³. They may wonder why their values are not all exactly 1 g/cm³. 1 reason could be inaccuracies in measuring. Another reason is that the density of water changes with temperature. Water is most dumbo at 4 °C and at that temperature has a density of 1 g/cm³. At room temperature, around twenty–25 °C, the density is well-nigh 0.99 g/cm³.
What is the density of water in one thousand/cm3?: Students answers volition vary, but their values should mostly exist around 1 grand/cm^three.

Have students graph their results.

Help students make a graph of the data on their activity canvass. The 10-axis should be volume and the y-axis should be mass.

When students plot their data, there should be a straight line showing that as volume increases, mass increases by the same amount.
Discuss student observations, data, and graphs.

Ask students:

Use your graph to find the mass of twoscore mL of water. What is the density of this volume of water?

The mass of forty mL of water is twoscore grams. Since D = m/v and mL = cm³, the density of water is 1 g/cmⁱⁱⁱ.

Choose a book between ane and 100 mL. Utilize your graph to observe the mass. What is the density of this volume of water?

Whether students weigh 100, l, 25 mL or whatsoever other amount, the density of water will ever be 1 thousand/cm³.

Tell students that density is a characteristic holding of a substance. This ways that the density of a substance is the same regardless of the size of the sample.

Ask students:

Is density a characteristic property of water? How do yous know?

Density is a characteristic belongings of water because the density of any sample of water (at the same temperature) is e'er the same. The density is 1 g/cm³.
Explain why the density of any size sample of water is e'er the aforementioned.

Projection the image Density of Water.

Water molecules all have the aforementioned mass and size. H2o molecules are as well packed pretty close together. They are packed the same way throughout an entire sample of h2o. Then, if a book of h2o has a sure mass, twice the volume will have twice the mass, 3 times the book has three times the mass, etc. No matter what size sample of water you measure, the relationship between the mass and volume will always be the aforementioned. Because D=m/v, the density is the same for any amount of h2o.

Project the blitheness Liquid Water.

Water molecules are always moving. But on the boilerplate they are packed the same throughout. Therefore, the ratio between the mass and book is the same, making the density the same. This is true no matter the size of the sample or where yous select your sample from.
Accept students consider whether the density of a large slice of a solid substance is the aforementioned every bit the density of a smaller piece.

Requite students time to calculate the density of each of the three samples drawn on their action canvas and reply the related questions.

Ask students:
The density of a liquid is the same no matter what the size of the sample. Could this exist truthful for solids, also? Calculate the density of each of the three samples to find out.

Yes. The density of a solid substance is the same no affair how large or modest the sample.

Sample A has a mass of 200 g. What is the density of Sample A?
- D = m/v
- D = 200g/100cm^three
- D = 2 g/cm³
If you cut Sample A in one-half and looked at merely 1 half, you would have Sample B. What is the density of Sample B?

If students do not know what the mass is, tell them that it is one-half the mass of Sample A. Because Sample A was 200 g, Sample B is one one-half the volume and therefore one one-half the mass (100 1000).
- D = m/v
- D = 100g/50 cm³
- D = two g/cm³
If you cut Sample B in half yous would take Sample C. What is the density of Sample C?
- D = m/v
- D = 50g/25 cm³
- D = 2 g/cm^three