Question 1
**Editorial safety note, which takes priority over the historical instructions:** Work under adult/teacher supervision, protect your eyes, and do not taste any material. Inspect the graduated cylinder for cracks; handle the nail's sharp tip and all glass carefully. Lower objects gently without dropping, forcing or striking them against the cylinder. Stop and ask the teacher if an object will not fit or cannot be handled safely with the supplied equipment. Never collect broken glass by hand. Wipe spills promptly. Keep water, salt solution and oil waste in the separate labelled, covered containers, and give them to the teacher for locally appropriate disposal; do not pour oil down a drain or put loose liquids/broken glass into an ordinary trash bag. The source's trash-bag instruction below is retained for comparison, not as permission for unsafe disposal. Wash hands afterward. The source prints no measured volumes: record your own readings, and do not invent data.
### Experiment 1
### Introduction
Sometime around 250 BC, the Greek mathematician Archimedes was given the task of determining whether a craftsman had defrauded the King Hero I of Syracuse by replacing some of the gold in the King’s crown with silver. Archimedes thought about the problem while relaxing in a bath tub. As he entered the bath tub, he noticed that water spilled over the sides. He realized that the amount of water that spilled was equal in volume to the space that his body occupied. This fact suddenly provided him with a method for differentiating a mixed silver and gold crown from a pure gold crown. Because a measure of silver occupies more space than an equivalent measure of gold, Archimedes placed the craftsman’s crown and a pure gold crown of equivalent mass in two tubs of water. He found that more water spilled over the sides of the tub when the craftsman’s crown was submerged. It turned out that the craftsman had been defrauding the King! Legend has it that Archimedes was so excited about his discovery that he ran naked through the streets of Sicily shouting "Eureka! Eureka!" (the Greek word for "I have found it!").
Archimedes had used the concept of density to expose the fraud. Density is a physical property of matter that expresses a relationship of mass to volume. The more mass an object contains in a given space, the denser it is. In chemistry and physics, density is a key concept in analyzing how substances and materials interact in fluid mechanics, weather, geology, material sciences and engineering. In biology, density is important concept in population ecology as well as vegetation analysis.
So enjoy discovering and experimenting on the materials that are provided for you as you experience working on the density of several solid objects.
### List of Materials
Note: Please check if you have a complete set of materials for the experiment before you start.
1. graduated cylinder — 1 piece (50 mL)
2. different liquids in a bottle — water; salt solution
3. cooking oil — 1 sachet (50 mL)
4. glass marble — 1 piece
5. nut and bolt — 1 pair
6. concrete nail — 1 piece
7. trash bag — 1 piece
8. clean rug — 1 piece
9. plastic container with cover (for liquid disposal) — 3 pieces (water, oil and salt solution)
### Methods
Your primary objective for this experiment is to determine and compare the densities of the solids that are given to you. With the materials listed above at hand, perform your experiment by following the instructions below.
**A. Preparation of the Experimental Design**
1. Plan your experiment by thinking of a design based on the materials provided to you.
2. Write the experimental design in a flow chart form.
3. Draw your design on the box provided then label or describe your drawing opposite your drawing.
[Space for your flow chart, experimental drawing, labels and description: ____________________]
**B. Performing the Experiment**
Perform the experiment that you designed.
Note:
- Please be careful in performing the experiment to avoid breakages of glassware. Broken glassware will not be replaced.
- Dispose your liquids properly. You were provided with separate containers for the liquids and should be placed in the trash bag after the experiment.
**C. Writing your results**
Write your data by completing the tables below:
**1. Density of solids**
Table 1. Density of solids in water.
| Solid | Volume 1 (mL) | Volume 2 (mL) | Displaced Volume (mL) | Mass of Solid (g) | Density of Object (g/mL) |
| --- | --- | --- | --- | --- | --- |
| glass marble | | | | 5.74 | |
| nut and bolt | | | | 24.14 | |
| nail | | | | 6.13 | |
Table 2. Density of solids in salt solution.
| Solid | Volume 1 (mL) | Volume 2 (mL) | Displaced Volume (mL) | Mass of Solid (g) | Density of Object (g/mL) |
| --- | --- | --- | --- | --- | --- |
| glass marble | | | | 5.74 | |
| nut and bolt | | | | 24.14 | |
| nail | | | | 6.13 | |
Table 3. Density of solids in oil.
| Solid | Volume 1 (mL) | Volume 2 (mL) | Displaced Volume (mL) | Mass of Solid (g) | Density of Object (g/mL) |
| --- | --- | --- | --- | --- | --- |
| glass marble | | | | 5.74 | |
| nut and bolt | | | | 24.14 | |
| nail | | | | 6.13 | |
A. Plot a graph of the density of object against the kind of liquid used to measure its density. Use a separate graph for each solid given.
[Three graphs: ____________________]
B. Based on your graphs, does the density of an object differ when measured using different liquids? Explain your answer.
[Answer: ____________________]
C. Based on the experiment, what were the important factors in determining the density of a solid?
[Answer: ____________________]
**2. Determining the mass of the displaced liquid**
Since the density expresses a relationship of mass to volume, the volume of the object can be computed from its mass and density. A relationship between the volume of the solid and that of the displaced liquid can be expressed as:
$$\frac{m_1}{D_1}=\frac{m_2}{D_2}$$
where:
- $m_1$ = mass of the object
- $m_2$ = mass of the displaced liquid
- $D_1$ = density of the object
- $D_2$ = density of the liquid
| Liquid | Displaced Volume (mL) | Mass of Glass Marble (g) | Density of Object (g/mL) | Density of Liquid (g/mL) | Mass of Displaced Liquid (g) |
| --- | --- | --- | --- | --- | --- |
| water | | | | 0.99 | |
| salt solution | | | | 1.07 | |
| oil | | | | 0.89 | |
a. How were you able to determine the mass of the displaced liquid? Write your formula on the blank provided in your answer sheet.
[Formula: ____________________]
b. What is the importance of using the above method in determining the mass of the displaced liquid?
[Answer: ____________________]
**D. Conclusion**
After conducting your experiment, write your conclusion/s on the space provided in your answer sheet.
[Conclusion(s): ____________________]
### Experiment 1
### Introduction
Sometime around 250 BC, the Greek mathematician Archimedes was given the task of determining whether a craftsman had defrauded the King Hero I of Syracuse by replacing some of the gold in the King’s crown with silver. Archimedes thought about the problem while relaxing in a bath tub. As he entered the bath tub, he noticed that water spilled over the sides. He realized that the amount of water that spilled was equal in volume to the space that his body occupied. This fact suddenly provided him with a method for differentiating a mixed silver and gold crown from a pure gold crown. Because a measure of silver occupies more space than an equivalent measure of gold, Archimedes placed the craftsman’s crown and a pure gold crown of equivalent mass in two tubs of water. He found that more water spilled over the sides of the tub when the craftsman’s crown was submerged. It turned out that the craftsman had been defrauding the King! Legend has it that Archimedes was so excited about his discovery that he ran naked through the streets of Sicily shouting "Eureka! Eureka!" (the Greek word for "I have found it!").
Archimedes had used the concept of density to expose the fraud. Density is a physical property of matter that expresses a relationship of mass to volume. The more mass an object contains in a given space, the denser it is. In chemistry and physics, density is a key concept in analyzing how substances and materials interact in fluid mechanics, weather, geology, material sciences and engineering. In biology, density is important concept in population ecology as well as vegetation analysis.
So enjoy discovering and experimenting on the materials that are provided for you as you experience working on the density of several solid objects.
### List of Materials
Note: Please check if you have a complete set of materials for the experiment before you start.
1. graduated cylinder — 1 piece (50 mL)
2. different liquids in a bottle — water; salt solution
3. cooking oil — 1 sachet (50 mL)
4. glass marble — 1 piece
5. nut and bolt — 1 pair
6. concrete nail — 1 piece
7. trash bag — 1 piece
8. clean rug — 1 piece
9. plastic container with cover (for liquid disposal) — 3 pieces (water, oil and salt solution)
### Methods
Your primary objective for this experiment is to determine and compare the densities of the solids that are given to you. With the materials listed above at hand, perform your experiment by following the instructions below.
**A. Preparation of the Experimental Design**
1. Plan your experiment by thinking of a design based on the materials provided to you.
2. Write the experimental design in a flow chart form.
3. Draw your design on the box provided then label or describe your drawing opposite your drawing.
[Space for your flow chart, experimental drawing, labels and description: ____________________]
**B. Performing the Experiment**
Perform the experiment that you designed.
Note:
- Please be careful in performing the experiment to avoid breakages of glassware. Broken glassware will not be replaced.
- Dispose your liquids properly. You were provided with separate containers for the liquids and should be placed in the trash bag after the experiment.
**C. Writing your results**
Write your data by completing the tables below:
**1. Density of solids**
Table 1. Density of solids in water.
| Solid | Volume 1 (mL) | Volume 2 (mL) | Displaced Volume (mL) | Mass of Solid (g) | Density of Object (g/mL) |
| --- | --- | --- | --- | --- | --- |
| glass marble | | | | 5.74 | |
| nut and bolt | | | | 24.14 | |
| nail | | | | 6.13 | |
Table 2. Density of solids in salt solution.
| Solid | Volume 1 (mL) | Volume 2 (mL) | Displaced Volume (mL) | Mass of Solid (g) | Density of Object (g/mL) |
| --- | --- | --- | --- | --- | --- |
| glass marble | | | | 5.74 | |
| nut and bolt | | | | 24.14 | |
| nail | | | | 6.13 | |
Table 3. Density of solids in oil.
| Solid | Volume 1 (mL) | Volume 2 (mL) | Displaced Volume (mL) | Mass of Solid (g) | Density of Object (g/mL) |
| --- | --- | --- | --- | --- | --- |
| glass marble | | | | 5.74 | |
| nut and bolt | | | | 24.14 | |
| nail | | | | 6.13 | |
A. Plot a graph of the density of object against the kind of liquid used to measure its density. Use a separate graph for each solid given.
[Three graphs: ____________________]
B. Based on your graphs, does the density of an object differ when measured using different liquids? Explain your answer.
[Answer: ____________________]
C. Based on the experiment, what were the important factors in determining the density of a solid?
[Answer: ____________________]
**2. Determining the mass of the displaced liquid**
Since the density expresses a relationship of mass to volume, the volume of the object can be computed from its mass and density. A relationship between the volume of the solid and that of the displaced liquid can be expressed as:
$$\frac{m_1}{D_1}=\frac{m_2}{D_2}$$
where:
- $m_1$ = mass of the object
- $m_2$ = mass of the displaced liquid
- $D_1$ = density of the object
- $D_2$ = density of the liquid
| Liquid | Displaced Volume (mL) | Mass of Glass Marble (g) | Density of Object (g/mL) | Density of Liquid (g/mL) | Mass of Displaced Liquid (g) |
| --- | --- | --- | --- | --- | --- |
| water | | | | 0.99 | |
| salt solution | | | | 1.07 | |
| oil | | | | 0.89 | |
a. How were you able to determine the mass of the displaced liquid? Write your formula on the blank provided in your answer sheet.
[Formula: ____________________]
b. What is the importance of using the above method in determining the mass of the displaced liquid?
[Answer: ____________________]
**D. Conclusion**
After conducting your experiment, write your conclusion/s on the space provided in your answer sheet.
[Conclusion(s): ____________________]
