Question

model 1 – copper samples
group number\tvolume (cm³)\tmass (g)\tsubstance
1\t2.0\t17.92\tcopper
2\t6.0\t50.89\tcopper
3\t10.0\t93.45\tcopper
4\t8.0\t79.30\tcopper
5\t14.0\t125.44\tcopper
6\t4.0\t39.80\tcopper
7\t12.0\t103.85\tcopper
room temperature: 21.7 °c

1. propose a better way to organize the data in model 1, and transcribe the data into the table below.

group number\tvolume (cm³)\tmass (g)\tsubstance

Explanation:

Step1: Identify the goal

We need to organize the data from Model 1 (Copper Samples) in a better way, likely by sorting the Group Number in ascending order (or Volume in ascending order for better organization). Let's sort by Group Number first as it's a common way to organize experimental data by group.

Step2: List the data with sorted Group Number

First, list the Group Number, Volume, Mass, and Substance for each group in order of Group Number from 1 to 7.

Group 1: Volume = 2.0 \( \text{cm}^3 \), Mass = 17.92 g, Substance = Copper

Group 2: Volume = 6.0 \( \text{cm}^3 \), Mass = 50.89 g, Substance = Copper

Group 3: Volume = 10.0 \( \text{cm}^3 \), Mass = 93.45 g, Substance = Copper

Group 4: Volume = 8.0 \( \text{cm}^3 \), Mass = 79.30 g, Substance = Copper

Group 5: Volume = 14.0 \( \text{cm}^3 \), Mass = 125.44 g, Substance = Copper

Group 6: Volume = 4.0 \( \text{cm}^3 \), Mass = 39.80 g, Substance = Copper

Group 7: Volume = 12.0 \( \text{cm}^3 \), Mass = 103.85 g, Substance = Copper

Now, to make it more organized, we can also sort by Volume in ascending order. Let's try that.

Sort Volume values: 2.0, 4.0, 6.0, 8.0, 10.0, 12.0, 14.0

Now map each Volume to its Group Number, Mass, and Substance:

Volume 2.0 \( \text{cm}^3 \): Group 1, Mass 17.92 g, Substance Copper

Volume 4.0 \( \text{cm}^3 \): Group 6, Mass 39.80 g, Substance Copper

Volume 6.0 \( \text{cm}^3 \): Group 2, Mass 50.89 g, Substance Copper

Volume 8.0 \( \text{cm}^3 \): Group 4, Mass 79.30 g, Substance Copper

Volume 10.0 \( \text{cm}^3 \): Group 3, Mass 93.45 g, Substance Copper

Volume 12.0 \( \text{cm}^3 \): Group 7, Mass 103.85 g, Substance Copper

Volume 14.0 \( \text{cm}^3 \): Group 5, Mass 125.44 g, Substance Copper

This sorted by Volume (ascending) is a better way as it shows the relationship between volume and mass more clearly (since density is mass/volume, and for a pure substance like copper, density should be constant, so plotting or analyzing with volume in order helps see the trend).

Step3: Transcribe the data into the new table (sorted by Volume ascending)

Now, fill the new table with the sorted data:

| Group Number | Volume (\( \text{cm}^3 \)) | Mass (g) | Substance |
|--------------|---------------------------|----------|-----------|
| 1 | 2.0 | 17.92 | Copper |
| 6 | 4.0 | 39.80 | Copper |
| 2 | 6.0 | 50.89 | Copper |
| 4 | 8.0 | 79.30 | Copper |
| 3 | 10.0 | 93.45 | Copper |
| 7 | 12.0 | 103.85 | Copper |
| 5 | 14.0 | 125.44 | Copper |

Alternatively, if we sort by Group Number (original order, but that's not as helpful for seeing the volume - mass relationship), the table would be:

| Group Number | Volume (\( \text{cm}^3 \)) | Mass (g) | Substance |
|--------------|---------------------------|----------|-----------|
| 1 | 2.0 | 17.92 | Copper |
| 2 | 6.0 | 50.89 | Copper |
| 3 | 10.0 | 93.45 | Copper |
| 4 | 8.0 | 79.30 | Copper |
| 5 | 14.0 | 125.44 | Copper |
| 6 | 4.0 | 39.80 | Copper |
| 7 | 12.0 | 103.85 | Copper |

But sorting by Volume is better for analyzing the data (since volume is an independent variable here, and mass is dependent on volume for a given substance). So the better - organized table (sorted by Volume in ascending order) is as follows:

Answer:

The better - organized table (sorted by Volume in ascending order) is:

Group Number	Volume (\( \text{cm}^3 \))	Mass (g)	Substance
6	4.0	39.80	Copper
2	6.0	50.89	Copper
4	8.0	79.30	Copper
3	10.0	93.45	Copper
7	12.0	103.85	Copper
5	14.0	125.44	Copper