Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
To display the data given in the table in a graphical form, specifically a solubility curve of sugar in water, follow these steps:
1. Organize the Data:
- First, let's list the data clearly from the table:
- At [tex]\(0^\circ C\)[/tex], 89 grams of sugar are dissolved.
- At [tex]\(30^\circ C\)[/tex], 110 grams of sugar are dissolved.
- At [tex]\(60^\circ C\)[/tex], 14.4 grams of sugar are dissolved.
- At [tex]\(90^\circ C\)[/tex], 208 grams of sugar are dissolved.
2. Create a Cartesian Plane:
- On a graph, the x-axis (horizontal line) will represent the temperature in degrees Celsius [tex]\((^\circ C)\)[/tex].
- The y-axis (vertical line) will represent the amount of sugar dissolved in grams.
3. Mark the Axes:
- Label the x-axis with the temperature values: 0, 30, 60, and 90.
- Label the y-axis with the sugar dissolved values. Choose an appropriate scale to include the range of data: from 0 to a bit higher than 208 grams to comfortably fit all points.
4. Plot the Data Points:
- Plot the point corresponding to [tex]\(0^\circ C\)[/tex] at 89 grams:
- (0, 89)
- Plot the point corresponding to [tex]\(30^\circ C\)[/tex] at 110 grams:
- (30, 110)
- Plot the point corresponding to [tex]\(60^\circ C\)[/tex] at 14.4 grams:
- (60, 14.4)
- Plot the point corresponding to [tex]\(90^\circ C\)[/tex] at 208 grams:
- (90, 208)
5. Draw the Solubility Curve:
- Connect the points smoothly to form the solubility curve. Note the trend of the line as you connect the points.
6. Analyzing the Curve:
- The curve will show an initial increase in the amount of sugar dissolved as the temperature rises from [tex]\(0^\circ C\)[/tex] to [tex]\(30^\circ C\)[/tex].
- At [tex]\(60^\circ C\)[/tex], there is a significant drop in the solubility of sugar.
- From [tex]\(60^\circ C\)[/tex] to [tex]\(90^\circ C\)[/tex], the solubility again increases sharply.
Here's how the plotted curve might look on a graph:
[tex]\[ \begin{array}{|c|c|} \hline \text{Temperature} \, (^\circ C) & \text{Sugar Dissolved} \, (\text{grams}) \\ \hline 0 & 89 \\ \hline 30 & 110 \\ \hline 60 & 14.4 \\ \hline 90 & 208 \\ \hline \end{array} \][/tex]
[tex]\[ \text{Graph:} \][/tex]
y-axis
210 | ................................................+
200 |
180 | |
160 | |
140 | |
120 | |
110 | |
90 | |
70 | |
50 | |
30 | |
14.4| |
0 | ................................................+
0 10 20 30 40 50 60 70 90
x-axis
Hence, this graphical representation of the data shows the solubility curve, which will help visualize the change in sugar solubility with increasing temperature.
1. Organize the Data:
- First, let's list the data clearly from the table:
- At [tex]\(0^\circ C\)[/tex], 89 grams of sugar are dissolved.
- At [tex]\(30^\circ C\)[/tex], 110 grams of sugar are dissolved.
- At [tex]\(60^\circ C\)[/tex], 14.4 grams of sugar are dissolved.
- At [tex]\(90^\circ C\)[/tex], 208 grams of sugar are dissolved.
2. Create a Cartesian Plane:
- On a graph, the x-axis (horizontal line) will represent the temperature in degrees Celsius [tex]\((^\circ C)\)[/tex].
- The y-axis (vertical line) will represent the amount of sugar dissolved in grams.
3. Mark the Axes:
- Label the x-axis with the temperature values: 0, 30, 60, and 90.
- Label the y-axis with the sugar dissolved values. Choose an appropriate scale to include the range of data: from 0 to a bit higher than 208 grams to comfortably fit all points.
4. Plot the Data Points:
- Plot the point corresponding to [tex]\(0^\circ C\)[/tex] at 89 grams:
- (0, 89)
- Plot the point corresponding to [tex]\(30^\circ C\)[/tex] at 110 grams:
- (30, 110)
- Plot the point corresponding to [tex]\(60^\circ C\)[/tex] at 14.4 grams:
- (60, 14.4)
- Plot the point corresponding to [tex]\(90^\circ C\)[/tex] at 208 grams:
- (90, 208)
5. Draw the Solubility Curve:
- Connect the points smoothly to form the solubility curve. Note the trend of the line as you connect the points.
6. Analyzing the Curve:
- The curve will show an initial increase in the amount of sugar dissolved as the temperature rises from [tex]\(0^\circ C\)[/tex] to [tex]\(30^\circ C\)[/tex].
- At [tex]\(60^\circ C\)[/tex], there is a significant drop in the solubility of sugar.
- From [tex]\(60^\circ C\)[/tex] to [tex]\(90^\circ C\)[/tex], the solubility again increases sharply.
Here's how the plotted curve might look on a graph:
[tex]\[ \begin{array}{|c|c|} \hline \text{Temperature} \, (^\circ C) & \text{Sugar Dissolved} \, (\text{grams}) \\ \hline 0 & 89 \\ \hline 30 & 110 \\ \hline 60 & 14.4 \\ \hline 90 & 208 \\ \hline \end{array} \][/tex]
[tex]\[ \text{Graph:} \][/tex]
y-axis
210 | ................................................+
200 |
180 | |
160 | |
140 | |
120 | |
110 | |
90 | |
70 | |
50 | |
30 | |
14.4| |
0 | ................................................+
0 10 20 30 40 50 60 70 90
x-axis
Hence, this graphical representation of the data shows the solubility curve, which will help visualize the change in sugar solubility with increasing temperature.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.