A chemist measured the volume of carbon dioxide () gas collected during a reaction at three different temperatures over a 10-minute period, recorded in the table below.
| Time (min) | Volume at 20°C (mL) | Volume at 30°C (mL) | Volume at 40°C (mL) |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 2 | 4 | 9 | 18 |
| 4 | 8 | 17 | 31 |
| 6 | 12 | 23 | 38 |
| 8 | 15 | 27 | 40 |
| 10 | 17 | 29 | 40 |
Match each reaction temperature condition with the curve characteristic that best describes its dataset when translated into a line graph of Volume vs. Time.
- 20°C reaction conditionA line displaying a steady, low positive slope throughout the 10 minutes, reaching a final volume of 17 mL without plateauing.
- 30°C reaction conditionA curve with a moderate initial slope that gradually flattens near the end, reaching 29 mL at 10 minutes.
- 40°C reaction conditionA steep initial curve that rapidly levels off and forms a horizontal plateau at 40 mL starting at minute 8.
Answer
The 20°C reaction condition matches the line with a steady, low positive slope reaching 17 mL without plateauing; the 30°C reaction condition matches the curve with a moderate initial slope flattening near 29 mL; and the 40°C reaction condition matches the steep curve reaching a plateau at 40 mL by minute 8.
Each temperature condition in the table exhibits a unique rate of generation over time. The 20°C data shows steady non-zero growth up to 17 mL, the 30°C data demonstrates decelerating growth reaching 29 mL, and the 40°C data displays rapid initial growth that reaches a constant maximum of 40 mL (plateau) at minute 8.
Step-by-Step Solution
Key Concept
Translating tabular data into qualitative line graph characteristics