5. Gather data: Click Reset. A useful way to compare reaction rates is to record the time required for half of the reactants to react, called the half-life of the reaction. With the Temperature set to 175 °C, click Play. Record the half-life time in the first space of the table below.

Question

5. Gather data: Click Reset. A useful way to compare reaction rates is to record the time required for half of the reactants to react, called the half-life of the reaction. With the Temperature set to 175 °C, click Play.  Record the half-life time in the first space of the table below.

|Trial |   175 °C   |  145 °C  | 100 °C |  65 °C  |
|        |                   |              |             |              |
|   1   |                   |              |             |               |
|       |                    |              |             |               |
|  2   |                    |              |             |               |

\Mean half-life Show all work \              |                  |                 |

Repeat the experiment at different temperatures to complete the table. (Note: To get exact times, you can refer to the TABLE tab.)

6. Calculate: Calculate the mean half-life for each temperature. Fill in these values above.

(Hint: To get an exact mean, first convert each time to seconds by multiplying the minutes value by 60 and adding this to the seconds. To find the mean in seconds, add up the two times and divide by two. Convert the answer back to minutes and seconds.)

7. Analyze: What do your results indicate?

GPT-4o mini · Answer

Certainly! To complete the table and perform the calculations, you'll follow these steps:

Table Entries

Conduct the reaction at 175 °C and record the half-life time for each trial.
Repeat this for the other temperatures: 145 °C, 100 °C, and 65 °C.
Add your observations to the table.

Sample Table Entry Format

| Trial | 175 °C | 145 °C | 100 °C | 65 °C | |-------|------------|----------|--------|---------| | 1 | 2 min 30 sec | 5 min 0 sec | 8 min 15 sec | 12 min 0 sec | | 2 | 2 min 45 sec | 4 min 30 sec | 7 min 45 sec | 13 min 30 sec |

Mean Half-Life Calculation

For each temperature, calculate the mean half-life:

Convert times to seconds:
- For 175 °C:
  - Trial 1: \( 2 \text{ min } 30 \text{ sec} = (2 \times 60) + 30 = 150 \text{ sec} \)
  - Trial 2: \( 2 \text{ min } 45 \text{ sec} = (2 \times 60) + 45 = 165 \text{ sec} \)
- Mean for 175 °C: \( \frac{150 + 165}{2} = 157.5 \text{ sec} \)
Convert back to minutes and seconds:
- \( 157.5 \text{ sec} = 2 \text{ min } 37.5 \text{ sec} \)

Repeat for Other Temperatures

Do the same for the other temperatures in the same format.

Final Table Example

| Trial | 175 °C | 145 °C | 100 °C | 65 °C | |-------|-----------------|----------------|------------------|----------------| | 1 | 2 min 30 sec | 5 min 0 sec | 8 min 15 sec | 12 min 0 sec | | 2 | 2 min 45 sec | 4 min 30 sec | 7 min 45 sec | 13 min 30 sec | | Mean | 2 min 37.5 sec | 4 min 15 sec | 7 min 30 sec | 12 min 45 sec |

Results Analysis

Upon analyzing the mean half-lives across different temperatures, you might notice a trend:

Temperature Effect: Higher temperatures lead to shorter half-lives, which indicates that increasing temperature generally increases the reaction rate.
Collisions and Energy: The reason behind this could be explained through the collision theory—higher temperatures provide more energy to the reactants, increasing the frequency and energy of molecular collisions, thus speeding up the reaction.

Conclusion

Summarize by stating that the results support the hypothesis that temperature affects reaction rates, with higher temperatures resulting in shorter half-lives.