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. Click Pause (1) when the number of reactant molecules is 10. 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?

1 answer

To complete the table and analyze the results, follow the steps outlined in the experiment. Here’s a breakdown of how to proceed:

1. Gather Data:

As per your instructions, you will need to conduct trials at each temperature setting and track the time taken for half of the reactants to react. The information gathered during your trials will fill the table below.

Table:

| Trial | 175 °C | 145 °C | 100 °C | 65 °C | |-------|------------|-----------|---------|----------| | 1 | [t1] | [t2] | [t3] | [t4] | | 2 | [t5] | [t6] | [t7] | [t8] |

Replace [t1], [t2], etc., with the recorded times in minutes and seconds when the number of reactant molecules reached 10.

2. Calculate the Mean Half-Life:

For each temperature, you need to calculate the mean half-life based on the two recorded times for each trial. Here’s a step-by-step guide on how to do this:

  1. Convert the times from minutes and seconds into total seconds:

    • Total seconds = (minutes * 60) + seconds
  2. Add the two trial times together and then divide by two to get the mean time in seconds.

  3. Convert the mean time back into minutes and seconds:

    • Minutes = Total seconds // 60
    • Seconds = Total seconds % 60

After calculating, fill in the mean values in the table:

| Trial | 175 °C | 145 °C | 100 °C | 65 °C | |-------|------------|-----------|---------|----------| | 1 | [mean1] | [mean2] | [mean3]| [mean4] | | 2 | [mean1] | [mean2] | [mean3]| [mean4] | | Mean | [Mean175]| [Mean145]| [Mean100]| [Mean65] |

3. Analyze:

Once you have all the mean half-lives calculated for each temperature, you can analyze the trend. Generally, you may find:

  • Increased Temperature = Decreased Half-Life: This indicates that higher temperatures result in faster reaction rates, as molecules have more kinetic energy and collide more frequently, leading to quicker reactions.

  • Lower Temperature = Increased Half-Life: Lower temperatures may indicate slower reaction rates due to reduced kinetic energy, resulting in longer times for half of the reactants to react.

Conclusion:

Write a summary of your findings, indicating the relationship between temperature and half-life, and discuss any patterns or scientific principles observed. If anomalies were present in your data, consider possible sources of error in the experimental setup.

Feel free to plug in your actual time data into the tables and calculations as needed!