The following data is collected for the decomposition of methy isonitrile at various tempertures:
Temp.(C)---{k(/s)} --- lnk---1/T
290--- {2.52*10^-5}--- ?--- ?
299--- {5.25*10^-5}--- ? --- ?
330--- {6.30*10^-4}--- ?--- ?
Complete the table above and, using your graphing calculator determine the value of the activation energy for this reaction.
To complete the table and determine the value of the activation energy for the reaction, we need to calculate the values for lnk and 1/T.
To calculate lnk, we use the natural logarithm (ln) of the k values given in the table. The lnk column represents the natural logarithm of the k values.
To calculate 1/T, we need to calculate the reciprocal of the temperature (in Kelvin). To do this, we divide 1 by the temperature value in Celsius and convert it to Kelvin.
Here's how to complete the table:
Temp.(C) --- k(/s) --- lnk --- 1/T
290 --- 2.52*10^-5 --- ln(2.52*10^-5) --- 1/(290 + 273)
299 --- 5.25*10^-5 --- ln(5.25*10^-5) --- 1/(299 + 273)
330 --- 6.30*10^-4 --- ln(6.30*10^-4) --- 1/(330 + 273)
To determine the value of the activation energy for the reaction, we need to plot a graph of lnk vs. 1/T and perform a linear regression to find the slope. The slope of the line represents the activation energy (Ea).
You can use a graphing calculator or software capable of performing linear regression to determine the value of the activation energy.
Here's a step-by-step guide to using a graphing calculator to find the activation energy:
1. Enter the lnk values into your graphing calculator as the dependent variable (y-values).
2. Enter the 1/T values into your graphing calculator as the independent variable (x-values).
3. Plot the points on the graphing calculator.
4. Perform a linear regression analysis on the data.
5. The slope of the resulting regression line represents the activation energy (Ea).