Chapter 16, Problem 84A

Differentiate between the shaded areas in Figure 16.24at temperatures T 1 and T 2 on the basis of the number ofcollisions per unit time that might occur with energyequal to or greater than the activation energy.

Interpretation Introduction

Interpretation:

The difference between the shaded areas in the figure at temperature $T_1$ and $T_2$ on the basis of number of collisions per unit time needs to be explained.

Concept introduction:

According to collision theory the number of collisions between reactant molecules is proportional to the rate of chemical reaction. At high temperature molecules gains energy therefore they collide faster.

Answer to Problem 84A

At high temperature particles are move faster so they have higher energy while at lower temperature particles are move slowly hence they have lower energy than the particles of higher energy.

Explanation of Solution

As shown in the figure, $T_2>T_1$. Due to higher temperature $T_2$ have more particles that overcome the activation energy barrier. The higher temperature causes the particles to collide with higher energy. The lower temperature has fewer particles that meet the activation energy barrier because the particles are moving slowly hence they have less collision energy.

Conclusion

From the graph it is clear that number of particles is higher at high temperature that means they have high collision energy than the lower temperature molecules.