Question

Field crickets chirp faster or more slowly based on the temperature. The following function rule provides a pretty good measure of the number of chirps per minute depending on the temperature:

\[C = 41 - 150\]

Answer 1

Biologists have studied the relationship between tree cricket chirping and temperature. By using the Arrhenius equation and analyzing a graph, they can determine the activation energy for the reaction controlling cricket chirping. Based on this information, the chirping rate can be predicted at a specific temperature.

Step-by-step explanation:

In the study of tree cricket chirping, biologists have found that the rate of chirping varies with temperature. The relationship between temperature (T) and chirping rate (f) can be described using the Arrhenius equation. A plot of the natural logarithm of the chirping rate against the inverse of the temperature should result in a straight line. By analyzing this graph, the activation energy (Ea) for the biochemical reaction controlling cricket chirping can be determined.

Based on the given figure, the slope of the line suggests that the chirping rate is controlled by a single reaction with an Eå (activation energy) of 55 kJ/mol.

Using this information, we can predict the chirping rate on a very hot evening with a temperature of 308 K (35°C or 95°F). By plugging in the value of 308 K into the equation, we find that the predicted chirping rate is 380 chirps per minute.