## anonymous 4 years ago It is believed that the rate of at see cricket's chirping is related to temperature. Studies have shown that the activation energy for the cricket's chirping is 22kj/mol and that the cricket chirps 10 times per minute at 27 degrees Celcius. How often does the cricket chirp at 42 degrees celcius?

1. anonymous

Here we need to use an equation which (I believe) is derived from the Arrhenius equation... $\ln(\frac{k_2}{k_1})=\frac{-E_a}{R}(\frac{1}{T_2}-\frac{1}{T_1})$$\ln(\frac{k_2}{10s^{-1}})=\frac{-22kJ*mol^{-1}}{8.314J*K^{-1}*mol^{-1}}(\frac{1}{315K}-\frac{1}{300K})$$\ln(\frac{k_2}{10s^{-1}})=-2.6461*K^{-1}(-1.5873*10^{-4})$$\ln(\frac{k_2}{10s^{-1}})=4.2002$$\frac{k_2}{10s^{-1}}=e^{4.2002}$$\frac{k_2}{10s^{-1}}=1.0004$$k_2=10.004s^{-1}$Since, we're really only justified in keeping 2 SFs...$k_2=10.004s^{-1}\approx 10s^{-1}$

2. anonymous

Oh! I see the mistake I made here. Let me fix that.

3. anonymous

The final units just need to be in inverse minutes, not inverse seconds: $k_2=10mi n^ {-1}$