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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?
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?

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Xishem
 4 years ago
Best ResponseYou've already chosen the best response.1Here 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...\[k_2=10.004s^{1}\approx 10s^{1}\]

Xishem
 4 years ago
Best ResponseYou've already chosen the best response.1Oh! I see the mistake I made here. Let me fix that.

Xishem
 4 years ago
Best ResponseYou've already chosen the best response.1The final units just need to be in inverse minutes, not inverse seconds: \[k_2=10mi n^ {1}\]
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