Question 17.10: The death rate constant for mice at 27.0°C is 0.0350 months^...
The death rate constant for mice at 27.0°\text{C} is 0.0350 \text{months}^{–1} . Determine the coefficient α in Eq. (17.33) for mice.
At T = 27.0°\text{C} = 300. \text{K}, we find, from Eq. (17.33), that
\frac{k_d}{a} = T \left\{\text{exp} [9.62 × 10^4 (\frac{T − 330.}{330. × T}) −33.2]\right\} (17.33)
k_d/α = 300.\left\{\text{exp} [9.62 × 10^4 (300. − 330.) / [(330.) (300.)] −33.2] \right\} = 2.50 × 10^{−25} \text{K}
then
α = 0.035 \text{months}^{–1}/ (2.50 × 10^{−25} \text{K}) = 1.4 × 10^{23} \text{months}^{–1} .\text{K}^{−1}
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