Reaction rate constants at temperatures T1 and T2 are related by_________________?
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Answer: B. ln (k2/k1) = (E/R) (1/T1 – 1/T2)
Explanation
The Arrhenius equation integrated between two absolute temperatures yields the logarithmic rate constant ratio formula. Activation energy divided by the gas constant multiplies the inverse temperature difference in the correct expression. Logarithmic properties correctly place temperature T1 in the first term and T2 in the second term. Arrhenius temperature integration allows chemical engineers to calculate rate constants at unmeasured operating conditions. Activation energy represents the temperature sensitivity parameter governing reaction rate constant variations. Absolute temperatures measured in Kelvin must be used for all Arrhenius calculations in chemical kinetics.
Predicting reaction kinetics at elevated operating temperatures is vital for safe industrial reactor design. Laboratory catalyst testing uses multi temperature rate constant data to extract activation energy values. Process optimization software relies on Arrhenius relations to simulate reactor thermal behavior accurately. Option A reverses the temperature order inside the parentheses, leading to an incorrect sign in calculations. Option C uses exponential functions instead of natural logarithms for the rate constant ratio relationship. Option D combines exponential functions with reversed temperature terms, violating standard Arrhenius integration.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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