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By what ratio will the rate constant change?

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For a certain reaction, the activation energy is 52.1 kJ/mole. By what ratio will the rate constant change if the temperature is decreased from 175 degrees celsius to 75 degrees celsius?

a. 0.00402
b. 0.0179
c. 0.996
d. 121
e. 249

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The answer is explained in the attachment as a step-by-step equation. The ratio rate constant changes are examined.

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