The rate of a reaction doubles for every 10 degree Celsius rise. How much faster does it run at 95 degrees than at 25 degrees?
A128 times faster
B64 times faster
C14 times faster
D7 times faster
Answer & Solution
Correct answer: A. 128 times faster
1. The temperature rise is 95 degrees minus 25 degrees, which is 70 degrees Celsius.
2. Divide by 10 degrees to count the doublings, giving 7 doublings.
3. Each doubling multiplies the rate by 2, so the total factor is 2 raised to the power 7.
4. That is 128, so the reaction runs 128 times faster.
5. The answer 64 uses only 6 doublings, which would fit a rise of 60 degrees.
6. The answer 7 counts the doublings instead of applying them, and 14 doubles that count.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 12 "Kinetics", section 12.5 Collision Theory_
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