Question

The rate constant of a reaction increases by 3 times for every ${10}^{0}C$ rise in temperature uniformly, in the range of ${20}^{o}C$ to ${80}^{o}C$. If the rate constant at ${30}^{o}C$ is K, then what is its value at ${60}^{0}C$?

• A. 9K
• B. 27K
• C. 6K
• D. 81K

Answer 1

Answer: (B)

27K

For every ${10}^{\circ }$ rise, rate increases by 3 times.

$⟹{30}^{\circ }\to {40}^{\circ }\to 3K$

$⟹{40}^{\circ }\to {50}^{\circ }\to 3\times 3K=9K$

$⟹{50}^{\circ }\to {60}^{\circ }\to 3\times 9K=27K$

So, the rate constant is $27K$.