In a rate law rate = k[A]^2, if [A] is halved, by what factor does the rate change?

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Multiple Choice

In a rate law rate = k[A]^2, if [A] is halved, by what factor does the rate change?

Explanation:
The rate depends on the square of the concentration of A. So when [A] is halved, [A] becomes [A]/2, and the rate becomes k([A]/2)^2 = k[A]^2/4. That means the rate drops to one quarter of its original value. So the rate changes by a factor of 1/4. In other words, halving [A] reduces the rate to 25% of its initial value.

The rate depends on the square of the concentration of A. So when [A] is halved, [A] becomes [A]/2, and the rate becomes k([A]/2)^2 = k[A]^2/4. That means the rate drops to one quarter of its original value. So the rate changes by a factor of 1/4. In other words, halving [A] reduces the rate to 25% of its initial value.

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