In chemistry, if rate = k[A]^2 and [A] doubles, by what factor does the rate increase?

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Multiple Choice

In chemistry, if rate = k[A]^2 and [A] doubles, by what factor does the rate increase?

Explanation:
The rate depends on the square of the A concentration, so it’s second-order with respect to A. If [A] doubles, the rate becomes k(2[A])^2 = 4k[A]^2, which is four times the original rate. So the rate increases by a factor of four. If the dependence were different, the factor would change accordingly: linear would give a twofold increase, cubic would give an eightfold increase, and zero-order would stay the same.

The rate depends on the square of the A concentration, so it’s second-order with respect to A. If [A] doubles, the rate becomes k(2[A])^2 = 4k[A]^2, which is four times the original rate. So the rate increases by a factor of four. If the dependence were different, the factor would change accordingly: linear would give a twofold increase, cubic would give an eightfold increase, and zero-order would stay the same.

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