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1 December, 05:48

The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?

A. 100% decrease

B. 50% decrease

C. 40% decrease

D. 40% increase

E. 50% increase

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Answers (1)
  1. 1 December, 06:11
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    D. 40 % increase

    Step-by-step explanation:

    r = k[A]²/[B]

    The rate is inversely proportional to [B]. If [B] is doubled, the rate is halved.

    We must double this rate to get back to the original.

    The rate is directly proportional to [A]².

    2 = [A]₂/[A]₁² Take the square root of each side

    √2 = [A]₂/[A]₁ Multiply each side by [A]₁

    [A]₂ = √2[A]₁

    [A]₂ = 1.41[A]₁

    We must increase [A] by 41 %.
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