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The rate of the reaction A+B⟶C is 3.6 × 10−2 mol dm−3 s−1 when [A] = 0.3 mol dm−3 and [B] = 0.2 mol dm−3. Calculate k if reaction is first order in A and zero order in B. -

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Question

The rate of the reaction \[\ce{A + B -> C}\] is 3.6 × 10−2 mol dm−3 s−1 when [A] = 0.3 mol dm−3 and [B] = 0.2 mol dm−3. Calculate k if reaction is first order in A and zero order in B.

Options

  • 0.036 s−1

  • 0.009 s−1

  • 0.18 s−1

  • 1.8 s−1

MCQ

Solution

0.18 s−1

Explanation:

The reaction \[\ce{A + B -> C}\] is first order in A and zero order in B; hence, the rate law of the reaction is Rate = k[A]

Rate = 3.6 × 10−2 mol dm−3 s−1

[A] = 0.3 mol dm−3, [B] = 0.2 mol dm−3

3.6 × 10−2 mol dm−3 s−1 = k × (0.3 mol dm−3)

k = 0.18 s−1

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