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Q.For the reaction, H2(g) + Br2(g) → 2HBr(g), the reaction rate = K[H2] [Br2]^1/2; the statement that is true about this reaction is ................. .

(a) the reaction is of second order
(b) the order of the reaction is 3/2
(c) the unit of K is s^-1
(d) the molecularity of the reaction is 3/2
Goa GbshseGBSHSE Class 12 Board Exam 2019MCQ· 1mImportance★★★★★
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Overall order = sum of the powers in the experimentally-determined rate law, not the stoichiometric coefficients: 1 + 1/2 = 3/2.

For rate = k[H2][Br2]1/2k[H_2][Br_2]^{1/2}:

  • Order with respect to H2H_2 = 1
  • Order with respect to Br2Br_2 = 1/2
  • Overall order = 1+12=321 + \tfrac{1}{2} = \tfrac{3}{2}

Why the other options fail:

  • (a) Second order is wrong — the sum of powers is 3/2, not 2.
  • (c) The unit of kk depends on the order. For an order-nn reaction, unit of kk = (mol L−1)1−ns−1(mol\,L^{-1})^{1-n} s^{-1}. Here n=3/2n = 3/2, so the unit is (mol L−1)−1/2s−1(mol\,L^{-1})^{-1/2} s^{-1}, not s−1s^{-1} (that would only be true for a first-order reaction). …

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