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MEDIUMMCQ SINGLEJEE Mains ChemistryPhysical ChemistryChemical kineticsPrevious Year Questions

The inversion of cane sugar is first order in [sugar] and proceeds with half-life of 600 minutes at pH = 4 for a given concentration of sugar. However, if pH = 5, the half-life changes to 60 minutes. The rate law expression for the sugar inversion can be written as (Kerala CEE 2014)

A.rate = k[sugar]1 [H+]2
B.rate = k[sugar]1 [H+]1
C.rate = k[sugar]1 [H+]4
D.rate = k[sugar]1 [H+]0✓ Correct
Explanation

Rate a b k A B Overall order of reaction = a + b. Inversion of cane sugar is first order reaction (given) and medium is acidic as pH is less than seven (given). Hence, rate = k [sugar]x[H+]y and x + y = 1 In option given, only (d) has a value of x + y = 1.

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