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When sucrose ,C(12)H(22)O(11) , is disso...

When sucrose ,`C_(12)H_(22)O_(11)` , is dissolved in `H_(2)O` in the presence of an acid catalyst it reacts according to the equation `C_(12)H_(22)O_(11) rarr 2C_(6)H_(12)O_(6)` with a rate law of Rate =k`[C_(12)H_(22)O_(11)]`. If 3.00 g of sucrose decreases to 2.70 g in 2.50 hours in the presence of a certain concentration of an acid catalyst, what is the half -life for this reaction under these same condition?

A

12.5 hours

B

16.4 hours

C

23.7 hours

D

37.9 hours

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The correct Answer is:
B
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