Asksia AI LOGO

Sia

青州's Question
Chemistry
Posted 3 months ago

2. Inversion of sucrose is a bimolecular reaction of sucrose with water, producing glucose and fructose:
a) What is the reaction order if the reaction takes place in dilute aqueous solution (great excess of water)?
The respective half-lifes t1/2t_{1 / 2} of the reaction in dilute and acidified aqueous solutions were measured by polarimetry at various temperatures, with the initial concentration of sucrose 0.2 moldm30.2 \mathrm{~mol} \mathrm{dm}{ }^{-3}, and it was found: 50C,t1/2=23.0 s;25C,t1/2=673 s;10C50^{\circ} \mathrm{C}, \mathrm{t}_{1 / 2}=23.0 \mathrm{~s} ; 25^{\circ} \mathrm{C}, \mathrm{t}_{1 / 2}=673 \mathrm{~s} ; 10^{\circ} \mathrm{C}, t1/2=111.7 min\mathrm{t}_{1 / 2}=111.7 \mathrm{~min}.
Sign in to unlock the answer
Answer from Sia
Posted 3 months ago
Solution
1
Determine the reaction order: The reaction order can be determined by analyzing the reaction conditions and the given data. In a dilute aqueous solution, the concentration of water is much greater than that of sucrose and remains nearly constant throughout the reaction. Therefore, the reaction rate is independent of the concentration of water
2
Apply the definition of reaction order: Since the concentration of water does not change appreciably and does not affect the rate, the reaction order with respect to water is zero. The reaction is catalyzed by a hydrogen ion, but the catalyst does not affect the overall reaction order. Thus, the reaction order is determined solely by the concentration of sucrose
3
Use the half-life data: The half-life of a reaction is the time required for the concentration of a reactant to decrease to half its initial value. For a first-order reaction, the half-life is independent of the initial concentration. The provided half-life data does not depend on the initial concentration of sucrose, which suggests that the reaction is first-order with respect to sucrose
Answer
The reaction order is first-order with respect to sucrose.
Key Concept
Reaction order determination in dilute solutions
Explanation
In dilute solutions where the solvent's concentration remains constant, the reaction order is determined by the reactant whose concentration changes and affects the rate, which in this case is sucrose. The constant half-life regardless of initial concentration indicates a first-order reaction with respect to sucrose.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages
Strong algorithms that better know you
Early access to new release features
Study Other Question