Sucrose hydrolyzes into glucose and fructose. The hydrolysis is a first order reaction. The half...

Question:

Sucrose hydrolyzes into glucose and fructose. The hydrolysis is a first order reaction. The half life for the hydrolysis of sucrose is 64.2 min at {eq}25 ^\circ C {/eq}. How many grams of sucrose in 1.25 L of a 0.389 M solution are hydrolyzed in 1.73 hrs?

Decay

To solve this problem, we will apply the formula for the first-order decay which is given by the formula below

$$\begin{align} \rm\ M &= \rm\ M_o e^{-kt}\\ \end{align} $$

where {eq}\rm\ M,M_o{/eq} are the final and original mass, k is the rate constant {eq}\rm\ k= \frac{\rm\ ln(2)}{\rm\ t}{/eq} and t is the time

Answer and Explanation: 1

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Given:

  • Half-life {eq}\rm\ t_{1/2} = 64.2 \rm\ min = 1.07 \rm\ hr{/eq}
  • Volume {eq}1.25 \rm\ L{/eq}
  • Concentration {eq}0.389\rm\ M{/eq}
  • Time {eq}1.73...

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Half-life: Calculating Radioactive Decay and Interpreting Decay Graphs

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Chapter 4 / Lesson 3
41K

Discover radioactive decay and the half-life equation. Learn how to use a half-life graph to write the equation for an atom's half-life and vice-versa.


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