Notifications
Clear all
Sucrose decomposes in acid solution into glucose and fructose according to the first order rate law, with t1/2 = 3.00 hours. What fraction of sample of sucrose remains after 8 hours?
0
30/01/2022 5:17 pm
Topic starter
Sucrose decomposes in acid solution into glucose and fructose according to the first order rate law, with t_{1/2} = 3.00 hours. What fraction of sample of sucrose remains after 8 hours?
Answer
Add a comment
Add a comment
Topic Tags
1 Answer
0
30/01/2022 5:24 pm
First order reaction,
k = \(\frac{2.303}{t}\)log \(\frac{[R]_0}{[R]}\)
It is given that, t_{1/2} = 3.00 hours
k = \(\frac{0.693}{t_{1/2}}\)
Therefore, \(\frac{0.693}{3}h^{1}\)
= 0.231 h^{1}
Then, 0.231 h^{1}
= \(\frac{2.303}{8 \ h}\)log \(\frac{[R]_0}{[R]}\)
⇒ log \(\frac{[R]_0}{[R]}\) = \(\frac{0.231 h^{1} \times 8 h}{2.303}\)
⇒ \(\frac{[R]_0}{[R]}\) = antilog (0.8024)
⇒ \(\frac{[R]_0}{[R]}\) = 6.3445
⇒ \(\frac{[R]_0}{[R]}\) = 0.1576 (approx)
= 0.158
Hence, the fraction of sample of sucrose that remains after 8 hours is 0.158.
This post was modified 3 years ago by admin
Add a comment
Add a comment
Forum Jump:
Related Topics

The time required for 10% completion of a first order reaction at 298 K is equal to that required for its 25% completion at 308 K. If the value of A is 4 x 10^10 s^1. Calculate k at 318 K and Ea.
3 years ago

The rate of a reaction quadruples when the temperature changes from 293 K to 313 K. Calculate the energy of activation of the reaction assuming that it does not change with temperature.
3 years ago

The decomposition of A into product has value of k as 4.5 x 10^3 s^1 at 10°C and energy of activation 60 kJ mol^1. At what temperature would k be 1.5 x 10^4 s^1?
3 years ago

The rate constant for the first order decomposition of H2O2 is given by the following equation: log k = 14.34  1.25 x 10^4 K/T.
3 years ago

The decomposition of hydrocarbon follows the equation k = (4.5 x 10^11 s^1) e^28000 K/T Calculate Ea.
3 years ago
Forum Information
 321 Forums
 27.3 K Topics
 53.8 K Posts
 1 Online
 12.4 K Members
Our newest member: Stripchat
Forum Icons:
Forum contains no unread posts
Forum contains unread posts
Topic Icons:
Not Replied
Replied
Active
Hot
Sticky
Unapproved
Solved
Private
Closed