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sucrose decomposes in acid solution into glucose a...

Question:
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:

For a first order reaction,

k = 2.303/t Log [R]_º/ [R]

It is given that, t_1/2= 3.00 hours

Therefore, k = 0.693 / t_1/2

= 0.693 / 3 h^-1

= 0.231 h^{- 1}

Then, 0.231 h^{- 1}= 2.303 / 8h Log [R]_º/ [R]

Hence, the fraction of sample of sucrose that remains after 8 hours is 0.158.

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Question:
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?

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Question: 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?

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Question:
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?