Sucrose (C12H22O11), which is commonly known as table sugar, reacts in dilute ac

Question

Sucrose (C12H22O11), which is commonly known as table sugar, reacts in dilute acid solutions to form two simpler sugars, glucose and fructose, both of which have the formula C6H12O6: At 23 C and in 0.5 MHCl, the following data were obtained for the disappearance of sucrose:

Time (min) C12H22O11(M)

0-------------0.316

39------------0.274

80------------0.238

140----------0.190

210----------0.146

What is the rate constant?

Using this rate constant, calculate the concentration of sucrose at 39, 80, 140, and 210 min if the initial sucrose concentration was 0.316 M and the reaction was first order in sucrose.

Explanation / Answer

K = 2.303/t X log(C0/Ct)

at 39 min

K = 2.303/39 X log( .316/.274)

   = 0.00365

at 80 min

K = 2.303/80 X log(.316/.238)

    = 0.0035

at 140 min

K = 2.303/140X log(.316/.19)

   = 0.00363

So the rate constant K = 0.0036

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