Sucrose (C12H22O11), which is commonly known as table sugar, reacts in dilute ac
ID: 940356 • Letter: S
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:
What is the rate constant?
3.68×103
b)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.
Time (min) C12H22O11(M) 0 0.316 39 0.274 80 0.238 140 0.190 210 0.146Explanation / Answer
k = 3.68 x 10^-3 min-1
Ao = 0.316 M
At = ?
1 ) at 39 min
k = 1/t * ln (Ao / At)
3.68 x 10^-3 = 1/39 ln (0.316 /At)
0.1435 = ln (0.316 /At)
At = 0.273 M
concentration = 0.273 M
2) at 80 min
k = 1/t * ln (Ao / At)
3.68 x 10^-3 = 1/80 ln (0.316 /At)
At = 0.235 M
concentration = 0.235M
3) at 140 min
k = 1/t * ln (Ao / At)
3.68 x 10^-3 = 1/140 ln (0.316 /At)
At = 0.189 M
concentration = 0.189M
4) at 210 min
k = 1/t * ln (Ao / At)
3.68 x 10^-3 = 1/210 ln (0.316 /At)
At = 0.146M
concentration = 0.146 M
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