The hydrolysis of the sugar sucrose to the sugars glucose and fructose follows a first-order rate equation for the disappearance of sucrose. C 12 H 22 O 11 ( a q ) + H 2 O ( l ) → C 6 H 12 O 6 ( a q ) + C 6 H 12 O 6 ( a q ) Rate = k [ C 12 H 22 O 11 ] In neutral solution, k = 2.1 × 10 − 11 at 27 °C. (As indicated by the rate constant, this is a very slow reaction. In the human body, the rate of this reaction is sped up by a type of catalyst called an enzyme.) (Note: That is not a mistake in the equation—the products of the reaction, glucose and fructose, have the same molecular formulas, C 6 H 12 O 6 , but differ in the arrangement of the atoms in their molecules). The equilibrium constant for the reaction is 1.36 × 10 5 at 27 °C. What are the concentrations of glucose, fructose, and sucrose after a 0.150 M aqueous solution of sucrose has reached equilibrium? Remember that the activity of a solvent (the effective concentration) is 1.
The hydrolysis of the sugar sucrose to the sugars glucose and fructose follows a first-order rate equation for the disappearance of sucrose. C 12 H 22 O 11 ( a q ) + H 2 O ( l ) → C 6 H 12 O 6 ( a q ) + C 6 H 12 O 6 ( a q ) Rate = k [ C 12 H 22 O 11 ] In neutral solution, k = 2.1 × 10 − 11 at 27 °C. (As indicated by the rate constant, this is a very slow reaction. In the human body, the rate of this reaction is sped up by a type of catalyst called an enzyme.) (Note: That is not a mistake in the equation—the products of the reaction, glucose and fructose, have the same molecular formulas, C 6 H 12 O 6 , but differ in the arrangement of the atoms in their molecules). The equilibrium constant for the reaction is 1.36 × 10 5 at 27 °C. What are the concentrations of glucose, fructose, and sucrose after a 0.150 M aqueous solution of sucrose has reached equilibrium? Remember that the activity of a solvent (the effective concentration) is 1.
The hydrolysis of the sugar sucrose to the sugars glucose and fructose follows a first-order rate equation for the disappearance of sucrose.
C
12
H
22
O
11
(
a
q
)
+
H
2
O
(
l
)
→
C
6
H
12
O
6
(
a
q
)
+
C
6
H
12
O
6
(
a
q
)
Rate
=
k
[
C
12
H
22
O
11
]
In neutral solution,
k
=
2.1
×
10
−
11
at 27 °C. (As indicated by the rate constant, this is a very slow reaction. In the human body, the rate of this reaction is sped up by a type of catalyst called an enzyme.) (Note: That is not a mistake in the equation—the products of the reaction, glucose and fructose, have the same molecular formulas,
C
6
H
12
O
6
, but differ in the arrangement of the atoms in their molecules). The equilibrium constant for the reaction is
1.36
×
10
5
at 27 °C. What are the concentrations of glucose, fructose, and sucrose after a 0.150 M aqueous solution of sucrose has reached equilibrium? Remember that the activity of a solvent (the effective concentration) is 1.
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