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In acidic solution, the breakdown of sucrose into glucose and fructose has this rate law: rate = k[H+][sucrose].
The initial rate of sucrose breakdown is measured in a solution that is 0.01 M H+, 1.0 M sucrose, 0.1 M fructose, and 0.1 M glucose.
How does the rate change if:
(a) [Sucrose] is changed to 2.5 M?
(b) [Sucrose], [fructose], and [glucose] are all changed to 0.5 M?
(c) [H+] is changed to 0.0001 M?
(d) [Sucrose] and [H+] are both changed to 0.1 M ?

Respuesta :

Answer:

a)If concentration of [Sucrose] is changed to 2.5 M than rate will be increased by the factor of 2.5.

b)If concentration of [Sucrose] is changed to 0.5 M than rate will be increased by the factor of 0.5.

c)If concentration of  [tex][H^+][/tex] is changed to 0.0001 M than rate will be increased by the factor of 0.01.

d) If concentration when [sucrose] and[tex][H^+][/tex] both are changed to 0.1 M than rate will be increased by the factor of 1.

Explanation:

Sucrose +  [tex]H^+\rightarrow [/tex]  fructose+ glucose

The rate law of the reaction is given as:

[tex]R=k[H^+][sucrose][/tex]

[tex][H^+]=0.01M[/tex]

[sucrose]= 1.0 M

[tex]R=k[0.01M][1.0 M][/tex]..[1]

a)

The rate of the reaction when [Sucrose] is changed to 2.5 M = R'

[tex]R'=[0.01 M][2.5 M][/tex]..[2]

[2] ÷ [1]

[tex]\frac{R'}{R}=\frac{[0.01 M][2.5 M]}{k[0.01M][1.0 M]}[/tex]

[tex]R'=2.5\times R[/tex]

If concentration of [Sucrose] is changed to 2.5 M than rate will be increased by the factor of 2.5.

b)

The rate of the reaction when [Sucrose] is changed to 0.5 M = R'

[tex]R'=[0.01 M][0.5 M][/tex]..[2]

[2] ÷ [1]

[tex]\frac{R'}{R}=\frac{[0.01 M][0.5 M]}{k[0.01M][1.0 M]}[/tex]

[tex]R'=2.5\times R[/tex]

If concentration of [Sucrose] is changed to 0.5 M than rate will be increased by the factor of 0.5.

c)

The rate of the reaction when [tex][H^+][/tex] is changed to 0.001 M = R'

[tex]R'=[0.0001 M][1.0 M][/tex]..[2]

[2] ÷ [1]

[tex]\frac{R'}{R}=\frac{[0.0001 M][1.0M]}{k[0.01M][1.0 M]}[/tex]

[tex]R'=0.01\times R[/tex]

If concentration of  [tex][H^+][/tex] is changed to 0.0001 M than rate will be increased by the factor of 0.01.

d)

The rate of the reaction when [sucrose] and[tex][H^+][/tex] both are changed to 0.1 M = R'

[tex]R'=[0.1M][0.1M][/tex]..[2]

[2] ÷ [1]

[tex]\frac{R'}{R}=\frac{[0.1M][0.1M]}{k[0.01M][1.0 M]}[/tex]

[tex]R'=1\times R[/tex]

If concentration when [sucrose] and[tex][H^+][/tex] both are changed to 0.1 M than rate will be increased by the factor of 1.

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