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Annette [7]
3 years ago
8

The hydrolysis of sucrose (C12H22O11) into glucose and fructose in acidic water has a rate constant of 1.8×10−4s−1 at 25 ∘C. Ass

uming the reaction is first order in sucrose, determine the mass of sucrose that is hydrolyzed when 2.55 L of a 0.160 M sucrose solution is allowed to react for 200 minutes.
Chemistry
1 answer:
Musya8 [376]3 years ago
6 0

Answer:

Mass of sucrose that is hydrolyzed = 123.55 g

Explanation:

Since the reaction is a first ofree reaction,

Let the initial concentration of sucrose be C₀

And the concentration of sucrose left at any time be C.

r = (dC/dt) = -kC (Minus sign because it's a rate of reduction)

K = rate constant

(dC/dt) = - kC

(dC/C) = -kdt

 ∫ (dC/C) = -k ∫ dt 

Solving the two sides as definite integrals by integrating the left hand side from C₀ to C and the Right hand side from 0 to t.

We obtain

In (C/C₀) = -kt

(C/C₀) = (e⁻ᵏᵗ)

C = C₀ e⁻ᵏᵗ

So, we can find the concentration of sucrose left at the given time

k = 1.8 × 10⁻⁴ s⁻¹

t = 200 minutes = 200 × 60 = 12000 s

kt = 12000 × 1.8 × 10⁻⁴ = 2.16

C₀ = 0.160 M

C = 0.160 e⁻²•¹⁶ = 0.01845 M

So, the concentration that has been used up = 0.160 - 0.01845 = 0.142 M

To calculate the mass of sucrose that has reacted, we'll convert the concentration used up into number of moles.

Concentration = (number of moles)/(volume in Litres)

number of moles = concentration × volume in Litres

Volume in Litres = 2.55L

Number of moles = 0.142 × 2.55 = 0.361 moles

Then, mass = number of moles × Molar mass

Molar mass of sucrose = 342.3 g/mol

Mass of sucrose used up = 0.361 × 342.3 = 123.55 g

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You have to use the Henderson-Hasselbalch equation. Keep in mind that because the Pka is given the equation changes form slightly:

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Explanation:

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What do Potassium and Krypton have in common and what are their differences based on their location on the periodic table?
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And Krypton has an atomic number of 36. Its electronic configuration is as follow;

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It is concluded that both Potassium and Krypton has their valence electrons in 4rth shell or they have same Principle Quantum Number.

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The air bags in cars are inflated when a collision triggers the explosive, highly exothermic decomposition of sodium azide (NaN3
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Answer : The mass of NaN_3 required is, 166.4 grams.

Explanation :

First we have to calculate the moles of nitrogen gas.

Using ideal gas equation:

PV=nRT

where,

P = Pressure of N_2 gas = 1.00 atm

V = Volume of N_2 gas = 113 L

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R = Gas constant = 0.0821L.atm/mol.K

T = Temperature of N_2 gas = 85^oC=273+85=358K

Putting values in above equation, we get:

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The balanced chemical reaction is,

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From the balanced reaction we conclude that

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So, 3.84 moles of N_2 produced from \frac{2}{3}\times 3.84=2.56 moles of NaN_3

Now we have to calculate the mass of NaN_3

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\text{ Mass of }NaN_3=(2.56moles)\times (65g/mole)=166.4g

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