Question

Ethyl acetate is produced by the reaction between ethanol and acetic acid in a batch reactor of 1 m^3 at 100 °C, according to the reaction: C2H5OH + CH3COOH ⇋ H2O + CH3COOC2H5. The equilibrium constant is 2.93 and the rate constant k1 has a value of 7.93x10^-3 L/mol*s. The feed initially contains 30% acetic acid, 49% ethanol, and water, all these percentages by mass. The density is constant and equals 1 kg/L for the entire reaction system. a) What is the maximum conversion that can be achieved in the system? b) Calculate the time required for the system to reach 25% conversion.

          Ethyl acetate is produced by the reaction between ethanol and acetic acid in a batch reactor of 1 m^3 at 100 °C, according to the reaction: C2H5OH + CH3COOH ⇋ H2O + CH3COOC2H5. The equilibrium constant is 2.93 and the rate constant k1 has a value of 7.93x10^-3 L/mol*s. The feed initially contains 30% acetic acid, 49% ethanol, and water, all these percentages by mass. The density is constant and equals 1 kg/L for the entire reaction system.

a) What is the maximum conversion that can be achieved in the system?
b) Calculate the time required for the system to reach 25% conversion.
        
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Added by Anna L.

Chemistry: Structure and Properties
Chemistry: Structure and Properties
Nivaldo Tro 2nd Edition
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Ethyl acetate is produced by the reaction between ethanol and acetic acid in a batch reactor of 1 m^3 at 100 °C, according to the reaction: C2H5OH + CH3COOH ⇋ H2O + CH3COOC2H5. The equilibrium constant is 2.93 and the rate constant k1 has a value of 7.93x10^-3 L/mol*s. The feed initially contains 30% acetic acid, 49% ethanol, and water, all these percentages by mass. The density is constant and equals 1 kg/L for the entire reaction system. a) What is the maximum conversion that can be achieved in the system? b) Calculate the time required for the system to reach 25% conversion.
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Ethyl acetate is formed by the reaction between ethanol and acetic acid and the equilibrium is represented as: $$ \mathrm{CH}_{3} \mathrm{COOH}(\mathrm{l})+\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\mathrm{l}) \rightleftharpoons \mathrm{CH}_{3} \mathrm{COOC}_{2} \mathrm{H}_{5}(\mathrm{l})+\mathrm{H}_{2} \mathrm{O}(\mathrm{I}) $$ (i) Write the concentration ratio (reaction quotient), $g_{\mathrm{c}}$, for this reaction (note: water is not in excess and is not a solvent in this reaction) (ii) At $293 \mathrm{~K}$, if one starts with $1.00 \mathrm{~mol}$ of acetic acid and $0.18 \mathrm{~mol}$ of ethanol, there is $0.171 \mathrm{~mol}$ of ethyl acetate in the final equilibrium mixture. Calculate the equilibrium constant. (iii) Starting with $0.5 \mathrm{~mol}$ of ethanol and $1.0 \mathrm{~mol}$ of acetic acid and maintaining it at $293 \mathrm{~K} .0 .214 \mathrm{~mol}$ of ethyl acetate is found after sometime. Has equilibrium been reached?

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The traditional way to form acetic acid is through the fermentation of ethanol through the action of acetic acid bacteria. This is an aerobic reaction: C2H5OH + O2 → CH3COOH + H2O What would be the mass flow rate of oxygen reacting in kg/hr in the feed stream into the reactor if 560.8 kg/hr of ethanol are reacted, with a conversion to acetic acid of 90%? The oxygen is supplied at a rate of 30% excess of the theoretical oxygen. [Report to two decimal points, e.g. 3.45]

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Transcript

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00:02 Let's begin by writing in equilibrium expression here.
00:07 I'm going to write this as a word equation, products over reactants, molarity of ethyl acetate, water over cetic acid, and ethanol.
00:32 And we're told that the equilibrium constant here is equal to 3 .4.
00:37 So for part a, we're given equilibrium mixture in moles of each.
00:45 Since we're dealing with malarity in the equilibrium expression, we can assume a constant volume and therefore we can substitute moles in.
00:54 So 3 .4, and let's put our known values in.
00:57 The unknown value is ethyl acetate.
01:00 So this would be ethyl acetate.
01:08 And the value that we get will be in moles because we're plugging in moles.
01:13 This will be 12 moles of water, so 12 .0 over acetic acid is 4 .0 and ethanol will be 6 .0.
01:26 So let's solve for the moles of acetic acid, which will be 6 .8 moles.
01:42 So that would be the moles of acetic acid.
01:44 That would be present at equilibrium.
01:49 For part b, we're going to have to set up an ice table.
01:54 So the ice table look like this.
02:00 Acetic acid, ethanol, equilibrium with ethylacetate, and water...
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