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ANSWER ALL QUESTIONS QUESTION 1 [20 MARKS] Equilibrium constant, Ke for ethanoic acid esterification (CH3COOH) with ethanol (

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Answer #1

1.(a). Sol :-

Number of moles = Given mass in g / Gram molar mass

So,

Number of moles of ethanoic acid = 100 g / 60.052 g/mol

= 1.665 mol

Number of moles of ethanol = 100 g / 46.07 g/mol

= 2.171 mol

and

Number of moles of water = 36 g / 18 g/mol

= 2.0 mol

The reaction and ICE table is :

.........................CH3COOH (aq) .........+............CH3CH2OH (aq) <----------> CH3COOCH2CH3 (aq).........+.......H2O (l)

Initial (I)..............1.665 mol.....................................2.171 mol............................0.0 mol.........................................2.0 mol

Change (C)...........-α................................................-α........................................+α..................................................+α

Equilibrium (E).......(1.665-α) mol..........................(2.171-α) mol............................α mol.....................................(2.0+α) mol

Here, α = Amount dissociated per mole

Expression of concentration equilibrium constant (Kc) is :

Kc = [CH3COOCH2CH3].[H2O] / [CH3COOH].[CH3CH2OH]

4.0 = α(2.0+α) / (1.665-α)(2.171-α)

4.0(1.665-α)((2.171-α) = α(2.0+α)

(6.66 - 4.0 α)(2.171-α) = 2.0 α + α2

14.45886 - 15.344 α + 4.0 α2 = 2.0 α + α2

3.0 α2 - 17.344 α + 14.45886 = 0

On solving this equation :

α = 1.01015

Now, The equilibrium moles of all the species are :

Moles of ethanoic acid = (1.665-1.01015) mol = 0.65485 mol

Moles of ethanol = (2.171-1.01015) mol = 1.6085 mol

Moles of ethylethanoate = α = 1.01015 mol

and

Moles of water = (2.0 + 1.01015) mol = 3.01015 mol

Also,

The equilibrium mass of all the species are :

Mass of ethanoic acid = 0.65485 mol x 60.052 g/mol = 39.325 g

Mass of ethanol = 1.6085 mol x 46.07 g/mol = 74.104 g

Mass of ethylethanoate = 1.01015 mol x 88.11 g/mol = 89.00 g and

Mass of water = 3.01015 mol x 18 g/mol = 54.183 g

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