Assume that 1.00 mL (1.02 g) of crude product mixture is obtained from the reaction before the washing steps, and the distribution constant of the product mixture in brine is K = (Cmixture/Cbrine) = 50.0. Assuming that after mixing the product mixture volume is still 1.00 mL (i.e., the volume lost is small), and the volume of the first brine wash layer is 2.00 mL. What mass (grams) of product mixture is lost (dissolves) in the first brine wash? (See Technique 13.2, p 53.) Show work.

EBK A SMALL SCALE APPROACH TO ORGANIC L
4th Edition
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Chapter79: Solubility
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Assume that 1.00 mL (1.02 g) of crude product mixture is obtained from the reaction
before the washing steps, and the distribution constant of the product mixture in brine is
K = (Cmixture/Cbrine) = 50.0. Assuming that after mixing the product mixture volume is
still 1.00 mL (i.e., the volume lost is small), and the volume of the first brine wash layer
is 2.00 mL. What mass (grams) of product mixture is lost (dissolves) in the first brine
wash? (See Technique 13.2, p 53.) Show work.

54
13.2 Liquids
A similar washing procedure can be applied to liquid samples. Suppose that a 1.00 L
aqueous solution contains 100. g of solute A and 10.0 g of solute B (an impurity). Suppose that
solute A has a distribution coefficient KA = 99.5, and that solute B has a distribution coefficient
KB = 0.100 for the solvent ether. That is, A is much more soluble in ether than in water, while B
is more soluble in water than in ether. If the aqueous solution were extracted once with 1.00 L of
ether, the ether layer would contain nearly all of the solute A (99.0 g), and a little solute B (0.909
КА = 99.5 =
KB = 0.100 =
KA
= 99.5 =
Cather
Cwater
KB = 0.100 =
Cether
Cater
Cether
Cater
Cether
=
Cwater
a
1.00 L
(100.- a)
1.00 L
b
1.00 L
(10.0 - b)
1.00 L
These values are obtained by solving the respective distribution coefficient equations above for a
and b, respectively, where a is defined as grams of solute A dissolved in 1.00 L of ether, and b is
grams of solute B dissolved in 1.00 L of ether. The layers are then separated. (In a separatory
funnel, the aqueous layer is drained out, and the ether layer remains in the funnel). Suppose that
1.00 L of pure water (wash) is then added, and the mixture is shaken vigorously until equilibrium
is achieved. At this point the ether layer contains 98.0 g of solute A and only 0.0827 g of solute
B. (These values were obtained by solving the following equations for a' and b', respectively,
where a' is grams of solute A lost into the aqueous layer, and b' is grams of solute B lost into the
aqueous layer.) As an exercise, you should verify the 98.0 g of solute A, and the 0.0827 g of
solute B obtained above by working out the algebra.
(99.0 - a')
1.00 L
a'
1.00 L
(0.909 - b')
1.00 L
b'
1.00 L
Chem 2315 Lab Manual
=
=
a 1.00 L
(100. a) 00 L
b 1.00 L
(10.0-b) 00 L
(99.0 - a') 00 L
a' 00 L
(0.909 - b')00 L
b' 1.00 L
=
=
a
(100.- a)
b
(10.0 - b)
(99.0 - a')
a'
(0.909 - b')
b'
Transcribed Image Text:54 13.2 Liquids A similar washing procedure can be applied to liquid samples. Suppose that a 1.00 L aqueous solution contains 100. g of solute A and 10.0 g of solute B (an impurity). Suppose that solute A has a distribution coefficient KA = 99.5, and that solute B has a distribution coefficient KB = 0.100 for the solvent ether. That is, A is much more soluble in ether than in water, while B is more soluble in water than in ether. If the aqueous solution were extracted once with 1.00 L of ether, the ether layer would contain nearly all of the solute A (99.0 g), and a little solute B (0.909 КА = 99.5 = KB = 0.100 = KA = 99.5 = Cather Cwater KB = 0.100 = Cether Cater Cether Cater Cether = Cwater a 1.00 L (100.- a) 1.00 L b 1.00 L (10.0 - b) 1.00 L These values are obtained by solving the respective distribution coefficient equations above for a and b, respectively, where a is defined as grams of solute A dissolved in 1.00 L of ether, and b is grams of solute B dissolved in 1.00 L of ether. The layers are then separated. (In a separatory funnel, the aqueous layer is drained out, and the ether layer remains in the funnel). Suppose that 1.00 L of pure water (wash) is then added, and the mixture is shaken vigorously until equilibrium is achieved. At this point the ether layer contains 98.0 g of solute A and only 0.0827 g of solute B. (These values were obtained by solving the following equations for a' and b', respectively, where a' is grams of solute A lost into the aqueous layer, and b' is grams of solute B lost into the aqueous layer.) As an exercise, you should verify the 98.0 g of solute A, and the 0.0827 g of solute B obtained above by working out the algebra. (99.0 - a') 1.00 L a' 1.00 L (0.909 - b') 1.00 L b' 1.00 L Chem 2315 Lab Manual = = a 1.00 L (100. a) 00 L b 1.00 L (10.0-b) 00 L (99.0 - a') 00 L a' 00 L (0.909 - b')00 L b' 1.00 L = = a (100.- a) b (10.0 - b) (99.0 - a') a' (0.909 - b') b'
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