calculate the % of compound A extrcted if an aqueous solution containing 5.0g/100 ml is extracted with 33ml of diethyl ether thrice.(partition for ether-water distribution=4:1)
To calculate the percentage of Compound A extracted, we need to calculate the amount of Compound A extracted by diethyl ether, and then divide it by the initial amount of Compound A present in the aqueous solution. Here are the steps to find the answer:
1. Calculate the amount of Compound A in the aqueous solution:
- Given that the concentration of Compound A is 5.0g/100ml, we can calculate the amount of Compound A in the original aqueous solution as follows:
Amount of Compound A = (Concentration of Compound A) × (Volume of Aqueous Solution)
= (5.0g/100ml) × (100ml)
= 5.0g
2. Calculate the amount of Compound A extracted with each extraction:
- Given that the partition for ether-water distribution is 4:1, it means that for every 4 parts of Compound A in the aqueous solution, 1 part will be extracted by diethyl ether. Hence, 1/5th of Compound A will be extracted per extraction.
Amount of Compound A extracted in each extraction = (1/5) × Amount of Compound A in the aqueous solution
= (1/5) × 5.0g
= 1.0g
3. Calculate the total amount of Compound A extracted after three extractions:
- Since we performed three extractions, we can calculate the total amount of Compound A extracted by summing up the amount extracted in each extraction:
Total amount of Compound A extracted = (Amount of Compound A extracted in first extraction) + (Amount of Compound A extracted in second extraction) + (Amount of Compound A extracted in third extraction)
= 1.0g + 1.0g + 1.0g
= 3.0g
4. Calculate the percentage of Compound A extracted:
- Now that we know the total amount of Compound A extracted, we can calculate the percentage by dividing it by the initial amount of Compound A in the aqueous solution and multiplying by 100:
Percentage of Compound A extracted = (Total amount of Compound A extracted / Initial amount of Compound A in the aqueous solution) × 100
= (3.0g / 5.0g) × 100
= 60%
Therefore, the percentage of Compound A extracted from the aqueous solution using diethyl ether thrice is 60%.