Final answer:
The saponification value of olive oil is 190 mg KOH/1g fat. To find the average molecular weight of the fatty acids in the oil, divide the saponification value by the equivalent weight of KOH. The correct answer is D) 633 g/mol.
Step-by-step explanation:
The saponification value of olive oil is 190 mg KOH/1g fat. The saponification value represents the amount of KOH required to saponify the fat in the oil. To find the average molecular weight of the fatty acids in the oil, we need to divide the saponification value by the equivalent weight of KOH. The equivalent weight of KOH is the molar mass of KOH divided by the number of hydroxide ions it can donate.
The molar mass of KOH is 39.1 g/mol. Since KOH can donate one hydroxide ion, the equivalent weight of KOH is also 39.1 g/mol.
Therefore, to find the average molecular weight of the fatty acids in the oil, we divide the saponification value by the equivalent weight of KOH:
Average molecular weight = (190 mg KOH/1g fat) × (1 g fat/1000 mg fat) × (39.1 g/mol) = 7,469 g/mol.
The correct answer choice is D) 633 g/mol.