Calculate the theoretical yield if the percentage yield is 55% and the recovered actual yield is 24g:
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Answer: B. 43.6g
Explanation
Theoretical yield is calculated by dividing actual recovery mass by the percentage yield decimal. Dividing twenty-four grams by zero point five five yields approximately forty-three point six grams. This mathematical relationship accounts for experimental losses during chemical isolation and purification. Percentage yield compares actual experimental product mass recovered to the maximum theoretical calculation. Stoichiometry uses balanced chemical equations to predict the maximum possible product mass obtainable. Side reactions and incomplete reactant conversions typically reduce actual recovery below one hundred percent.
Pharmaceutical chemists calculate percentage yields to evaluate the economic viability of drug syntheses. Industrial chemical plants optimize reaction conditions to maximize product recovery and minimize chemical waste. Laboratory students verify their synthetic technique by comparing experimental yields with stoichiometric expectations. Forty grams represents an incorrect calculation resulting from improper decimal division of recovery data. Forty-five grams overestimates the theoretical mass based on the actual twenty-four gram recovery. Forty-one point four grams fails to match the precise mathematical quotient of the given values.
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