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What is the theoretical yield of 2,4-dinitrobenzoic acid that can be obtained from 10 grams of benzoic acid and excess nitric acid, assuming 100% conversion efficiency?

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To calculate the theoretical yield of 2,4-dinitrobenzoic acid, we need to use stoichiometry. First, we need the balanced chemical equation for the reaction:C7H6O2  benzoic acid  + 2 HNO3  nitric acid   C7H4N2O6  2,4-dinitrobenzoic acid  + 2 H2O  water Next, we need the molar masses of benzoic acid and 2,4-dinitrobenzoic acid:Benzoic acid  C7H6O2 :  7  12.01  +  6  1.01  +  2  16.00  = 122.12 g/mol2,4-Dinitrobenzoic acid  C7H4N2O6 :  7  12.01  +  4  1.01  +  2  14.01  +  6  16.00  = 212.14 g/molNow, we can calculate the moles of benzoic acid in 10 grams:moles of benzoic acid = mass / molar mass = 10 g / 122.12 g/mol = 0.0819 molSince the balanced equation shows a 1:1 ratio between benzoic acid and 2,4-dinitrobenzoic acid, the moles of 2,4-dinitrobenzoic acid produced will be the same as the moles of benzoic acid:moles of 2,4-dinitrobenzoic acid = 0.0819 molFinally, we can calculate the theoretical yield of 2,4-dinitrobenzoic acid:theoretical yield = moles  molar mass = 0.0819 mol  212.14 g/mol = 17.37 gSo, the theoretical yield of 2,4-dinitrobenzoic acid that can be obtained from 10 grams of benzoic acid and excess nitric acid, assuming 100% conversion efficiency, is 17.37 grams.
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