Problem

In a laboratory experiment, the reaction of 3.0 $…

01:20

Problem 67 Hard Difficulty

Toluene, $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{3},$ is oxidized by air under carefully controlled conditions to benzoic acid, $\mathrm{CO}_{6} \mathrm{H}_{5} \mathrm{CO}_{6} \mathrm{H}$ , which is used to prepare the food preservative sodium benzoate, $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CO}_{2} \mathrm{Na}$ . What is the percent yield of a reaction that converts 1.000 $\mathrm{kg}$ of toluene to 1.21 $\mathrm{kg}$ of benzoic acid?
$2 \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{3}+3 \mathrm{O}_{2} \longrightarrow 2 \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CO}_{2} \mathrm{H}+2 \mathrm{H}_{2} \mathrm{O}$

Answer

91.3$\%$

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Chemistry 101

Chemistry

Chapter 4

Stoichiometry of Chemical Reactions

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Video Transcript

this question says that telling you aim is oxidized by air under care controlled conditions to Ben's OIC acid, which is used to prepare sodium benzoate, asks us what the percent yield of reaction is that converts one kilogram tall. You mean here Thio 1.21 kilograms of Ben's OIC acid here? And this is the equation, the balanced equation that it gives us. So like most of these problems, we start with grams of tall. You in or grams of some substance, have to convert two moles of that substance than convert from Mel's of substance, a two moles of a substance we're trying to solve for substance B and then finally convert two grams of substance B begin, we're told we have one kilogram tell you in, and I'm going to agree. Tell Ewing T Oh, well and burns like acid. B A. Just to make this easier to write out, I'm gonna write this and grams rather than kill brands just because it makes the math little easier. So 1000 grams, which is one kilogram tell you mean they're starting Now we need to convert two bowls of Halloween. One more. We'll tell you mean is equal to 92. 21 grams of tall, you mean? And now the ratio between tall. You know, Ben's OIC acid is 2 to 2. You could simplify the 1 to 1, but I'm gonna write about, um, two moles tall. You mean they wanted to malls Appenzell like acid. You. Finally, one more of Ben's OIC acid is equal to 122 0.1 grams opens OIC acid once more. You convert from grams of your massive you're starting material two bowls of that starting material than two moles of the product you're looking at and finally massive the product. So our unit should cancel Grams tell you in here malls tell you mean here animals have been so weak acid here and left with grams of Benzo Castle, which is what we're looking for. We were to solve this. You would get answer of 1000 300 in 25 with seven rams benzo casted. So that's our theoretical yield. Given an initial 1000 grams from one kilogram, we're gonna put that in for theoretical down here one 1003 120 five 17 grams. And so, like acid and get percent yield. We divide the actual. It tells us we got 1.21 kilograms or 1210 grams over theoretical, which we just solved for his 1325.7 grams. If you divide this, you would get 0.913 which, as a, um, percentages 91 0.3% yield.

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