Problem

Explain how the heasured in Example 5.5 differs f…

03:03

Problem 38 Hard Difficulty

Which is the least expensive source of energy in kilojoules per dollar: a box of breakfast cereal that weighs 32 ounces and costs $\$ 4.23,$ or a liter of isooctane (density, 0.6919 $\mathrm{g} / \mathrm{mL} )$ that costs $\$ 0.45 ?$ Compare the nutritional value of the cereal with the heat produced by combustion of the isooctane under standard conditions. A 1.0 -ounce serving of the cereal provides 130 Calories.

Answer

Isooctane is least expensive.

Top Chemistry 101 Educators

Allea C.

University of Maryland - University College

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Video Transcript

determine the least expensive source of energy and kill the jewels per dollar. We have a box of breakfast cereal versus a leader of IsIL octane. Still, let's look at the cereal first. So for our cereal we have 32 ounces. Yeah. Times. Well then it is 100 and 30 calories in a one ounce serving. So one ounce equivalent to 130 calories. Therefore this would be equal to 4160 calories. And let's convert this to Kilo jewels. So 4160 calories, 4.184 jewels go to one calorie 1000 fuels one individual. Therefore, this would be equal to 17 0.40 five killer jewels. And We're told that the 32 ounce cereal Is $4.23 to our cost here. Q. A. jules per dollars 17.405 Akila Jewels. Over $4.23. This would be equal to four point 11 killer jewels per dollar. Now, this would be for the cereal. Mm hmm. Now let's do the isil octane next. And then compare. So I have to find the mass of the ice so obtained. And we're told that we have one leader of ISO octane and convert this to mill leaders. And then we've given the density of 6919 grams per mil leader. And for our massive ISO octane to call the 691 9 grounds. And were given the heat of combustion here. So 691.9 g of Isil oxen. Your combustion here is mhm. Mhm. I would look up the heat of combustion here. 114.2. No, sorry. 5 462 killed jules per mole. So we need to convert this to moles. 1st one mole of ISO Octane is a molar mass of some older mass. Here's 114 two g and the heat here is 5 462. Hello jules per mole. Therefore this is equal to 3 33.78 times 10 to the third pillar jewels. And then our cost here would be equal to 33.7 eight times 10 to the third killer jewels. Over Cost here is 45 cents. And this would give us um seven E. What did we get there? 33 points or 70 three. So 735 Times 10 to the 4th killer jewels per dollar. Therefore, um if we look at it, we get thanks more energy. Yeah. Per dollar from isil octane compared to the cereal. Therefore I saw octane. Okay. Okay. Is the least expensive? Mhm. Yeah. Mhm. Source of energy.

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