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The sugar fructose contains $40.0 \% \mathrm{C}, 6.7 \% \mathrm{H},$ and 53$\% \mathrm{O}$ by mass. A solution of 11.7 $\mathrm{g}$ of fructose in 325 $\mathrm{g}$ of ethanol has a boiling point of $78.59^{\circ} \mathrm{C}$ . The boiling point of ethanol is $78.35^{\circ} \mathrm{C},$ and $K_{\mathrm{b}}$ for ethanol is $1.20^{\circ} \mathrm{C} / \mathrm{m} .$ What is the molecular formula of fructose?

$\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$

Chemistry 102

Chapter 11

Solutions and Colloids

Solutions

University of Central Florida

Rice University

Drexel University

University of Kentucky

Lectures

03:07

A liquid is a nearly incom…

04:38

A liquid is a state of mat…

02:20

Fructose is a common sugar…

10:14

04:17

What is the normal boiling…

02:56

The boiling point of ethan…

03:56

One of the components that…

04:39

00:49

Shown below are the struct…

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What is the boiling point …

09:52

An organic compound has a …

04:54

A solution is prepared by …

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Calculate the molecular or…

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The boiling point of water…

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01:20

04:27

01:31

A sucrose solution is made…

04:58

When D-fructose is dissolv…

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Determine the mass (in g) …

03:02

A $125-g$ sample contains …

everyone, this is Ricky. And today we're working on Problems 64 and we will be solving for the molecular formula of fructose. All right, so what do we know? Well, we know the bowling point of SNL. You know, the K B for ethanol. And we know the boiling point, the elevated boiling point when we add 11.7 grams of fruit does to the ethanol. So that means we can rearrange your blowing point equation to solve for morality, to get the moles of at the duality of Fritos So morality is equal to Delta. Okay, I sorry. Delta T B over K b. And then so to get our delta T b, we use theory journal. Ah, boring point of ethanol and subtract. I end. So we used the out. We have the elevated boring point of ethanol. 78.59 degrees Celsius subtracted that from the original boy point of the solution to get Belle TB all over K B A for ethanol, which is 1.20 When we get that, our morality is equal to point to o Molo. Now we're going to be calculating the moles of fruit dose And so moles saw Ute is equal to morality times mass solvent, not just the rearrange morality equation. So we have 0.20 M. Mole al times 0.3 to 5 kilograms of ethanol. Just a solvent is equal to 0.65 moles of of fruit does. And now we will be calculating the molecular mass of frutos. Um so molecular mash is equal to mass used overthe e a number of moles. So that's equal to 11.7 grams fruit toast over 0.0, 65 morals. So the more massive photos is 180 grams, Mol. And now we are going to say that we have 100 grams frutos. So this way we have 40 grams carbon, 6.7 grams of hydrogen, 53.3 grams of oxygen, um, in the compound. And we know this because Aah! These percentages were given to us. And so now we can calculate the moles of each. So defied by Muller Mass of carbon, we have 3.33 moles. Harbin do the same for hydrogen and then last the oxygen. We get three points through three moles of oxygen and now we can solve for C molecular formula. I mean the empirical formula of of fructose by using thes molar ratios. Looking at the moles for everyone Carbon. There's one oxygen, but there's also to hide regions, so carbon to two hydrogen is to one oxygen. So we have an empirical formula of siege to O and C H 20 has a mass of 30 grams per mole, 180 grams. Ramon over 30 grams per mole equals six. So the molecular formula is six times C H 20 Get then that you mean like a formula for roses. See six, age 12 06 What? This video is helpful.

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