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A student carried out the following procedure to measure the pressure of carbon dioxide in a soft drink bottle. First, she weighed the bottle (853.5 g). Next, she carefully removed the cap to let the $\mathrm{CO}_{2}$ gas escape. She then reweighed the bottle with the $\operatorname{cap}(851.3 \mathrm{g}) .$ Finally, she measured the volume of the soft drink (452.4 mL). Given that Henry's law constant for $\mathrm{CO}_{2}$ in water at $25^{\circ} \mathrm{C}$ is $3.4 \times 10^{-2}$ $\mathrm{mol} / \mathrm{L} \cdot \mathrm{atm},$ calculate the pressure of $\mathrm{CO}_{2}$ in the original bottle. Why is this pressure only an estimate of the true value?

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$\therefore P=3.25 \mathrm{atm}$

Chemistry 102

Chapter 12

Physical Properties of Solutions

Solutions

Carleton College

University of Kentucky

Brown University

Lectures

03:58

In chemistry, a solution is a homogeneous mixture composed of two or more substances. The term "solution" is also used to refer to the resultant mixture. The solution is usually a fluid. The particles of a solute are dispersed or dissolved in the solvent. The resulting solution is also called the solvent. The solvent is the continuous phase.

05:06

In physics and thermodynamics, the natural tendency of a system to change its state is its tendency to increase the entropy of the system. It is a measure of the disorder in a system.

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All right, so we have this can of soda than lost Sue to. So the first steps to find how much so too was lost. We have mass converted, two moles, okay. And then find the concentration offs you to in that soda. Having the concentration we can actually computed the pressure by using hair is all. So the concentration off, I guess in the liquid is equals the constant hands constant, uh, times the pressure. Okay, so if we have the concentration and we we were give, we, um we have this constant from the question we can compute pressure. So that's how you go about this question. All right, so let's go. First step, we will take the difference. So we started with this mass on the can, and at the end, we had this mess. Okay, so you just take the difference, which is 2.2 grams and that CEO to write escaped from the can. All right, so the seat this massive see you too. We convert that to more using the molar mass. Just divide by the more mass right here, and you have, and you get the number of most 0.5 moles cool. Now let's find the concentration, the concentration, which is really the morality or sorry. The polarity in this case, um is the number of months okay, divided by divine, which is is also given in the question. This is the volume. However, we want that in leaders. So we apply a conversion factor. So 1000 letters is equivalent to one leader. Okay. And if you work this out, you should get 0.110 Mueller. But it's a little tight here. Okay, you should get that came. Now, all we have to do is to plug this back into the Henrys formal. So the concentration I'm going to write them more clarity is equals. Um, the hangers, constant times pressure. Okay, So pressure will be this concentration divided by hand is constant. Okay, so all right. We have the polarity already. It's 0.11 old muller, and we need the hangers constant, which is 3.4 times 10 to the negative, too. And that is, uh, Moeller. Per ate him. Okay, so just compute the number, and you should get 3.25 a t. M. All right. And this is only approximate because the main, the main. Our error. He would be the CEO to now escape completely front from the soda. Right? We know it takes a while to remove all the co two. So, um, you always getting have a residue in there? So that's probably the main source of error for this experiment, and that's why this numbers

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