Question

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 cap ( 851.3 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?

   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 cap ( 851.3 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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Chemistry
Chemistry
Raymond Chang, Jason… 14th Edition
Chapter 12, Problem 137 ↓
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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 cap ( 851.3 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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A student carried out the following experiment to measure the pressure of carbon dioxide in the space above the carbonated soft drink in a bottle. First, she weighed the bottle $(853.5 \mathrm{g}) .$ Next, she carefully removed the cap to let the $\mathrm{CO}_{2}$ gas escape. She then reweighed the bottle with the cap $(851.3 \mathrm{g})$. Finally, she measured the volume of the soft drink $(452.4 \mathrm{mL}) .$ Given that the 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 $\mathrm{CO}_{2}$ over the soft drink in the bottle before it was opened. Explain why this pressure is only an estimate of the true value.

Chemistry

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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 CO2 gas escape. She then reweighed the bottle with the cap (851.3 g). Finally, she measured the volume of the soft drink (452.4 mL). Given that Henry’s law constant for CO2 in water at 25°C is 3.4 x 10^22 mol/L atm, calculate the pressure of CO2 in the original bottle.

18-a-student-carried-out-the-following-procedure-to-measure-the-pressure-of-carbon-dioxide-in-a-soft-drink-bottle-first-she-weighed-the-bottle-8535-g-next-she-carefully-removed-the-cap-to-le-67846

18. 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 CO2 gas escape. She then reweighed the bottle with the cap (851.3 g). Finally, she measured the volume of the soft drink (452.4 mL). Given that Henry’s law constant for CO2 in water at 25°C is 3.4 x 10^22 mol/L atm, calculate the pressure of CO2 in the original bottle.


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Transcript

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00:01 All right, so we have this can of soda that lost co2.
00:07 So the first steps to find how much co2 was lost.
00:11 We have mass, converted that to moles, okay, and then find the concentration of co2 in that soda.
00:19 Having the concentration, we can actually compute the pressure by using hair as well.
00:26 So the concentration of a gas in a liquid is equals the constant, henry's constant times the pressure.
00:36 Okay, so if we have the concentration and we will give we we have this constant from the question, we can compute pressure.
00:45 So that's how you go about this question.
00:48 All right.
00:48 So let's go.
00:51 First step, we will take the difference.
00:56 So we started with this mass on the can.
01:00 And at the end we had this mass.
01:04 Okay, so you just take the difference, which is 2 .2 grams, and that's co2, right? that escaped from the can.
01:12 All right, so this mass of co2 will convert that to mole using the molar mass.
01:19 Just divide by the molar mass right here, and you have, and you get the number of moles, 0 .05 mole.
01:28 Now, let's find the concentration.
01:31 The concentration, which is really the molality, sorry, the molarity in this case, is the number of moles divided by the volume, which is also given in the question.
01:48 This is the volume.
01:49 However, we want that in liters...
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