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Chapter 11: Problem 8

You and your friend are each drinking cola from separate \(2-\mathrm{L}\) bottles. Both colas are equally carbonated. You are able to drink \(1 \mathrm{~L}\) of cola, but your friend can drink only about half a liter. You each close the bottles and place them in the refrigerator. The next day when you each go to get the colas, whose will be more carbonated and why?

Short Answer

Expert verified
Your friend's bottle will be more carbonated the next day because it has less air space inside (0.5 L) compared to your bottle (1 L), which allows less CO2 to escape and preserves more carbonation within the remaining liquid.

Step by step solution

01

Understand the concept of carbonation

Carbonation refers to the dissolved carbon dioxide (CO2) in a liquid, such as cola. When the bottle is closed and sealed, the CO2 cannot escape, and the carbonation level remains stable. When the bottle is opened, the CO2 starts to escape, and the liquid loses its carbonation. As more liquid is consumed, more air is left in contact with the remaining liquid, which means more carbon dioxide can potentially escape.
02

Compare the initial conditions

Both bottles started with 2 L of cola. You drank 1 L, leaving 1 L in your bottle. Your friend consumed 0.5 L, leaving 1.5 L in their bottle. This means that when both bottles were closed and placed in the refrigerator, your bottle had more air space (1 L) compared to your friend's bottle (0.5 L).
03

Assess the impact on carbonation levels

The amount of air space in the bottle will impact the carbonation levels. The more air space inside, the more CO2 can escape from the liquid, leaving it less carbonated. Since your bottle had more air space inside (1 L), more CO2 will have escaped the liquid, leaving it less carbonated compared to your friend's bottle.
04

Conclusion

Based on the analysis, your friend's bottle will be more carbonated the next day because it has less air space inside, which allows less CO2 to escape, and preserving more carbonation within the remaining liquid.

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