Problem

A kilogram of aluminum metal and a kilogram of wa…

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Problem 39 Medium Difficulty

A person packs two identical coolers for a picnic, placing twenty-four 12-ounce soft drinks and 5 pounds of ice in each. However, the drinks put into cooler A were refrigerated for several hours before they were packed in the cooler, while the drinks put into cooler B were at room temperature. When the picnickers open the two coolers three hours later, most of the ice in cooler A is still present, while nearly all of the ice in cooler B has melted. Explain this difference.

Answer

Given that $A$ and $B$ are two coolers. Cooler $A$ is refrigerated for several hours before it was
packed whereas cooler $B$ is at a room temperature. After 3 hours most of the ice is still present in
cooler $A$ and the ice in cooler $B$ is melted. The reason can be explained as below.
In case of cooler $\mathrm{A},$ the temperature difference between cooler $\mathrm{A}$ and the drinks is low. But in
case of cooler $\mathrm{B},$ the temperature difference is high. So thermal energy exchange between the
cooler $\mathrm{B}$ and the drinks is more than cooler $\mathrm{A}$ . Hence most of the ice melted during that period whereas thermal exchange is very low in case of cooler $A,$ so most of the ice remains as it is.

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Video Transcript

Chapter nine section from thirty nine ah Person packs two identical coolers for a picnic, placing twenty four twelve ounce soft rains and five pounds of ice in each, However, the drinks put into cooler A were refrigerated for sour hours before they were packed into cooler while drinks into cooler be rat room temperature. When the picnic players opened up the coolers for three hours later, them more most of the ice and cooler it was still present. Well, nearly all the ice and cooler B has melted, explained the difference. First thing here, we need to realize, is what can melt the ice and what we usually you're looking at is that ice most from heat and the chemistry terminology. Heat is the exchange of thermal energy or the change of energy between a system and the surrounding. Also, the more energy it will always go from hot, too cold. So we always want to see if it's going from a system that is hotter. Always go to the strumming that is colder, or if this surrounding his hot along is good to the quarter system. So we'LL see the difference of that in our diagrams when we look into the next page. So I'm going to draw our soup cans as a box with the label of a innit and go through the different steps of what's happening throughout this word problem here. So we have twelve twenty four pack of soda cans of a that was at room temperature, which is about twenty five degrees Celsius. And this was for cooler, eh? These soda cans were first placed into a refrigerator. The refrigerator is going to be our surroundings, which is about four degrees Celsius. It's lettuce quarter than our cans, which was recently twenty five. And since the cans are warmer, hotter than the surrounding is going to release heat into the surrounding, which this is going to create a change in the system. And since there's going to be release of heat, this creates a change in temperature, and this change in temperature is the thermal energy, so this has a high thermal energy in this step. Next we take the eye that Pakis Ota and they put it into you a ice chests, and we all know that water freezes absurd degree Celsius. So another temperatures about zero degrees you and our new temperature for soda cans are for decree Celcius, so there is still a change in temperature. So he does still wanna be changing to go into those ice cubes. But there's less thermal energy happening here and that changing capture. So the most summer energy that's happening is here in this middle step, where there's less happening here because we're all good from four to zero degrees or in this middle step, we're going from twenty five to four. But when we looking at the cooler E, we're going straight from twenty five degree Celsius at room temperature, two zero degrees Celsius of the ice chests. And so there is a larger Thurman thermal energy change here. Then they're wass. When they went from at this ice chests, there was here. So this has the highest thermal energy change due to go from twenty five to zero because it has the largest temperature difference, because this has twenty five degrees where this one was only four. So this has the highest for the overall, and that is why all of the are majority of the ice was melting with because all this heat from the sodas was coming out to hope. Balance out the system

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