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(a) A person drinks four glasses of cold water (3.0 $^{\circ}$ C) every day. The volume of each glass is $2.5 \times 10^{2} \mathrm{mL} .$ How much heat (in kJ) does the body have to supply to raise the temperature of the water to $37^{\circ} \mathrm{C},$ the body temperature? (b) How much heat would your body lose if you were to ingest $8.0 \times$ $10^{2} \mathrm{g}$ of snow at $0^{\circ} \mathrm{C}$ to quench thirst? (The amount of heat necessary to melt snow is $6.01 \mathrm{kJ} / \mathrm{mol} .)$

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$388.8 k J$

Chemistry 101

Chapter 6

Thermochemistry

Carleton College

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Lectures

05:27

In chemistry, a chemical reaction is a process that leads to the transformation of one set of chemical substances to another. Both reactants and products are involved in the chemical reactions.

06:42

In chemistry, energy is what is required to bring about a chemical reaction. The total energy of a system is the sum of the potential energy of its constituent particles and the kinetic energy of these particles. Chemical energy, also called bond energy, is the potential energy stored in the chemical bonds of a substance. Chemical energy is released when a bond is broken during chemical reactions.

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So this problem has two parts. The first part asked us to find how much heat the body has to supply to raise the temperature of drinking water. That person drinks every day. So in order to take or in order to solve this, we first need to find how we're going to approach this problem. And the way that we're gonna approach the first part is going to be that the heat is equal to maths times a specific key capacity times change the temperature. In this case, this will not only in correspond to the amount of heat that the body gives off, but how much heat that the water absorbs. So the first thing we do is we need to find the mask, the water. So even though we aren't given the mass of the water specifically, you do know the volume. So this person drinks four glasses of water and each glass of water has a volume off 2.5 times 10 the two milliliters. So that just means that that person just drinks one litre of water every day. Because this turns out to be 1.0 times 10 to the three milliliters much equals. So that's the volume of water. And we know that one leader of water corresponds to one kilogram of water because Danske is one and that equals 1000 grams. That solves em. And we know s and we know delta t so we can plug the values into the expression. So we know that the masses 1000 grams, the specific heat capacity of water is 4.14 as always, and we know the change in temperature because the final temperature is body temperature just 30 70 re Celsius on the initial temperature was three degrees Celsius. The change will be 34 degrees. You plug all those numbers in, you'll get that the energy is 1000 approximately 143,000 and 250 jewels benefit. So that is the answer to part eight. You can also convert this to kill it, Jules. It should be one for two killer goals. So I did. Those is a car cancer. Now we have part B. Part B is a little longer. And it asked, how much heat would your body lose if you ingested some amount of snow so In this case, we not only have to take into account for the fact that your body has to melt the snow first. With that would that snow that's melted, which is water that needs to raise the temperature that once again. So we first need to find how much energy takes to melt this now. So we know that there is 8.0 grams or eight point. No times tend to the two grams of snow, and we know the how much he is required. Toe melt one mole, but we're missing is a relationship between the weight as well, or the molar mass of the snow and in correspondence with the moles. So that's pretty simple because you know, the more mass of water, which is approximately 18 grams. That's one more. I mean that for every one mole of I sense tree melted, it takes your body six point. No one killed Jules. So when you multiply all of that out, you get. But the answer is she 166 killer jewels. That's just melting the snow first. Now we have to take into account for increasing the temperature of the water that was melted, so we would just use the exact same equation, which is that Q equals last time. Specific key capacity times changed temperature, so we know the mass eight point no time sent to the to. We also know that the specific heat capacity is 4.14 when we also know that the change in temperature well, the final temperature is 37 and when the snow melts and turns into liquid at that point, it's right at the freezing point for the melting point on that is zero degrees Celsius, so change in temperature will go from 0 to 37. So when you plug all of that in, then you get the answer is 122 killer goals. So the total heat or the total energy supplied, so the total heat comes from both melting the ice and heating the water. So all you have to do is when you add those two together, you'll get the answers 388 chemicals, and that is the final answer

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