I have a bunch of questions like the ones below. Would anyonewalk me through or

Question

I have a bunch of questions like the ones below. Would anyonewalk me through or give me a start on these so I can understand howto do them for the rest? "A thermometer is in a container half-filled with 20 degreeCelcius water. a) When an equal volume of 20C water is added, the temperatureof the mixture is..     10C 20C 30C I answered 20C, but that is just an intelligent guess, nocalculating involved. b) When instead an equal volume of 40C water is added, thetemp will be..      20C 30C 40C c) When instead a small amount of 40C water is added, the tempwill be..     20C between 20C and 30C 30C   more than 30C " Any help on how to do these problems so I can do thisworksheet would be great! Thanks in advance! I have a bunch of questions like the ones below. Would anyonewalk me through or give me a start on these so I can understand howto do them for the rest? "A thermometer is in a container half-filled with 20 degreeCelcius water. a) When an equal volume of 20C water is added, the temperatureof the mixture is..     10C 20C 30C I answered 20C, but that is just an intelligent guess, nocalculating involved. b) When instead an equal volume of 40C water is added, thetemp will be..      20C 30C 40C c) When instead a small amount of 40C water is added, the tempwill be..     20C between 20C and 30C 30C   more than 30C " Any help on how to do these problems so I can do thisworksheet would be great! Thanks in advance!

Explanation / Answer

I think you're doing it the right way..just by reasoningthings out. For b), I would say that since you add an equal volume ofwater that is TWICE as hot, the new temperature (assuming we let itcome to pseudo-equilibrium) would be the average of the two temps:[40 + 20] / 2 = 30 deg. for c), you are just adding a small amount of TWICE as hotwater, I would assume that the water would heat up slightly, butthe heat would have to dissipate through the entire volume of 20deg water, just raising the temperature slightly above 20deg. I don't know that there is a direct mathematical approach youare supposed to take. These seem, at least to me, to be moreconceptual that anything else.

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