Unknown amounts of ice initially at temperature lower than 0 degrees celcius, wa

Question

Unknown amounts of ice initially at temperature lower than 0 degrees celcius, water initially at temperature higher than 0 degrees celcius but lower than 100 degrees celcius, and water vapour initially at temperature higher than 100 degrees celcius are placed in a thermally insulated vessel (meaning no heat is lost to the environment). List all the possible pairs final state/temperature (e.g. all ice at temperature lower than 0 degrees celcius)?

Thats the question the prof gave us, and I'm not exactly sure what he is asking.

Explanation / Answer

the energy amount going out of the warm water is equal to the energy amount going into the cool water. This means: qlost = qgain However: q = (mass) (?t) (Cp) So: (mass) (?t) (Cp) = (mass) (?t) (Cp) With qlost on the left side and qgain on the right side. Substituting values into the above, we then have: (32.2) (46.8 - x)(4.184) = (32.2) (x - 14.9) (4.184)

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