You have 975 grams of liquid water in a 275 gram glass container. Initially, the water and the container both have a temperature of 22.5 °C. You would like to cool the water and the container to a final temperature of 10.5 °C. You have a large supply of ice, which is initially at 0 °C. How much ice would you need to add to the container in order to get the desired final temperature after the ice melts and thermal equilibrium is reached? Give your answer in grams. The specific heat of liquid water is 4,186 J kg-1 °C1, the specific heat of glass is 845 J kg- °C-1, and the latent heat of fusion of water is 333,500J kg-!. Assume that the glass + liquid water + ice is an isolated system (i.e., no heat flows in or out of the system during this process).

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You have 975 grams of liquid water in a 275 gram glass container. Initially, the water and
the container both have a temperature of 22.5 °C. You would like to cool the water and
the container to a final temperature of 10.5 °C. You have a large supply of ice, which is
initially at 0 °C. How much ice would you need to add to the container in order to get the
desired final temperature after the ice melts and thermal equilibrium is reached? Give
your answer in grams. The specific heat of liquid water is 4,186 J kg-1 °C-1, the specific
heat of glass is 845 J kg-1 °C-!, and the latent heat of fusion of water is 333,500 J kg-!.
Assume that the glass + liquid water + ice is an isolated system (i.e., no heat flows in or
out of the system during this process).
Transcribed Image Text:You have 975 grams of liquid water in a 275 gram glass container. Initially, the water and the container both have a temperature of 22.5 °C. You would like to cool the water and the container to a final temperature of 10.5 °C. You have a large supply of ice, which is initially at 0 °C. How much ice would you need to add to the container in order to get the desired final temperature after the ice melts and thermal equilibrium is reached? Give your answer in grams. The specific heat of liquid water is 4,186 J kg-1 °C-1, the specific heat of glass is 845 J kg-1 °C-!, and the latent heat of fusion of water is 333,500 J kg-!. Assume that the glass + liquid water + ice is an isolated system (i.e., no heat flows in or out of the system during this process).
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