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Can someone help me with this problem? The answer I got was incorrect. Is it som

ID: 1407992 • Letter: C

Question

Can someone help me with this problem? The answer I got was incorrect.

Is it something along the lines of McT ice + ML fusion ice + McT ice to water + mcT water = 0?

Trying to beat the heat of the last summer, a clever physics student went to the local toy store and purchased a plastic child's swimming pool. Upon returning home, she filled it with 180 liters of water at 22 °C. Realizing that the water would probably not be cool enough, she threw ice cubes from her refrigerator, each of mass 25 g, into the pool. The ice cubes were originally at -3 °C. She continued to add ice cubes, until the temperature stabilized to 16° C. She then got in the pool to relax and work out some trig problems on her TI-84 (the special waterproof edition). 1) How many ice cubes did she add to the pool to get the temperature to 16 °c? (Consider the pool and ice cubes an isolated system. Round up to the next whole cube 575 ubes Submit

Explanation / Answer

Here, if n = the number of ice cubes,

n mice cice (0 - (-3 C)) + n mice Lf + n mice cwater (16C - 0 C) + mpool cwater (16C - 22 C) = 0

Plugging in

cice = 2.03 J/g C
Lf = 334 J/g
cwater = 4.184 J/g C

Thus,

n = 444.06 ice cubes = 445 ice cubes [ANSWER]

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