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You place 20g of ice initially at -10 degrees celcius and 200g of an unknown substance...

You place 20g of ice initially at -10 degrees celcius and 200g of an unknown substance initially at 90 degrees celcius together in an insukated container. You find that the final temperature of the system is 34.6 degrees celcius and note that the unknown substance did not change phase. Given that the specific heat of ice is 2.04 kJ/kg•K, the specific heat of liquid water is 4.18 kJ/kg•K, and the heat of fusion of water is 334 kJ/kg, find the specific heat of the unknown substance.
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Answer #1

Heat emitted by unknown substance (while changing its temperature from Tu=900 C to T=36.40C ) = Heat abosorbed by ice( initially changes from ice at Ti = -100 C to 00 C, then ice at 00C to water at 00C finally from water at 00 C to water at T=36.40C )

Specific heat of unknown substance is

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