What Is the Final Temperature When Mixing Ice and Steam?

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When mixing 0.50 kg of ice at 0 degrees Celsius with 0.1 kg of steam at 100 degrees Celsius, the final temperature is determined by the heat exchange between the melting ice and condensing steam. The initial calculations provided were incorrect as they did not account for the specific heats of fusion and vaporization. To find the correct final temperature, one must consider the energy required for the ice to melt and the steam to condense. The correct approach involves setting the heat gained by the ice equal to the heat lost by the steam. Ultimately, the final temperature after mixing is approximately 16 degrees Celsius.
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0.50kg of ice at 0degrees is mixed with 0.1kg of steam at 100degrees. what is the final temperature?


The Attempt at a Solution



0.5*2100*(X-0) = 0.1*2000*(100-X)
1050X = 20,000-200X
3050X = 20,000
X = 16

But that's not the temp?

Can someone please help me out. Thank you. Sirsh
 
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When the ice and steam are mixed, the ice will start melting and the steam will start condensing. You need to take into account the specific heats of fusion and vaporization.
 
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