Thermodynamics - again, Part of the ice that melt :S

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The discussion revolves around a thermodynamics problem involving a heated iron stamp placed on a cube of ice. The main question is how much of the ice will melt when the stamp is applied, given the initial temperatures and masses. The user attempts to solve the problem using the heat transfer equation Q = mcΔt but encounters difficulties due to having two unknowns, K (the percentage of ice melted) and T (the final temperature). Suggestions include exploring various scenarios and formulas to account for different outcomes without specific numerical values. The conversation emphasizes the complexity of the problem and the need for a systematic approach to find a solution.
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Homework Statement



Stamp of iron the his mass - M and temp' - T0 (T0>100 C deg') has been placed on cube of ice.

The mass of the ice - m, the temp' - t0 = 0 C deg'


How many present of the ice get melt?

Homework Equations



Q = mc\Deltat

The Attempt at a Solution



If I let all the ice getting melt, I got one equation with one unknown size - T (end)

But if I define constant K that representative the presents of the ice that melt... I got two unknown sizes - K and T (end)

What I supposed to do?!

Thanks in advance!
 
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Without actual numbers to put in the variables there are a number of different outcomes possible. Perhaps you are expected to identify and show formulas for all of the possibilities?
 

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