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

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SUMMARY

The discussion focuses on a thermodynamics problem involving an iron stamp with mass M and temperature T0 (greater than 100°C) placed on a cube of ice with mass m and temperature t0 (0°C). The key equation used is Q = mcΔt, which relates heat transfer to mass and temperature change. The user seeks to determine the percentage of ice that melts, introducing a constant K to represent this percentage, leading to two unknowns: K and T. The challenge lies in solving for these variables without specific numerical values.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically heat transfer.
  • Familiarity with the equation Q = mcΔt.
  • Knowledge of phase changes, particularly melting ice.
  • Basic algebra skills for solving equations with multiple variables.
NEXT STEPS
  • Study the concept of latent heat and its role in phase changes.
  • Learn how to apply the conservation of energy principle in thermodynamic systems.
  • Explore examples of heat transfer problems involving multiple phases.
  • Investigate methods for solving systems of equations with multiple unknowns.
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, educators teaching heat transfer concepts, and anyone interested in solving complex thermal equilibrium problems.

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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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