How much energy does it take to heat a block of ice

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SUMMARY

The energy required to change a 35 g ice cube from ice at -15°C to steam at 117°C is calculated using specific heat values and phase change enthalpies. The specific heat of ice is 2090 J/kg·°C, water is 4186 J/kg·°C, and steam is 2010 J/kg·°C. The heat of fusion is 3.33 × 105 J/kg, while the heat of vaporization is 2.26 × 106 J/kg. The correct total energy required is 114734 J, factoring in the temperature changes and phase transitions accurately.

PREREQUISITES
  • Understanding of specific heat capacity
  • Knowledge of phase changes (melting and vaporization)
  • Familiarity with the formula Q = m*c*ΔT
  • Basic proficiency in unit conversions (grams to kilograms)
NEXT STEPS
  • Review the calculations for phase changes in thermodynamics
  • Learn about specific heat capacities of different substances
  • Explore the concept of enthalpy in chemical reactions
  • Practice problems involving heat transfer and temperature changes
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Students studying thermodynamics, physics enthusiasts, and anyone needing to solve energy transfer problems involving phase changes and temperature variations.

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Homework Statement


How much energy is required to change a 35 g ice cube from ice at −15 C to steam at 117 C?
The specific heat of ice is 2090 J/kg * C, the specific heat of water is 4186 J/kg * C, the specific heat of stream is 2010 J/kg * C, the heat of fusion is 3.33 × 10^5 J/kg, and the heat of vaporization is 2.26 × 10^6 J/kg.
Answer in units of J.


Homework Equations



Q=m*L
Q=m*c*\DeltaT

The Attempt at a Solution


35g*15C*2090J/kg*C - heat to raise ice's temp. to freezing
+ 3.33 * 10^5 J/kg *35g - heat to melt ice into water
+ 100C *4186J/kg*C *35g - heat to raise water temperature to boiling
+ 2.26*10^6 J/kg* 35g - heat to boil water into vapor
+ 2010 J/kg*C *117C *35g - heat to make vapor rise to 117 C
=114734 J

I tried this answer and the program says it's incorrect, what am I doing wrong?
 
Physics news on Phys.org
The steam only has to rise 17C in temperature from 100C to 117C.
 
Thanks for your help... I completely missed that, I guess that's what I get for trying to do physics late at night. :)
 

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