Thermodynamics heat absorption problem

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SUMMARY

The discussion focuses on calculating the total heat absorbed when converting 2 kg of ice at -5°C to steam at 110.0°C. The specific heats of ice, liquid water, and steam are 2060 J/kg·K, 4180 J/kg·K, and 2020 J/kg·K, respectively. The heat of fusion for ice is 3.34 x 10^5 J/kg, and the heat of vaporization for water is 2.26 x 10^6 J/kg. The process involves five distinct stages: warming the ice, melting, heating the water, vaporizing, and finally heating the steam, each requiring specific calculations using the provided formulas.

PREREQUISITES
  • Understanding of specific heat capacity (J/kg·K)
  • Knowledge of heat fusion and heat vaporization concepts
  • Familiarity with thermodynamic equations for heat transfer
  • Basic algebra for calculating heat inputs
NEXT STEPS
  • Calculate heat absorbed during the warming of ice from -5°C to 0°C
  • Determine heat absorbed during the melting of ice at 0°C
  • Compute heat absorbed while heating water from 0°C to 100°C
  • Evaluate heat absorbed during the vaporization of water at 100°C
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone involved in heat transfer calculations will benefit from this discussion.

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Homework Statement



How much heat is absorbed in changing 2-kg of ice at -5°C to steam at 110.0°C? The Specific heats of ice, liquid water, and steam are, respectively, 2060 J/Kg x K, 4180 J/Kg x K, and 2020 J/Kg x K. The heat fusion of ice is 3.34 x 10^5 J/Kg. The heat of vaporization of water is 2.26 x 10^6 J/kg


Homework Equations



Q=mHf
Q=mHv
Q=mC(change in temp)

The Attempt at a Solution



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You have all the information and formulas you need. Consider that you have five stages that the water has to go through in this process:

the ice must warm up from -5º C to 0º C ;
the ice must then melt into (liquid) water at a constant 0º C ;
the meltwater must now warm from 0º C to 100º C ;
the water must next vaporize into steam at a constant 100º C ; and, finally,
the steam must heat up from 100º C to 110º C .

So you will have five heat terms to compute, using the given information (they were nice to you and didn't even make you do unit conversions). You will get a total heat input in Joules.
 

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