Changes of state and latent heat

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SUMMARY

The discussion focuses on calculating the total heat required to transform a 0.2 kg block of ice at -15°C into vapor at 115°C. The initial calculations provided were incorrect due to the use of inappropriate specific heat capacities and the omission of latent heat during phase changes. The correct approach involves using specific heat capacities for ice, water, and steam, as well as incorporating the latent heat of fusion at 0°C and the latent heat of vaporization at 100°C. The final total heat required is 620,000 J.

PREREQUISITES
  • Understanding of specific heat capacity for ice, water, and steam
  • Knowledge of latent heat of fusion and vaporization
  • Familiarity with the formula for calculating heat transfer: Eh = mc(t2 - t1)
  • Ability to perform calculations involving phase changes
NEXT STEPS
  • Research the specific heat capacities of ice, water, and steam
  • Learn about the latent heat of fusion and vaporization values for water
  • Study the concept of phase changes and their impact on thermal energy calculations
  • Practice similar heat transfer problems involving phase changes and temperature variations
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone involved in heat transfer calculations in physical sciences.

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Homework Statement


A 0.2 kg block of ice at -15*C is placed into a pan on a stove, heated to a liquid, and then to vapour with a final temperature of 115*C. Calculate the total amount of heat required for this process.


Homework Equations


Eh = mc(t2 - t1)
Lf (or Lv) = Eh / m

The Attempt at a Solution


Etotal = Emelting + Evapourization

Emelting = mct
= (0.2kg)(4.2x10^3)(0+15*C)
= 12 600 J

Evapourization = mct
= (0.2kg)(4.2x10^3)(115-0*C)
= 96 600 J

Etotal = 12600 + 96 600J
= 109 200 J or 1.1 x 10^5

What am i doing wrong? The answer is 6.2 x 10^5 J.
 
Physics news on Phys.org
1) You need to use the correct specific heat capacity for ice, water, and steam.
2) You need to incorporate the latent heat of the phase transformations that occur at 0°C and 100°C.
 

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