Changes of state and latent heat

AI Thread Summary
To calculate the total heat required to convert a 0.2 kg block of ice at -15°C to vapor at 115°C, the specific heat capacities for ice, water, and steam must be accurately used. The process includes heating the ice to 0°C, melting it into water, heating the water to 100°C, and then vaporizing it into steam before finally heating the steam to 115°C. The latent heat of fusion and vaporization must also be included in the calculations at the respective phase change temperatures of 0°C and 100°C. The initial calculations provided were incorrect due to the omission of these factors. The correct total heat required is approximately 620,000 J.
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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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