17. (a) How much heat transter is necessary to raise the temperature of a o.200-kg piece of ice from –20.0°C to 130°C, including the energy needed for phase changes? (b) How much time is required for each stage, assuming a constant 20.0 kJ/s rate of heat transfer? (c) Make a graph of temperature versus time for this process.

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17. (a) How much heat transfer is necessary to raise the
temperature of a o.200-kg piece of ice from –20.0°C to
130°C, including the energy needed for phase changes?
(b) How much time is required for each stage, assuming
a constant 20.0 k]/s rate of heat transfer?
(c) Make a graph of temperature versus time for this
process.
Transcribed Image Text:17. (a) How much heat transfer is necessary to raise the temperature of a o.200-kg piece of ice from –20.0°C to 130°C, including the energy needed for phase changes? (b) How much time is required for each stage, assuming a constant 20.0 k]/s rate of heat transfer? (c) Make a graph of temperature versus time for this process.
Expert Solution
Step 1

Concept:

Formula for heat transfer is 

Q=mcT

where,

Q=heat transfer,

m= mass of the substance, 

T= change in temperature. 

c =Specific heat 

To change the phase of a sample of mass m the Heat Q required is,

Q=mLfQ=mLv

where

Q =the amount of heat absorbed

M= mass 

Lf= latent heat of fusion

Lv= latent heat of vaporization 

Thus to change the temperature of ice the heat required will be

Q=mciceT1+mLf+mcwaterT2+mLv+mcsteamT3Rearranging the equationQ=mciceT1+Lf+cwaterT2+Lv+csteamT3

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